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Тема: Эврика! Новый подход к описанию ладов!
Время: 27.11.2005 22:17 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
Минор можно описать так: x(n)=0 2 3 5 7 8 10 12; x'(n)=2 1 2 2 1 2 2; x''(n)=-1 1 0 -1 1 0; x'''(n)=2 -1 -1 2 -1; x(IV)(n)=-3 0 3 -3; x(V)(n)=3 3 -6; x(VI)(n)=0 -9; x(VII)(n)=-9. ![]() Для мажора последняя производная равна -16. Дорийский лад 0 2 3 5 7 9 10 12 = 12; Цыганский лад 0 1 4 5 7 8 11 12 = -36; Для лада 0 1 3 6 7 9 10 12 = 40. Для китайского лада 0 2 4 7 9 12 = 7. Всякие гаммы типа 0 1 2 3 4 5 6 7 8 9 10 11 12; 0 2 4 6 8 10 12 или 0 3 6 9 12 соответствуют нулю. С чем связаны подобные числа мне не понятно, но идея, на мой взгляд, достаточно интересная. Заметно, что это число отражает ломанность лада. Удивительно, что для больших по модулю чисел характерны переполненные диссонансами лады, имеющие тяжёлое звучание. |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 28.11.2005 06:26 |
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6 струн ![]() ![]() ![]() |
Вампир, ты подхватил птичий грипп, в смысле, гуси полетели. ![]() |
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 28.11.2005 07:44 |
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Москва Вибрафон, перкуссия ![]() ![]() ![]() |
Да это же Нобелевская премия! Браво! | |
Если при столкновении головы и книги происходит глухой стук, то не всегда в этом виновна книга.
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Тема: Эврика! Новый подход к описанию ладов!
Время: 28.11.2005 17:46 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
Да, кстати, для октатоники подобное число равно аж 64 ! 0 1 3 4 6 7 9 10 12 -> 1 2 1 2 1 2 1 2 -> 1 -1 1 -1 1 -1 1 -> -2 2 -2 2 -2 2 -> 4 -4 4 -4 4 -> -8 8 -8 8 -> 16 -16 16 -> -32 32 -> 64 Хотя она не особо ломанная. То есть это говорит об эмоциональности лада. Такой подход позволяет нарисовать график, говорящий о некоторой зависимости эмоциональности от лада. Нужно только решить, какова данная зависимость, поскольку моё восприятие будет субъективно. Если минор - это 9, а мажор - 16, бессмысленные лады - 0, а всякие жёсткие лады больше 30, то есть некоторая серединка с приятным звучанием, в которой эмоциональность не велика, а по краям либо слишком много эмоций, либо их совсем нет. |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 28.11.2005 18:05 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
Формула типа такого вида: (1-exp(-n*K1))*exp(-n*K2) Коэффициенты К1 и К2 надо ещё подобрать. |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 28.11.2005 18:11 |
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6 струн ![]() ![]() ![]() |
Вау, ёпт!!! ![]() |
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 28.11.2005 18:40 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
Это чо такое? | |
В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 28.11.2005 19:30 |
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6 струн ![]() ![]() ![]() |
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 29.11.2005 00:43 |
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36/0 ![]() ![]() |
П.и.з.д.е.ц.!!!! Вампир я тоже хочу той травы, которую ты курил!!!! ![]() ![]() ![]() ![]() ![]() |
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 29.11.2005 14:13 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
Не, а чо не понятно-то? ![]() |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 30.11.2005 01:42 |
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Злой Блюзмен
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Это не трава была, сто процентов - грибы! Вопрос какие? Слышь, Вампир, какие грибочки употребляешь? |
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 30.11.2005 02:04 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
Рецепт прост. Постоянная задумчивость, нельзя следить за своим имиджем, нужно иметь математический склад ума, потологическую девственность. И всё ![]() А кто-нибудь проверял мой подход к каким-нибудь другим ладам? Какие закономерности проследили? Завтра попробую посчитать коэфициенты для большего количества ладов и всё выпишу, а потом сами думайте. Мне уже понятно, что для злобной музыки этот коефициент следует пытаться увеличить. |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 30.11.2005 02:09 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
Чото мне подсказывает, чтэ "Злой Блюзмен" - это Al. ![]() |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 30.11.2005 02:46 |
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выкинь нафиг своё *Чото*. оно неправилньо показывает. |
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 30.11.2005 03:04 |
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Vampyre
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 30.11.2005 16:28 |
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Вампир ты гений!!! И че ты на этом форуме делаешь??? | |
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 30.11.2005 18:47 |
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Спиралеформная Пропасть гитара, секвенсер, ВДП ![]() ![]() ![]() |
2 Vampyre: По логике вещей, надо составить полную таблицу всех ладов (да их всего-то не более 2^12 = 4096) и напротив каждого нарисовать эту самую высшую "производную". Там и будет видно, какие там случаи бывают. Кстати, не производная здесь применяется, а "конечная разность". (Но мне кажецца, что за уши здесь оно все притянуто.) |
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 30.11.2005 19:00 |
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Москва Вибрафон, перкуссия ![]() ![]() ![]() |
>(Но мне кажецца, что за уши здесь оно все притянуто.) А мне кажется, что не за уши... ![]() |
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Если при столкновении головы и книги происходит глухой стук, то не всегда в этом виновна книга.
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 02:03 |
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Злой Блюзмен
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2 Вампир На "потологическую девственность" я пойтить не могу. Поздновато привычки менять. Про грибочки не хочешь колоться, припомним. Ну я канечна не математик, но все-таки то, чем ты пробуешь заниматься - это типа определение кривизны пространства (в данном случае музыкального). Тут производными не обойтись, надо в топологию лезть. Да, про комплексные числа не забудь, аналог в музыке существует. А вообще, верной дорогой идете товарищ (с) ВИ+ИВ! Когда опубликуешь описание кривизны 7 натуральных ладов (правильно, а не как получилось), скажу где прочитать про все остальные. А пока пилите Шура, пилите... ![]() |
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 02:32 |
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Вампуша попал хы. |
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 02:46 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
"Вампуша попал" - да посчитаю я для самых распространённых ладов. Что касается натянутости на уши, то это я не скрывал, просто нашёл способ посчитать новый коэффициент, который вроде бы пока сбоев не давал. |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 16:10 |
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Москва Ovation, Spector, Musicman, Genelec, Fractal ![]() ![]() ![]() |
Наброс прогу для посчета этих чисел - вот результат ![]() 140 => 1,2,3,4,5,8,9,10,11,12; 126 => 1,2,3,4,5,6,8,9,10,11,12; 105 => 1,2,3,4,8,9,10,11,12; 98 => 1,2,3,4,5,7,8,10,11,12; 1,2,3,5,6,8,9,10,11,12; 91 => 1,2,3,4,7,8,10,11,12; 84 => 1,2,3,4,6,7,8,9,10,11,12; 77 => 1,2,3,4,6,7,10,11,12; 1,2,4,5,8,9,10,11,12; 71 => 1,2,3,4,7,8,9,10,12; 1,2,3,4,5,7,8,9,10,12; 1,3,4,5,6,8,9,10,11,12; 70 => 1,2,3,4,7,8,9,10,11; 1,2,3,4,5,7,8,9,10,11; 2,3,4,5,8,9,10,11,12; 2,3,4,5,6,8,9,10,11,12; 69 => 1,3,4,5,8,9,10,11,12; 63 => 1,2,3,4,7,8,9,11,12; 1,2,3,4,5,6,10,11,12; 1,2,4,5,7,8,10,11,12; 62 => 1,2,3,4,5,7,8,9,11,12; 1,2,4,5,6,8,9,10,11,12; 60 => 1,2,3,4,5,10,11,12; 1,2,3,5,6,10,11,12; 1,2,3,6,7,10,11,12; 1,2,3,7,8,10,11,12; 1,2,3,8,9,10,11,12; 57 => 1,2,3,4,6,7,9,10,12; 56 => 1,2,3,4,6,7,9,10,11; 1,2,3,4,5,6,7,10,11,12; 2,3,4,5,7,8,10,11,12; 1,2,3,5,6,7,8,10,11,12; 1,2,3,6,7,8,9,10,11,12; 55 => 1,3,4,5,7,8,10,11,12; 50 => 1,2,3,4,10,11,12; 49 => 1,2,3,4,6,7,9,11,12; 1,2,4,5,6,7,10,11,12; 1,2,3,5,8,9,10,11,12; 1,2,5,6,8,9,10,11,12; 46 => 1,2,3,4,5,9,10,12; 1,2,3,5,6,9,10,12; 1,2,3,6,7,9,10,12; 1,2,3,7,8,9,10,12; 1,3,4,5,6,10,11,12; 1,3,4,6,7,10,11,12; 1,3,4,7,8,10,11,12; 1,3,4,8,9,10,11,12; 45 => 1,2,3,4,5,9,10,11; 1,2,3,5,6,9,10,11; 1,2,3,6,7,9,10,11; 1,2,3,7,8,9,10,11; 1,2,4,5,10,11,12; 2,3,4,5,6,10,11,12; 2,3,4,6,7,10,11,12; 2,3,4,7,8,10,11,12; 2,3,4,8,9,10,11,12; 43 => 1,2,3,4,5,6,9,10,12; 1,2,4,5,7,8,9,10,12; 42 => 1,2,3,4,5,6,9,10,11; 1,2,4,5,7,8,9,10,11; 2,3,4,5,6,7,10,11,12; 2,3,5,6,8,9,10,11,12; 41 => 1,2,3,4,9,10,12; 1,3,4,5,6,7,10,11,12; 1,3,5,6,8,9,10,11,12; 40 => 1,2,3,4,9,10,11; 2,3,4,5,10,11,12; 1,2,5,6,10,11,12; 39 => 1,2,3,4,5,9,11,12; 1,2,3,5,6,9,11,12; 1,2,3,6,7,9,11,12; 1,2,3,7,8,9,11,12; 1,3,4,5,10,11,12; 1,2,4,5,6,10,11,12; 1,2,4,6,7,10,11,12; 1,2,4,7,8,10,11,12; 1,2,4,8,9,10,11,12; 37 => 1,2,3,4,6,7,8,9,12; 36 => 1,2,3,4,6,7,8,9,11; 1,2,4,5,9,10,12; 2,3,4,5,7,8,9,10,12; 1,2,3,10,11,12; 1,2,3,4,5,6,7,8,10,11,12; 35 => 1,2,3,4,6,7,8,9,10; 1,2,4,5,9,10,11; 2,3,4,5,7,8,9,10,11; 1,3,4,5,7,8,9,10,12; 1,2,3,4,9,11,12; 1,2,3,4,5,6,9,11,12; 1,2,4,5,7,8,9,11,12; 2,3,5,6,10,11,12; 1,2,6,7,10,11,12; 1,2,3,5,7,8,10,11,12; 1,2,5,6,7,8,10,11,12; 1,2,3,4,7,9,10,11,12; 3,4,5,6,8,9,10,11,12; 34 => 1,3,4,5,7,8,9,10,11; 1,3,5,6,10,11,12; 2,4,5,6,8,9,10,11,12; 33 => 1,4,5,6,8,9,10,11,12; 32 => 1,2,3,4,8,9,12; 1,2,3,4,5,8,9,12; 1,2,3,5,6,8,9,12; 1,2,3,6,7,8,9,12; 1,3,4,5,6,9,10,12; 1,3,4,6,7,9,10,12; 1,3,4,7,8,9,10,12; 1,4,5,6,7,10,11,12; 1,4,5,7,8,10,11,12; 1,4,5,8,9,10,11,12; 31 => 1,2,3,4,8,9,11; 1,2,3,4,5,8,9,11; 1,2,3,5,6,8,9,11; 1,2,3,6,7,8,9,11; 1,3,4,5,6,9,10,11; 1,3,4,6,7,9,10,11; 1,3,4,7,8,9,10,11; 1,2,3,9,10,12; 2,3,4,5,9,10,12; 1,2,5,6,9,10,12; 2,3,4,5,6,9,10,12; 2,3,4,6,7,9,10,12; 2,3,4,7,8,9,10,12; 1,3,4,10,11,12; 2,4,5,6,7,10,11,12; 2,4,5,7,8,10,11,12; 2,4,5,8,9,10,11,12; 30 => 1,2,3,4,8,9,10; 1,2,3,4,5,8,9,10; 1,2,3,5,6,8,9,10; 1,2,3,6,7,8,9,10; 1,2,3,9,10,11; 2,3,4,5,9,10,11; 1,2,5,6,9,10,11; 2,3,4,5,6,9,10,11; 2,3,4,6,7,9,10,11; 2,3,4,7,8,9,10,11; 1,3,4,5,9,10,12; 1,2,4,5,9,11,12; 2,3,4,10,11,12; 1,2,3,5,10,11,12; 3,4,5,6,10,11,12; 2,3,6,7,10,11,12; 3,4,5,6,7,10,11,12; 1,2,7,8,10,11,12; 3,4,5,7,8,10,11,12; 3,4,5,8,9,10,11,12; 29 => 1,3,4,5,9,10,11; 1,2,3,4,6,7,8,10,12; 1,2,4,5,6,7,9,10,12; 1,2,3,4,5,6,7,9,10,12; 1,2,3,5,6,7,8,9,10,12; 2,4,5,6,10,11,12; 1,3,6,7,10,11,12; 1,3,4,5,6,7,8,10,11,12; 1,3,4,6,7,8,9,10,11,12; 28 => 1,2,3,4,6,7,8,10,11; 1,2,4,5,6,7,9,10,11; 1,2,3,4,5,6,7,9,10,11; 1,2,3,5,6,7,8,9,10,11; 2,3,4,5,7,8,9,11,12; 1,4,5,6,10,11,12; 2,3,5,6,7,8,10,11,12; 2,3,4,5,6,7,8,10,11,12; 2,3,4,6,7,8,9,10,11,12; 27 => 1,2,4,5,8,9,12; 1,3,4,5,7,8,9,11,12; 1,3,5,6,7,8,10,11,12; 26 => 1,2,4,5,8,9,11; 1,2,3,8,9,12; 1,2,3,4,8,10,12; 1,3,4,9,10,12; 2,3,5,6,9,10,12; 1,2,6,7,9,10,12; 1,2,3,9,11,12; 1,2,4,10,11,12; 1,4,5,10,11,12; 25 => 1,2,4,5,8,9,10; 1,2,3,8,9,11; 1,2,3,4,8,10,11; 1,3,4,9,10,11; 2,3,5,6,9,10,11; 1,2,6,7,9,10,11; 1,2,3,4,5,8,10,12; 1,2,3,5,6,8,10,12; 1,2,3,6,7,8,10,12; 2,3,4,9,10,12; 1,3,5,6,9,10,12; 1,2,4,5,6,9,10,12; 1,2,4,6,7,9,10,12; 1,2,4,7,8,9,10,12; 2,3,4,5,9,11,12; 1,2,5,6,9,11,12; 1,3,4,5,6,9,11,12; 1,3,4,6,7,9,11,12; 1,3,4,7,8,9,11,12; 2,4,5,10,11,12; 1,2,4,6,10,11,12; 1,2,3,4,6,10,11,12; 1,2,3,5,7,10,11,12; 3,4,6,7,10,11,12; 1,3,5,6,7,10,11,12; 1,2,3,6,8,10,11,12; 2,3,7,8,10,11,12; 1,3,5,7,8,10,11,12; 1,2,3,7,9,10,11,12; 1,2,8,9,10,11,12; 1,3,5,8,9,10,11,12; 24 => 1,2,3,8,9,10; 1,2,3,4,5,8,10,11; 1,2,3,5,6,8,10,11; 1,2,3,6,7,8,10,11; 2,3,4,9,10,11; 1,3,5,6,9,10,11; 1,2,4,5,6,9,10,11; 1,2,4,6,7,9,10,11; 1,2,4,7,8,9,10,11; 1,3,4,5,9,11,12; 2,3,4,5,6,9,11,12; 2,3,4,6,7,9,11,12; 2,3,4,7,8,9,11,12; 3,4,5,10,11,12; 2,4,6,7,10,11,12; 2,3,5,6,7,10,11,12; 1,3,7,8,10,11,12; 2,3,5,7,8,10,11,12; 2,3,5,8,9,10,11,12; 23 => 1,2,3,4,7,8,12; 1,2,3,4,5,6,8,9,12; 1,4,6,7,10,11,12; 22 => 1,2,3,4,7,8,11; 1,2,3,4,5,6,8,9,11; 2,3,4,5,8,9,12; 1,2,5,6,8,9,12; 2,3,4,5,6,7,9,10,12; 21 => 1,2,3,4,7,8,10; 1,2,3,4,5,6,8,9,10; 2,3,4,5,8,9,11; 1,2,5,6,8,9,11; 2,3,4,5,6,7,9,10,11; 1,2,3,7,8,12; 1,3,4,8,9,12; 1,3,4,5,8,9,12; 1,2,3,8,10,12; 1,2,4,5,8,10,12; 1,2,4,9,10,12; 1,2,3,5,9,10,12; 1,4,5,9,10,12; 3,4,5,6,9,10,12; 2,3,6,7,9,10,12; 1,3,4,5,6,7,9,10,12; 1,2,7,8,9,10,12; 1,2,3,4,6,7,8,11,12; 1,3,4,9,11,12; 1,2,4,5,6,7,9,11,12; 1,2,10,11,12; 1,3,5,10,11,12; 1,5,6,10,11,12; 1,2,3,5,6,7,10,11,12; 1,2,3,4,6,8,10,11,12; 3,4,5,6,7,8,10,11,12; 1,2,4,6,8,9,10,11,12; 1,2,6,7,8,9,10,11,12; 20 => 1,2,3,4,7,8,9; 2,3,4,5,8,9,10; 1,2,5,6,8,9,10; 1,2,3,7,8,11; 1,3,4,8,9,11; 1,3,4,5,8,9,11; 1,2,3,8,10,11; 1,2,4,5,8,10,11; 1,2,4,9,10,11; 1,2,3,5,9,10,11; 1,4,5,9,10,11; 3,4,5,6,9,10,11; 2,3,6,7,9,10,11; 1,3,4,5,6,7,9,10,11; 1,2,7,8,9,10,11; 2,3,4,8,9,12; 2,4,5,9,10,12; 2,4,5,6,9,10,12; 1,3,6,7,9,10,12; 1,2,3,4,8,11,12; 2,3,4,9,11,12; 2,3,5,6,9,11,12; 1,2,6,7,9,11,12; 1,2,3,4,5,6,7,9,11,12; 1,2,3,5,6,7,8,9,11,12; 2,3,5,10,11,12; 2,3,4,6,10,11,12; 2,5,6,10,11,12; 1,2,5,7,10,11,12; 4,5,6,7,10,11,12; 3,4,7,8,10,11,12; 2,4,5,6,7,8,10,11,12; 1,2,4,5,6,7,8,10,11,12; 2,3,8,9,10,11,12; 1,2,4,6,7,8,9,10,11,12; 19 => 1,2,3,7,8,10; 1,3,4,8,9,10; 1,3,4,5,8,9,10; 2,3,4,8,9,11; 2,4,5,9,10,11; 2,4,5,6,9,10,11; 1,3,6,7,9,10,11; 1,2,9,10,12; 3,4,5,9,10,12; 1,4,5,6,9,10,12; 1,3,5,6,9,11,12; 1,3,4,6,10,11,12; 3,5,6,10,11,12; 3,5,6,7,10,11,12; 2,4,7,8,10,11,12; 1,4,5,6,7,8,10,11,12; 1,3,8,9,10,11,12; 18 => 1,2,3,7,8,9; 2,3,4,8,9,10; 1,2,9,10,11; 3,4,5,9,10,11; 1,4,5,6,9,10,11; 1,2,4,5,7,8,12; 1,2,3,4,5,7,8,12; 1,2,3,5,6,7,8,12; 1,3,4,5,6,8,9,12; 1,3,4,6,7,8,9,12; 1,4,5,6,7,9,10,12; 1,4,5,7,8,9,10,12; 1,2,3,4,5,8,11,12; 1,2,3,5,6,8,11,12; 1,2,3,6,7,8,11,12; 1,2,4,5,6,9,11,12; 1,2,4,6,7,9,11,12; 1,2,4,7,8,9,11,12; 2,3,10,11,12; 4,5,6,10,11,12; 2,5,6,7,10,11,12; 1,2,5,6,7,10,11,12; 1,4,7,8,10,11,12; 1,2,5,7,8,10,11,12; 1,5,6,7,8,10,11,12; 1,2,5,8,9,10,11,12; 1,5,6,8,9,10,11,12; 17 => 1,2,4,5,7,8,11; 1,2,3,4,5,7,8,11; 1,2,3,5,6,7,8,11; 1,3,4,5,6,8,9,11; 1,3,4,6,7,8,9,11; 1,4,5,6,7,9,10,11; 1,4,5,7,8,9,10,11; 1,2,3,4,7,9,12; 1,2,8,9,12; 2,3,5,6,8,9,12; 2,3,4,5,6,8,9,12; 1,2,6,7,8,9,12; 2,3,4,6,7,8,9,12; 2,4,5,6,7,9,10,12; 2,4,5,7,8,9,10,12; 1,3,10,11,12; 1,5,6,7,10,11,12; 2,5,6,7,8,10,11,12; 2,5,6,8,9,10,11,12; 16 => 1,2,4,5,7,8,10; 1,2,3,4,5,7,8,10; 1,2,3,5,6,7,8,10; 1,3,4,5,6,8,9,10; 1,3,4,6,7,8,9,10; 1,2,3,4,7,9,11; 1,2,8,9,11; 2,3,5,6,8,9,11; 2,3,4,5,6,8,9,11; 1,2,6,7,8,9,11; 2,3,4,6,7,8,9,11; 2,4,5,6,7,9,10,11; 2,4,5,7,8,9,10,11; 1,2,3,6,7,12; 1,3,4,7,8,12; 1,2,3,7,9,12; 1,2,4,8,9,12; 1,4,5,8,9,12; 1,3,5,6,8,9,12; 1,3,4,8,10,12; 2,3,4,5,8,10,12; 1,2,5,6,8,10,12; 2,3,9,10,12; 1,3,5,9,10,12; 1,2,4,6,9,10,12; 1,5,6,9,10,12; 3,4,6,7,9,10,12; 3,4,5,6,7,9,10,12; 2,3,7,8,9,10,12; 3,4,5,7,8,9,10,12; 1,2,3,8,11,12; 1,2,4,9,11,12; 1,4,5,9,11,12; 1,2,5,10,11,12; 1,4,6,10,11,12; 1,6,7,10,11,12; 3,5,6,7,8,10,11,12; 3,5,6,8,9,10,11,12; 15 => 1,2,4,5,7,8,9; 1,2,3,4,5,7,8,9; 1,2,3,5,6,7,8,9; 1,2,3,4,7,9,10; 1,2,8,9,10; 2,3,5,6,8,9,10; 2,3,4,5,6,8,9,10; 1,2,6,7,8,9,10; 2,3,4,6,7,8,9,10; 1,2,3,6,7,11; 1,3,4,7,8,11; 1,2,3,7,9,11; 1,2,4,8,9,11; 1,4,5,8,9,11; 1,3,5,6,8,9,11; 1,3,4,8,10,11; 2,3,4,5,8,10,11; 1,2,5,6,8,10,11; 2,3,9,10,11; 1,3,5,9,10,11; 1,2,4,6,9,10,11; 1,5,6,9,10,11; 3,4,6,7,9,10,11; 3,4,5,6,7,9,10,11; 2,3,7,8,9,10,11; 3,4,5,7,8,9,10,11; 1,2,7,8,12; 2,3,4,7,8,12; 2,4,5,8,9,12; 2,3,4,8,10,12; 1,3,4,5,8,10,12; 1,2,3,4,5,6,8,10,12; 1,3,9,10,12; 2,3,5,9,10,12; 2,5,6,9,10,12; 2,4,6,7,9,10,12; 1,3,7,8,9,10,12; 1,2,3,5,7,8,9,10,12; 1,2,5,6,7,8,9,10,12; 1,2,4,5,8,11,12; 1,2,9,11,12; 1,2,3,5,9,11,12; 2,4,5,9,11,12; 3,4,5,6,9,11,12; 2,3,6,7,9,11,12; 1,2,7,8,9,11,12; 3,4,10,11,12; 2,4,6,10,11,12; 2,3,5,7,10,11,12; 2,6,7,10,11,12; 1,2,6,8,10,11,12; 4,5,7,8,10,11,12; 4,5,6,7,8,10,11,12; 3,4,8,9,10,11,12; 4,5,6,8,9,10,11,12; 14 => 1,2,3,6,7,10; 1,3,4,7,8,10; 1,2,3,7,9,10; 1,2,4,8,9,10; 1,4,5,8,9,10; 1,3,5,6,8,9,10; 1,2,7,8,11; 2,3,4,7,8,11; 2,4,5,8,9,11; 2,3,4,8,10,11; 1,3,4,5,8,10,11; 1,2,3,4,5,6,8,10,11; 1,3,9,10,11; 2,3,5,9,10,11; 2,5,6,9,10,11; 2,4,6,7,9,10,11; 1,3,7,8,9,10,11; 1,2,3,5,7,8,9,10,11; 1,2,5,6,7,8,9,10,11; 1,2,3,4,6,7,12; 2,3,8,9,12; 3,4,5,8,9,12; 3,5,6,9,10,12; 1,4,6,7,9,10,12; 3,4,5,9,11,12; 2,4,5,6,9,11,12; 1,3,6,7,9,11,12; 2,3,4,5,6,7,9,11,12; 2,4,10,11,12; 3,4,6,10,11,12; 1,3,5,7,10,11,12; 3,6,7,10,11,12; 3,5,7,8,10,11,12; 1,2,3,4,5,7,9,10,11,12; 2,4,8,9,10,11,12; 2,3,4,6,8,9,10,11,12; 1,2,3,4,6,8,9,10,11,12; 2,3,6,7,8,9,10,11,12; 13 => 1,2,3,6,7,9; 1,3,4,7,8,9; 1,2,7,8,10; 2,3,4,7,8,10; 2,4,5,8,9,10; 1,2,3,4,6,7,11; 2,3,8,9,11; 3,4,5,8,9,11; 3,5,6,9,10,11; 1,4,6,7,9,10,11; 1,2,6,7,12; 2,3,4,5,7,8,12; 1,2,5,6,7,8,12; 1,3,8,9,12; 1,2,8,10,12; 3,4,9,10,12; 4,5,6,9,10,12; 1,4,5,6,9,11,12; 1,3,4,5,6,7,9,11,12; 1,4,10,11,12; 4,6,7,10,11,12; 2,5,7,8,10,11,12; 1,4,8,9,10,11,12; 1,3,4,6,8,9,10,11,12; 1,3,6,7,8,9,10,11,12; 12 => 1,2,3,6,7,8; 1,2,7,8,9; 2,3,4,7,8,9; 1,2,3,4,6,7,10; 2,3,8,9,10; 3,4,5,8,9,10; 1,2,6,7,11; 2,3,4,5,7,8,11; 1,2,5,6,7,8,11; 1,3,8,9,11; 1,2,8,10,11; 3,4,9,10,11; 4,5,6,9,10,11; 12; 2,3,7,8,12; 1,3,4,5,7,8,12; 1,2,4,5,7,9,12; 1,2,3,5,8,9,12; 3,4,5,6,8,9,12; 2,3,6,7,8,9,12; 2,4,9,10,12; 2,3,9,11,12; 4,5,10,11,12; 5,6,7,10,11,12; 1,5,7,8,10,11,12; 11 => 1,2,3,4,6,7,9; 1,2,6,7,10; 2,3,4,5,7,8,10; 1,2,5,6,7,8,10; 1,3,8,9,10; 11; 2,3,7,8,11; 1,3,4,5,7,8,11; 1,2,4,5,7,9,11; 1,2,3,5,8,9,11; 3,4,5,6,8,9,11; 2,3,6,7,8,9,11; 2,4,9,10,11; 1,12; 1,2,5,6,12; 1,2,3,5,6,12; 1,3,4,6,7,12; 1,2,3,6,8,12; 1,3,7,8,12; 1,2,4,7,8,12; 1,4,5,7,8,12; 1,2,7,9,12; 1,3,4,7,9,12; 1,2,3,4,5,7,9,12; 1,2,3,5,6,7,9,12; 3,4,8,9,12; 1,3,5,8,9,12; 1,5,6,8,9,12; 2,4,5,6,8,9,12; 1,2,4,5,6,8,9,12; 1,3,6,7,8,9,12; 1,2,4,6,7,8,9,12; 1,2,3,7,10,12; 1,2,3,4,7,10,12; 1,2,4,8,10,12; 1,4,5,8,10,12; 2,3,5,6,8,10,12; 1,3,4,5,6,8,10,12; 1,2,6,7,8,10,12; 1,3,4,6,7,8,10,12; 1,4,9,10,12; 1,2,5,9,10,12; 1,4,6,9,10,12; 2,3,4,6,9,10,12; 1,2,3,4,6,9,10,12; 1,2,5,7,9,10,12; 1,2,3,5,7,9,10,12; 1,6,7,9,10,12; 1,3,5,6,7,9,10,12; 4,5,6,7,9,10,12; 1,2,3,6,8,9,10,12; 3,4,7,8,9,10,12; 1,3,5,7,8,9,10,12; 1,3,4,8,11,12; 1,3,9,11,12; 1,3,5,9,11,12; 1,5,6,9,11,12; 1,4,5,6,7,9,11,12; 1,4,5,7,8,9,11,12; 3,5,10,11,12; 1,3,6,10,11,12; 1,5,7,10,11,12; 1,3,4,5,7,10,11,12; 1,3,4,6,8,10,11,12; 1,7,8,10,11,12; 1,4,6,7,8,10,11,12; 1,3,4,7,9,10,11,12; 1,4,6,8,9,10,11,12; 10 => 1,2,3,4,6,7,8; 1,2,6,7,9; 2,3,4,5,7,8,9; 1,2,5,6,7,8,9; 10; 2,3,7,8,10; 1,3,4,5,7,8,10; 1,2,4,5,7,9,10; 1,2,3,5,8,9,10; 3,4,5,6,8,9,10; 2,3,6,7,8,9,10; 1,11; 1,2,5,6,11; 1,2,3,5,6,11; 1,3,4,6,7,11; 1,2,3,6,8,11; 1,3,7,8,11; 1,2,4,7,8,11; 1,4,5,7,8,11; 1,2,7,9,11; 1,3,4,7,9,11; 1,2,3,4,5,7,9,11; 1,2,3,5,6,7,9,11; 3,4,8,9,11; 1,3,5,8,9,11; 1,5,6,8,9,11; 2,4,5,6,8,9,11; 1,2,4,5,6,8,9,11; 1,3,6,7,8,9,11; 1,2,4,6,7,8,9,11; 1,2,3,7,10,11; 1,2,3,4,7,10,11; 1,2,4,8,10,11; 1,4,5,8,10,11; 2,3,5,6,8,10,11; 1,3,4,5,6,8,10,11; 1,2,6,7,8,10,11; 1,3,4,6,7,8,10,11; 1,4,9,10,11; 1,2,5,9,10,11; 1,4,6,9,10,11; 2,3,4,6,9,10,11; 1,2,3,4,6,9,10,11; 1,2,5,7,9,10,11; 1,2,3,5,7,9,10,11; 1,6,7,9,10,11; 1,3,5,6,7,9,10,11; 4,5,6,7,9,10,11; 1,2,3,6,8,9,10,11; 3,4,7,8,9,10,11; 1,3,5,7,8,9,10,11; 2,12; 2,3,6,7,12; 2,3,4,6,7,12; 2,4,5,7,8,12; 2,3,4,7,9,12; 2,4,8,9,12; 2,3,5,8,9,12; 2,5,6,8,9,12; 1,4,5,6,8,9,12; 2,3,8,10,12; 2,4,5,8,10,12; 1,3,5,6,8,10,12; 2,3,4,5,6,8,10,12; 2,3,4,6,7,8,10,12; 4,5,9,10,12; 2,4,6,9,10,12; 1,3,4,6,9,10,12; 2,6,7,9,10,12; 3,5,6,7,9,10,12; 2,3,5,6,7,9,10,12; 2,4,7,8,9,10,12; 2,3,5,7,8,9,10,12; 2,3,4,8,11,12; 2,3,4,5,8,11,12; 1,2,5,6,8,11,12; 2,3,5,9,11,12; 1,2,4,6,9,11,12; 2,5,6,9,11,12; 3,4,6,7,9,11,12; 2,4,5,6,7,9,11,12; 2,3,7,8,9,11,12; 2,4,5,7,8,9,11,12; 2,5,10,11,12; 2,3,6,10,11,12; 1,2,3,6,10,11,12; 2,5,7,10,11,12; 3,4,5,7,10,11,12; 2,3,4,5,7,10,11,12; 2,3,6,8,10,11,12; 2,3,4,6,8,10,11,12; 2,7,8,10,11,12; 2,4,6,7,8,10,11,12; 5,6,7,8,10,11,12; 1,2,7,9,10,11,12; 2,3,4,7,9,10,11,12; 4,5,8,9,10,11,12; 2,4,6,8,9,10,11,12; 9 => 1,2,6,7,8; 9; 2,3,7,8,9; 1,3,4,5,7,8,9; 1,10; 1,2,5,6,10; 1,2,3,5,6,10; 1,3,4,6,7,10; 1,2,3,6,8,10; 1,3,7,8,10; 1,2,4,7,8,10; 1,4,5,7,8,10; 1,2,7,9,10; 1,3,4,7,9,10; 1,2,3,4,5,7,9,10; 1,2,3,5,6,7,9,10; 3,4,8,9,10; 1,3,5,8,9,10; 1,5,6,8,9,10; 2,4,5,6,8,9,10; 1,2,4,5,6,8,9,10; 1,3,6,7,8,9,10; 1,2,4,6,7,8,9,10; 2,11; 2,3,6,7,11; 2,3,4,6,7,11; 2,4,5,7,8,11; 2,3,4,7,9,11; 2,4,8,9,11; 2,3,5,8,9,11; 2,5,6,8,9,11; 1,4,5,6,8,9,11; 2,3,8,10,11; 2,4,5,8,10,11; 1,3,5,6,8,10,11; 2,3,4,5,6,8,10,11; 2,3,4,6,7,8,10,11; 4,5,9,10,11; 2,4,6,9,10,11; 1,3,4,6,9,10,11; 2,6,7,9,10,11; 3,5,6,7,9,10,11; 2,3,5,6,7,9,10,11; 2,4,7,8,9,10,11; 2,3,5,7,8,9,10,11; 1,2,12; 3,12; 1,2,4,5,12; 1,3,6,7,12; 1,2,4,5,6,7,12; 1,2,6,8,12; 3,4,7,8,12; 3,4,5,7,8,12; 1,4,8,9,12; 3,5,6,8,9,12; 1,2,4,5,6,7,8,9,12; 1,3,8,10,12; 3,4,5,8,10,12; 3,5,9,10,12; 3,4,6,9,10,12; 3,6,7,9,10,12; 2,5,6,7,9,10,12; 1,4,7,8,9,10,12; 1,2,8,11,12; 1,3,4,5,8,11,12; 3,4,9,11,12; 3,5,6,9,11,12; 2,4,6,7,9,11,12; 3,4,5,6,7,9,11,12; 1,3,7,8,9,11,12; 3,4,5,7,8,9,11,12; 1,5,10,11,12; 5,6,10,11,12; 3,5,7,10,11,12; 2,4,5,7,10,11,12; 1,3,6,8,10,11,12; 3,7,8,10,11,12; 4,6,7,8,10,11,12; 3,4,6,7,8,10,11,12; 3,5,8,9,10,11,12; 3,4,6,8,9,10,11,12; 1,2,4,5,6,7,8,9,10,11,12; 8 => 8; 1,9; 1,2,5,6,9; 1,2,3,5,6,9; 1,3,4,6,7,9; 1,2,3,6,8,9; 1,3,7,8,9; 1,2,4,7,8,9; 1,4,5,7,8,9; 2,10; 2,3,6,7,10; 2,3,4,6,7,10; 2,4,5,7,8,10; 2,3,4,7,9,10; 2,4,8,9,10; 2,3,5,8,9,10; 2,5,6,8,9,10; 1,4,5,6,8,9,10; 1,2,11; 3,11; 1,2,4,5,11; 1,3,6,7,11; 1,2,4,5,6,7,11; 1,2,6,8,11; 3,4,7,8,11; 3,4,5,7,8,11; 1,4,8,9,11; 3,5,6,8,9,11; 1,2,4,5,6,7,8,9,11; 1,3,8,10,11; 3,4,5,8,10,11; 3,5,9,10,11; 3,4,6,9,10,11; 3,6,7,9,10,11; 2,5,6,7,9,10,11; 1,4,7,8,9,10,11; 2,3,12; 1,2,3,12; 4,12; 1,3,4,12; 1,4,5,12; 1,5,6,12; 2,3,5,6,12; 1,6,7,12; 1,2,3,4,6,8,12; 1,7,8,12; 2,4,7,8,12; 2,3,5,6,7,8,12; 2,3,7,9,12; 1,8,9,12; 4,5,8,9,12; 4,5,6,8,9,12; 1,9,10,12; 2,5,9,10,12; 4,6,7,9,10,12; 1,5,6,7,9,10,12; 2,3,5,6,7,8,9,10,12; 2,4,9,11,12; 4,5,6,9,11,12; 1,4,6,7,9,11,12; 1,10,11,12; 4,6,10,11,12; 4,5,7,10,11,12; 1,4,5,7,10,11,12; 4,7,8,10,11,12; 3,6,7,8,10,11,12; 2,5,8,9,10,11,12; 7 => 7; 1,8; 1,2,5,6,8; 1,2,3,5,6,8; 1,3,4,6,7,8; 2,9; 2,3,6,7,9; 2,3,4,6,7,9; 2,4,5,7,8,9; 1,2,10; 3,10; 1,2,4,5,10; 1,3,6,7,10; 1,2,4,5,6,7,10; 1,2,6,8,10; 3,4,7,8,10; 3,4,5,7,8,10; 1,4,8,9,10; 3,5,6,8,9,10; 1,2,4,5,6,7,8,9,10; 2,3,11; 1,2,3,11; 4,11; 1,3,4,11; 1,4,5,11; 1,5,6,11; 2,3,5,6,11; 1,6,7,11; 1,2,3,4,6,8,11; 1,7,8,11; 2,4,7,8,11; 2,3,5,6,7,8,11; 2,3,7,9,11; 1,8,9,11; 4,5,8,9,11; 4,5,6,8,9,11; 1,9,10,11; 2,5,9,10,11; 4,6,7,9,10,11; 1,5,6,7,9,10,11; 2,3,5,6,7,8,9,10,11; 1,3,12; 3,4,12; 2,3,4,12; 1,2,3,4,12; 5,12; 2,4,5,12; 2,5,6,12; 1,3,5,6,12; 1,2,5,7,12; 2,6,7,12; 3,4,6,7,12; 2,7,8,12; 1,4,7,8,12; 1,3,5,6,7,8,12; 1,3,7,9,12; 2,3,4,5,7,9,12; 1,2,5,6,7,9,12; 2,8,9,12; 3,5,8,9,12; 1,2,4,6,8,9,12; 3,4,6,7,8,9,12; 1,2,7,10,12; 3,4,8,10,12; 2,9,10,12; 1,5,9,10,12; 5,6,9,10,12; 5,6,7,9,10,12; 1,3,5,6,7,8,9,10,12; 1,2,3,4,5,6,8,11,12; 1,4,9,11,12; 1,2,3,5,7,8,9,11,12; 1,2,5,6,7,8,9,11,12; 2,10,11,12; 3,6,10,11,12; 1,2,3,4,5,7,10,11,12; 5,7,8,10,11,12; 2,6,7,8,10,11,12; 1,2,4,6,7,8,10,11,12; 1,2,4,5,7,9,10,11,12; 1,5,8,9,10,11,12; 3,4,6,7,8,9,10,11,12; 6 => 6; 1,7; 1,2,5,6,7; 1,2,3,5,6,7; 2,8; 2,3,6,7,8; 2,3,4,6,7,8; 1,2,9; 3,9; 1,2,4,5,9; 1,3,6,7,9; 1,2,4,5,6,7,9; 1,2,6,8,9; 3,4,7,8,9; 3,4,5,7,8,9; 2,3,10; 1,2,3,10; 4,10; 1,3,4,10; 1,4,5,10; 1,5,6,10; 2,3,5,6,10; 1,6,7,10; 1,2,3,4,6,8,10; 1,7,8,10; 2,4,7,8,10; 2,3,5,6,7,8,10; 2,3,7,9,10; 1,8,9,10; 4,5,8,9,10; 4,5,6,8,9,10; 1,3,11; 3,4,11; 2,3,4,11; 1,2,3,4,11; 5,11; 2,4,5,11; 2,5,6,11; 1,3,5,6,11; 1,2,5,7,11; 2,6,7,11; 3,4,6,7,11; 2,7,8,11; 1,4,7,8,11; 1,3,5,6,7,8,11; 1,3,7,9,11; 2,3,4,5,7,9,11; 1,2,5,6,7,9,11; 2,8,9,11; 3,5,8,9,11; 1,2,4,6,8,9,11; 3,4,6,7,8,9,11; 1,2,7,10,11; 3,4,8,10,11; 2,9,10,11; 1,5,9,10,11; 5,6,9,10,11; 5,6,7,9,10,11; 1,3,5,6,7,8,9,10,11; 2,4,12; 4,5,12; 3,4,5,12; 2,3,4,5,12; 1,2,3,4,5,12; 6,12; 3,5,6,12; 1,3,4,5,6,12; 1,2,3,5,7,12; 3,6,7,12; 2,4,6,7,12; 1,2,4,6,7,12; 1,4,5,6,7,12; 2,3,6,8,12; 1,3,4,6,8,12; 3,7,8,12; 1,3,5,7,8,12; 4,5,7,8,12; 1,5,6,7,8,12; 1,2,3,6,9,12; 1,2,4,7,9,12; 1,4,5,7,9,12; 1,3,4,5,7,9,12; 3,8,9,12; 2,5,8,9,12; 1,2,5,8,9,12; 1,4,6,8,9,12; 1,6,7,8,9,12; 2,4,6,7,8,9,12; 1,3,4,7,10,12; 1,2,4,5,7,10,12; 2,4,8,10,12; 1,3,5,8,10,12; 1,2,3,5,8,10,12; 1,5,6,8,10,12; 3,4,5,6,8,10,12; 2,3,6,7,8,10,12; 3,9,10,12; 1,3,6,9,10,12; 4,6,9,10,12; 1,5,7,9,10,12; 2,3,5,7,9,10,12; 1,2,6,8,9,10,12; 1,7,8,9,10,12; 4,5,7,8,9,10,12; 1,2,3,7,11,12; 2,3,8,11,12; 1,2,4,8,11,12; 1,4,5,8,11,12; 1,2,5,9,11,12; 4,5,9,11,12; 1,4,6,9,11,12; 1,6,7,9,11,12; 3,10,11,12; 2,6,10,11,12; 1,2,6,10,11,12; 1,4,7,10,11,12; 6,7,10,11,12; 1,6,8,10,11,12; 6,7,8,10,11,12; 1,6,7,8,10,11,12; 1,8,9,10,11,12; 2,4,6,7,8,9,10,11,12; 5 => 5; 1,6; 2,7; 1,2,8; 3,8; 1,2,4,5,8; 1,3,6,7,8; 1,2,4,5,6,7,8; 2,3,9; 1,2,3,9; 4,9; 1,3,4,9; 1,4,5,9; 1,5,6,9; 2,3,5,6,9; 1,6,7,9; 1,2,3,4,6,8,9; 1,7,8,9; 2,4,7,8,9; 2,3,5,6,7,8,9; 1,3,10; 3,4,10; 2,3,4,10; 1,2,3,4,10; 5,10; 2,4,5,10; 2,5,6,10; 1,3,5,6,10; 1,2,5,7,10; 2,6,7,10; 3,4,6,7,10; 2,7,8,10; 1,4,7,8,10; 1,3,5,6,7,8,10; 1,3,7,9,10; 2,3,4,5,7,9,10; 1,2,5,6,7,9,10; 2,8,9,10; 3,5,8,9,10; 1,2,4,6,8,9,10; 3,4,6,7,8,9,10; 2,4,11; 4,5,11; 3,4,5,11; 2,3,4,5,11; 1,2,3,4,5,11; 6,11; 3,5,6,11; 1,3,4,5,6,11; 1,2,3,5,7,11; 3,6,7,11; 2,4,6,7,11; 1,2,4,6,7,11; 1,4,5,6,7,11; 2,3,6,8,11; 1,3,4,6,8,11; 3,7,8,11; 1,3,5,7,8,11; 4,5,7,8,11; 1,5,6,7,8,11; 1,2,3,6,9,11; 1,2,4,7,9,11; 1,4,5,7,9,11; 1,3,4,5,7,9,11; 3,8,9,11; 2,5,8,9,11; 1,2,5,8,9,11; 1,4,6,8,9,11; 1,6,7,8,9,11; 2,4,6,7,8,9,11; 1,3,4,7,10,11; 1,2,4,5,7,10,11; 2,4,8,10,11; 1,3,5,8,10,11; 1,2,3,5,8,10,11; 1,5,6,8,10,11; 3,4,5,6,8,10,11; 2,3,6,7,8,10,11; 3,9,10,11; 1,3,6,9,10,11; 4,6,9,10,11; 1,5,7,9,10,11; 2,3,5,7,9,10,11; 1,2,6,8,9,10,11; 1,7,8,9,10,11; 4,5,7,8,9,10,11; 1,4,12; 1,2,4,12; 3,5,12; 1,3,5,12; 1,3,4,5,12; 1,4,6,12; 1,2,4,6,12; 5,6,12; 4,5,6,12; 3,4,5,6,12; 2,3,4,5,6,12; 1,2,3,4,5,6,12; 7,12; 1,5,7,12; 4,6,7,12; 1,4,6,7,12; 2,4,5,6,7,12; 1,6,8,12; 1,3,6,8,12; 2,3,4,6,8,12; 4,7,8,12; 3,5,7,8,12; 2,3,5,7,8,12; 2,5,6,7,8,12; 1,2,6,9,12; 1,7,9,12; 3,4,7,9,12; 2,4,5,7,9,12; 4,8,9,12; 1,5,8,9,12; 2,4,6,8,9,12; 5,6,8,9,12; 2,6,7,8,9,12; 1,4,6,7,8,9,12; 2,3,4,7,10,12; 1,8,10,12; 1,4,8,10,12; 2,3,5,8,10,12; 2,5,6,8,10,12; 2,4,5,6,8,10,12; 1,3,6,7,8,10,12; 4,9,10,12; 3,6,9,10,12; 2,3,6,9,10,12; 2,5,7,9,10,12; 1,3,5,7,9,10,12; 2,7,8,9,10,12; 3,5,7,8,9,10,12; 1,2,3,4,7,11,12; 1,3,8,11,12; 2,4,5,8,11,12; 2,3,5,6,8,11,12; 1,2,6,7,8,11,12; 1,9,11,12; 3,5,9,11,12; 2,4,6,9,11,12; 2,3,4,6,9,11,12; 1,2,5,7,9,11,12; 2,6,7,9,11,12; 4,5,6,7,9,11,12; 3,4,7,8,9,11,12; 4,10,11,12; 1,6,10,11,12; 2,4,7,10,11,12; 1,2,4,7,10,11,12; 5,7,10,11,12; 2,6,8,10,11,12; 3,4,6,8,10,11,12; 2,3,7,9,10,11,12; 2,8,9,10,11,12; 5,6,8,9,10,11,12; 1,4,6,7,8,9,10,11,12; 4 => 4; 1,5; 2,6; 1,2,7; 3,7; 1,2,4,5,7; 2,3,8; 1,2,3,8; 4,8; 1,3,4,8; 1,4,5,8; 1,5,6,8; 2,3,5,6,8; 1,6,7,8; 1,3,9; 3,4,9; 2,3,4,9; 1,2,3,4,9; 5,9; 2,4,5,9; 2,5,6,9; 1,3,5,6,9; 1,2,5,7,9; 2,6,7,9; 3,4,6,7,9; 2,7,8,9; 1,4,7,8,9; 1,3,5,6,7,8,9; 2,4,10; 4,5,10; 3,4,5,10; 2,3,4,5,10; 1,2,3,4,5,10; 6,10; 3,5,6,10; 1,3,4,5,6,10; 1,2,3,5,7,10; 3,6,7,10; 2,4,6,7,10; 1,2,4,6,7,10; 1,4,5,6,7,10; 2,3,6,8,10; 1,3,4,6,8,10; 3,7,8,10; 1,3,5,7,8,10; 4,5,7,8,10; 1,5,6,7,8,10; 1,2,3,6,9,10; 1,2,4,7,9,10; 1,4,5,7,9,10; 1,3,4,5,7,9,10; 3,8,9,10; 2,5,8,9,10; 1,2,5,8,9,10; 1,4,6,8,9,10; 1,6,7,8,9,10; 2,4,6,7,8,9,10; 1,4,11; 1,2,4,11; 3,5,11; 1,3,5,11; 1,3,4,5,11; 1,4,6,11; 1,2,4,6,11; 5,6,11; 4,5,6,11; 3,4,5,6,11; 2,3,4,5,6,11; 1,2,3,4,5,6,11; 7,11; 1,5,7,11; 4,6,7,11; 1,4,6,7,11; 2,4,5,6,7,11; 1,6,8,11; 1,3,6,8,11; 2,3,4,6,8,11; 4,7,8,11; 3,5,7,8,11; 2,3,5,7,8,11; 2,5,6,7,8,11; 1,2,6,9,11; 1,7,9,11; 3,4,7,9,11; 2,4,5,7,9,11; 4,8,9,11; 1,5,8,9,11; 2,4,6,8,9,11; 5,6,8,9,11; 2,6,7,8,9,11; 1,4,6,7,8,9,11; 2,3,4,7,10,11; 1,8,10,11; 1,4,8,10,11; 2,3,5,8,10,11; 2,5,6,8,10,11; 2,4,5,6,8,10,11; 1,3,6,7,8,10,11; 4,9,10,11; 3,6,9,10,11; 2,3,6,9,10,11; 2,5,7,9,10,11; 1,3,5,7,9,10,11; 2,7,8,9,10,11; 3,5,7,8,9,10,11; 2,5,12; 2,3,5,12; 4,6,12; 2,4,6,12; 2,4,5,6,12; 2,5,7,12; 2,3,5,7,12; 6,7,12; 5,6,7,12; 4,5,6,7,12; 3,4,5,6,7,12; 2,3,4,5,6,7,12; 1,2,3,4,5,6,7,12; 8,12; 2,6,8,12; 5,7,8,12; 2,5,7,8,12; 3,5,6,7,8,12; 1,3,4,5,6,7,8,12; 2,7,9,12; 2,4,7,9,12; 3,4,5,7,9,12; 5,8,9,12; 4,6,8,9,12; 3,4,6,8,9,12; 3,6,7,8,9,12; 1,4,5,6,7,8,9,12; 2,3,7,10,12; 1,2,3,4,5,7,10,12; 1,2,3,5,6,7,10,12; 2,8,10,12; 4,5,8,10,12; 3,5,6,8,10,12; 1,4,5,6,8,10,12; 1,2,4,5,6,8,10,12; 1,2,4,6,7,8,10,12; 5,9,10,12; 2,6,9,10,12; 3,5,7,9,10,12; 6,7,9,10,12; 1,2,5,6,7,9,10,12; 3,7,8,9,10,12; 2,5,7,8,9,10,12; 1,2,5,7,8,9,10,12; 1,5,6,7,8,9,10,12; 3,4,5,8,11,12; 1,3,5,6,8,11,12; 1,3,4,5,6,8,11,12; 1,3,4,6,7,8,11,12; 2,9,11,12; 2,5,9,11,12; 3,4,6,9,11,12; 1,3,4,6,9,11,12; 1,2,3,4,6,9,11,12; 1,2,3,5,7,9,11,12; 3,6,7,9,11,12; 3,5,6,7,9,11,12; 1,3,5,6,7,9,11,12; 1,2,3,6,8,9,11,12; 2,4,7,8,9,11,12; 1,3,5,7,8,9,11,12; 5,10,11,12; 4,7,10,11,12; 3,4,7,10,11,12; 1,2,4,5,7,10,11,12; 3,6,8,10,11,12; 2,4,6,8,10,11,12; 1,2,4,6,8,10,11,12; 1,3,6,7,8,10,11,12; 1,3,7,9,10,11,12; 1,2,4,7,9,10,11,12; 3,8,9,10,11,12; 1,3,6,8,9,10,11,12; 4,6,8,9,10,11,12; 1,6,7,8,9,10,11,12; 3 => 3; 1,4; 2,5; 1,2,6; 3,6; 1,2,4,5,6; 2,3,7; 1,2,3,7; 4,7; 1,3,4,7; 1,4,5,7; 1,5,6,7; 2,3,5,6,7; 1,3,8; 3,4,8; 2,3,4,8; 1,2,3,4,8; 5,8; 2,4,5,8; 2,5,6,8; 1,3,5,6,8; 1,2,5,7,8; 2,6,7,8; 3,4,6,7,8; 2,4,9; 4,5,9; 3,4,5,9; 2,3,4,5,9; 1,2,3,4,5,9; 6,9; 3,5,6,9; 1,3,4,5,6,9; 1,2,3,5,7,9; 3,6,7,9; 2,4,6,7,9; 1,2,4,6,7,9; 1,4,5,6,7,9; 2,3,6,8,9; 1,3,4,6,8,9; 3,7,8,9; 1,3,5,7,8,9; 4,5,7,8,9; 1,5,6,7,8,9; 1,4,10; 1,2,4,10; 3,5,10; 1,3,5,10; 1,3,4,5,10; 1,4,6,10; 1,2,4,6,10; 5,6,10; 4,5,6,10; 3,4,5,6,10; 2,3,4,5,6,10; 1,2,3,4,5,6,10; 7,10; 1,5,7,10; 4,6,7,10; 1,4,6,7,10; 2,4,5,6,7,10; 1,6,8,10; 1,3,6,8,10; 2,3,4,6,8,10; 4,7,8,10; 3,5,7,8,10; 2,3,5,7,8,10; 2,5,6,7,8,10; 1,2,6,9,10; 1,7,9,10; 3,4,7,9,10; 2,4,5,7,9,10; 4,8,9,10; 1,5,8,9,10; 2,4,6,8,9,10; 5,6,8,9,10; 2,6,7,8,9,10; 1,4,6,7,8,9,10; 2,5,11; 2,3,5,11; 4,6,11; 2,4,6,11; 2,4,5,6,11; 2,5,7,11; 2,3,5,7,11; 6,7,11; 5,6,7,11; 4,5,6,7,11; 3,4,5,6,7,11; 2,3,4,5,6,7,11; 1,2,3,4,5,6,7,11; 8,11; 2,6,8,11; 5,7,8,11; 2,5,7,8,11; 3,5,6,7,8,11; 1,3,4,5,6,7,8,11; 2,7,9,11; 2,4,7,9,11; 3,4,5,7,9,11; 5,8,9,11; 4,6,8,9,11; 3,4,6,8,9,11; 3,6,7,8,9,11; 1,4,5,6,7,8,9,11; 2,3,7,10,11; 1,2,3,4,5,7,10,11; 1,2,3,5,6,7,10,11; 2,8,10,11; 4,5,8,10,11; 3,5,6,8,10,11; 1,4,5,6,8,10,11; 1,2,4,5,6,8,10,11; 1,2,4,6,7,8,10,11; 5,9,10,11; 2,6,9,10,11; 3,5,7,9,10,11; 6,7,9,10,11; 1,2,5,6,7,9,10,11; 3,7,8,9,10,11; 2,5,7,8,9,10,11; 1,2,5,7,8,9,10,11; 1,5,6,7,8,9,10,11; 1,5,12; 1,2,3,5,12; 3,6,12; 3,4,6,12; 1,4,5,6,12; 5,7,12; 3,5,7,12; 1,3,5,7,12; 3,5,6,7,12; 1,3,4,5,6,7,12; 1,2,5,8,12; 3,6,8,12; 3,4,6,8,12; 1,2,4,5,6,8,12; 7,8,12; 1,5,7,8,12; 1,2,3,5,7,8,12; 6,7,8,12; 5,6,7,8,12; 4,5,6,7,8,12; 3,4,5,6,7,8,12; 2,3,4,5,6,7,8,12; 1,2,3,4,5,6,7,8,12; 9,12; 3,7,9,12; 1,4,7,9,12; 6,8,9,12; 3,6,8,9,12; 4,6,7,8,9,12; 2,4,5,6,7,8,9,12; 1,3,7,10,12; 3,8,10,12; 3,5,8,10,12; 4,5,6,8,10,12; 6,9,10,12; 1,6,9,10,12; 5,7,9,10,12; 4,5,7,9,10,12; 4,7,8,9,10,12; 1,5,7,8,9,10,12; 2,5,6,7,8,9,10,12; 1,2,7,11,12; 3,4,8,11,12; 2,3,4,5,6,8,11,12; 2,3,4,6,7,8,11,12; 3,9,11,12; 1,5,9,11,12; 5,6,9,11,12; 4,6,7,9,11,12; 2,5,6,7,9,11,12; 2,3,5,6,7,9,11,12; 1,4,7,8,9,11,12; 2,3,5,7,8,9,11,12; 6,10,11,12; 3,7,10,11,12; 4,6,8,10,11,12; 1,4,6,8,10,11,12; 7,8,10,11,12; 2,3,6,7,8,10,11,12; 4,8,9,10,11,12; 3,6,8,9,10,11,12; 2,3,6,8,9,10,11,12; 2,6,7,8,9,10,11,12; 2 => 2; 1,3; 2,4; 1,2,5; 3,5; 2,3,6; 1,2,3,6; 4,6; 1,3,4,6; 1,4,5,6; 1,3,7; 3,4,7; 2,3,4,7; 1,2,3,4,7; 5,7; 2,4,5,7; 2,5,6,7; 1,3,5,6,7; 2,4,8; 4,5,8; 3,4,5,8; 2,3,4,5,8; 1,2,3,4,5,8; 6,8; 3,5,6,8; 1,3,4,5,6,8; 1,2,3,5,7,8; 3,6,7,8; 2,4,6,7,8; 1,2,4,6,7,8; 1,4,5,6,7,8; 1,4,9; 1,2,4,9; 3,5,9; 1,3,5,9; 1,3,4,5,9; 1,4,6,9; 1,2,4,6,9; 5,6,9; 4,5,6,9; 3,4,5,6,9; 2,3,4,5,6,9; 1,2,3,4,5,6,9; 7,9; 1,5,7,9; 4,6,7,9; 1,4,6,7,9; 2,4,5,6,7,9; 1,6,8,9; 1,3,6,8,9; 2,3,4,6,8,9; 4,7,8,9; 3,5,7,8,9; 2,3,5,7,8,9; 2,5,6,7,8,9; 2,5,10; 2,3,5,10; 4,6,10; 2,4,6,10; 2,4,5,6,10; 2,5,7,10; 2,3,5,7,10; 6,7,10; 5,6,7,10; 4,5,6,7,10; 3,4,5,6,7,10; 2,3,4,5,6,7,10; 1,2,3,4,5,6,7,10; 8,10; 2,6,8,10; 5,7,8,10; 2,5,7,8,10; 3,5,6,7,8,10; 1,3,4,5,6,7,8,10; 2,7,9,10; 2,4,7,9,10; 3,4,5,7,9,10; 5,8,9,10; 4,6,8,9,10; 3,4,6,8,9,10; 3,6,7,8,9,10; 1,4,5,6,7,8,9,10; 1,5,11; 1,2,3,5,11; 3,6,11; 3,4,6,11; 1,4,5,6,11; 5,7,11; 3,5,7,11; 1,3,5,7,11; 3,5,6,7,11; 1,3,4,5,6,7,11; 1,2,5,8,11; 3,6,8,11; 3,4,6,8,11; 1,2,4,5,6,8,11; 7,8,11; 1,5,7,8,11; 1,2,3,5,7,8,11; 6,7,8,11; 5,6,7,8,11; 4,5,6,7,8,11; 3,4,5,6,7,8,11; 2,3,4,5,6,7,8,11; 1,2,3,4,5,6,7,8,11; 9,11; 3,7,9,11; 1,4,7,9,11; 6,8,9,11; 3,6,8,9,11; 4,6,7,8,9,11; 2,4,5,6,7,8,9,11; 1,3,7,10,11; 3,8,10,11; 3,5,8,10,11; 4,5,6,8,10,11; 6,9,10,11; 1,6,9,10,11; 5,7,9,10,11; 4,5,7,9,10,11; 4,7,8,9,10,11; 1,5,7,8,9,10,11; 2,5,6,7,8,9,10,11; 1,2,5,12; 2,6,12; 1,3,6,12; 2,3,4,6,12; 4,7,12; 1,4,7,12; 4,5,7,12; 2,5,6,7,12; 1,5,8,12; 6,8,12; 4,6,8,12; 2,4,6,8,12; 4,6,7,8,12; 2,4,5,6,7,8,12; 1,6,9,12; 2,3,6,9,12; 1,2,3,4,6,9,12; 4,7,9,12; 4,5,7,9,12; 2,3,5,6,7,9,12; 8,9,12; 2,6,8,9,12; 2,3,4,6,8,9,12; 7,8,9,12; 1,2,5,7,8,9,12; 6,7,8,9,12; 5,6,7,8,9,12; 4,5,6,7,8,9,12; 3,4,5,6,7,8,9,12; 2,3,4,5,6,7,8,9,12; 1,2,3,4,5,6,7,8,9,12; 10,12; 1,7,10,12; 4,8,10,12; 2,5,8,10,12; 7,9,10,12; 4,7,9,10,12; 5,7,8,9,10,12; 3,5,6,7,8,9,10,12; 1,3,4,5,6,7,8,9,10,12; 1,8,11,12; 2,4,8,11,12; 4,9,11,12; 4,6,9,11,12; 5,6,7,9,11,12; 1,5,6,7,9,11,12; 7,10,11,12; 2,7,10,11,12; 6,8,10,11,12; 5,6,8,10,11,12; 5,8,9,10,11,12; 2,6,8,9,10,11,12; 3,6,7,8,9,10,11,12; 1,4,5,6,7,8,9,10,11,12; 1 => 1; 1,2; 2,3; 1,2,4; 3,4; 2,3,5; 1,2,3,5; 4,5; 1,3,4,5; 1,3,6; 3,4,6; 2,3,4,6; 1,2,3,4,6; 5,6; 2,4,5,6; 2,4,7; 4,5,7; 3,4,5,7; 2,3,4,5,7; 1,2,3,4,5,7; 6,7; 3,5,6,7; 1,3,4,5,6,7; 1,4,8; 1,2,4,8; 3,5,8; 1,3,5,8; 1,3,4,5,8; 1,4,6,8; 1,2,4,6,8; 5,6,8; 4,5,6,8; 3,4,5,6,8; 2,3,4,5,6,8; 1,2,3,4,5,6,8; 7,8; 1,5,7,8; 4,6,7,8; 1,4,6,7,8; 2,4,5,6,7,8; 2,5,9; 2,3,5,9; 4,6,9; 2,4,6,9; 2,4,5,6,9; 2,5,7,9; 2,3,5,7,9; 6,7,9; 5,6,7,9; 4,5,6,7,9; 3,4,5,6,7,9; 2,3,4,5,6,7,9; 1,2,3,4,5,6,7,9; 8,9; 2,6,8,9; 5,7,8,9; 2,5,7,8,9; 3,5,6,7,8,9; 1,3,4,5,6,7,8,9; 1,5,10; 1,2,3,5,10; 3,6,10; 3,4,6,10; 1,4,5,6,10; 5,7,10; 3,5,7,10; 1,3,5,7,10; 3,5,6,7,10; 1,3,4,5,6,7,10; 1,2,5,8,10; 3,6,8,10; 3,4,6,8,10; 1,2,4,5,6,8,10; 7,8,10; 1,5,7,8,10; 1,2,3,5,7,8,10; 6,7,8,10; 5,6,7,8,10; 4,5,6,7,8,10; 3,4,5,6,7,8,10; 2,3,4,5,6,7,8,10; 1,2,3,4,5,6,7,8,10; 9,10; 3,7,9,10; 1,4,7,9,10; 6,8,9,10; 3,6,8,9,10; 4,6,7,8,9,10; 2,4,5,6,7,8,9,10; 1,2,5,11; 2,6,11; 1,3,6,11; 2,3,4,6,11; 4,7,11; 1,4,7,11; 4,5,7,11; 2,5,6,7,11; 1,5,8,11; 6,8,11; 4,6,8,11; 2,4,6,8,11; 4,6,7,8,11; 2,4,5,6,7,8,11; 1,6,9,11; 2,3,6,9,11; 1,2,3,4,6,9,11; 4,7,9,11; 4,5,7,9,11; 2,3,5,6,7,9,11; 8,9,11; 2,6,8,9,11; 2,3,4,6,8,9,11; 7,8,9,11; 1,2,5,7,8,9,11; 6,7,8,9,11; 5,6,7,8,9,11; 4,5,6,7,8,9,11; 3,4,5,6,7,8,9,11; 2,3,4,5,6,7,8,9,11; 1,2,3,4,5,6,7,8,9,11; 10,11; 1,7,10,11; 4,8,10,11; 2,5,8,10,11; 7,9,10,11; 4,7,9,10,11; 5,7,8,9,10,11; 3,5,6,7,8,9,10,11; 1,3,4,5,6,7,8,9,10,11; 1,6,12; 2,3,6,12; 1,3,4,6,12; 1,2,3,4,6,12; 1,2,4,5,6,12; 3,7,12; 2,4,7,12; 1,2,4,7,12; 3,4,5,7,12; 1,3,4,5,7,12; 1,5,6,7,12; 1,3,5,6,7,12; 5,8,12; 2,5,8,12; 1,2,3,5,8,12; 1,4,6,8,12; 1,2,4,6,8,12; 5,6,8,12; 1,4,5,6,8,12; 1,2,5,7,8,12; 3,6,7,8,12; 1,4,6,7,8,12; 1,4,5,6,7,8,12; 2,6,9,12; 1,3,6,9,12; 1,3,4,6,9,12; 7,9,12; 5,7,9,12; 3,5,7,9,12; 1,3,5,7,9,12; 1,5,6,7,9,12; 1,3,5,6,7,9,12; 1,6,8,9,12; 1,3,6,8,9,12; 1,3,4,6,8,9,12; 5,7,8,9,12; 1,5,7,8,9,12; 3,5,6,7,8,9,12; 1,3,4,5,6,7,8,9,12; 1,2,6,10,12; 1,2,3,6,10,12; 2,7,10,12; 1,2,4,7,10,12; 3,4,7,10,12; 1,4,5,7,10,12; 2,3,4,5,7,10,12; 1,2,5,6,7,10,12; 5,8,10,12; 1,5,8,10,12; 1,2,5,8,10,12; 1,4,6,8,10,12; 1,2,4,6,8,10,12; 5,6,8,10,12; 1,6,7,8,10,12; 3,4,6,7,8,10,12; 1,2,4,5,6,7,8,10,12; 9,10,12; 1,2,6,9,10,12; 1,2,3,6,9,10,12; 3,7,9,10,12; 1,4,7,9,10,12; 3,4,5,7,9,10,12; 1,2,3,5,6,7,9,10,12; 8,9,10,12; 1,6,8,9,10,12; 2,3,6,8,9,10,12; 1,2,3,4,6,8,9,10,12; 7,8,9,10,12; 6,7,8,9,10,12; 5,6,7,8,9,10,12; 4,5,6,7,8,9,10,12; 3,4,5,6,7,8,9,10,12; 2,3,4,5,6,7,8,9,10,12; 1,2,3,4,5,6,7,8,9,10,12; 11,12; 1,3,4,7,11,12; 2,8,11,12; 1,4,8,11,12; 1,3,5,8,11,12; 1,5,6,8,11,12; 5,9,11,12; 3,6,9,11,12; 1,3,6,9,11,12; 1,5,7,9,11,12; 1,7,8,9,11,12; 1,7,10,11,12; 1,3,7,10,11,12; 8,10,11,12; 5,8,10,11,12; 1,5,8,10,11,12; 1,7,9,10,11,12; 6,8,9,10,11,12; 1,6,8,9,10,11,12; 4,6,7,8,9,10,11,12; 2,4,5,6,7,8,9,10,11,12; 0 => 1,2,3; 2,3,4; 1,2,3,4; 1,3,5; 3,4,5; 2,3,4,5; 1,2,3,4,5; 2,4,6; 4,5,6; 3,4,5,6; 2,3,4,5,6; 1,2,3,4,5,6; 1,4,7; 1,2,4,7; 3,5,7; 1,3,5,7; 1,3,4,5,7; 1,4,6,7; 1,2,4,6,7; 5,6,7; 4,5,6,7; 3,4,5,6,7; 2,3,4,5,6,7; 1,2,3,4,5,6,7; 2,5,8; 2,3,5,8; 4,6,8; 2,4,6,8; 2,4,5,6,8; 2,5,7,8; 2,3,5,7,8; 6,7,8; 5,6,7,8; 4,5,6,7,8; 3,4,5,6,7,8; 2,3,4,5,6,7,8; 1,2,3,4,5,6,7,8; 1,5,9; 1,2,3,5,9; 3,6,9; 3,4,6,9; 1,4,5,6,9; 5,7,9; 3,5,7,9; 1,3,5,7,9; 3,5,6,7,9; 1,3,4,5,6,7,9; 1,2,5,8,9; 3,6,8,9; 3,4,6,8,9; 1,2,4,5,6,8,9; 7,8,9; 1,5,7,8,9; 1,2,3,5,7,8,9; 6,7,8,9; 5,6,7,8,9; 4,5,6,7,8,9; 3,4,5,6,7,8,9; 2,3,4,5,6,7,8,9; 1,2,3,4,5,6,7,8,9; 1,2,5,10; 2,6,10; 1,3,6,10; 2,3,4,6,10; 4,7,10; 1,4,7,10; 4,5,7,10; 2,5,6,7,10; 1,5,8,10; 6,8,10; 4,6,8,10; 2,4,6,8,10; 4,6,7,8,10; 2,4,5,6,7,8,10; 1,6,9,10; 2,3,6,9,10; 1,2,3,4,6,9,10; 4,7,9,10; 4,5,7,9,10; 2,3,5,6,7,9,10; 8,9,10; 2,6,8,9,10; 2,3,4,6,8,9,10; 7,8,9,10; 1,2,5,7,8,9,10; 6,7,8,9,10; 5,6,7,8,9,10; 4,5,6,7,8,9,10; 3,4,5,6,7,8,9,10; 2,3,4,5,6,7,8,9,10; 1,2,3,4,5,6,7,8,9,10; 1,6,11; 2,3,6,11; 1,3,4,6,11; 1,2,3,4,6,11; 1,2,4,5,6,11; 3,7,11; 2,4,7,11; 1,2,4,7,11; 3,4,5,7,11; 1,3,4,5,7,11; 1,5,6,7,11; 1,3,5,6,7,11; 5,8,11; 2,5,8,11; 1,2,3,5,8,11; 1,4,6,8,11; 1,2,4,6,8,11; 5,6,8,11; 1,4,5,6,8,11; 1,2,5,7,8,11; 3,6,7,8,11; 1,4,6,7,8,11; 1,4,5,6,7,8,11; 2,6,9,11; 1,3,6,9,11; 1,3,4,6,9,11; 7,9,11; 5,7,9,11; 3,5,7,9,11; 1,3,5,7,9,11; 1,5,6,7,9,11; 1,3,5,6,7,9,11; 1,6,8,9,11; 1,3,6,8,9,11; 1,3,4,6,8,9,11; 5,7,8,9,11; 1,5,7,8,9,11; 3,5,6,7,8,9,11; 1,3,4,5,6,7,8,9,11; 1,2,6,10,11; 1,2,3,6,10,11; 2,7,10,11; 1,2,4,7,10,11; 3,4,7,10,11; 1,4,5,7,10,11; 2,3,4,5,7,10,11; 1,2,5,6,7,10,11; 5,8,10,11; 1,5,8,10,11; 1,2,5,8,10,11; 1,4,6,8,10,11; 1,2,4,6,8,10,11; 5,6,8,10,11; 1,6,7,8,10,11; 3,4,6,7,8,10,11; 1,2,4,5,6,7,8,10,11; 9,10,11; 1,2,6,9,10,11; 1,2,3,6,9,10,11; 3,7,9,10,11; 1,4,7,9,10,11; 3,4,5,7,9,10,11; 1,2,3,5,6,7,9,10,11; 8,9,10,11; 1,6,8,9,10,11; 2,3,6,8,9,10,11; 1,2,3,4,6,8,9,10,11; 7,8,9,10,11; 6,7,8,9,10,11; 5,6,7,8,9,10,11; 4,5,6,7,8,9,10,11; 3,4,5,6,7,8,9,10,11; 2,3,4,5,6,7,8,9,10,11; 1,2,3,4,5,6,7,8,9,10,11; 2,7,12; 3,4,7,12; 2,4,5,7,12; 2,3,4,5,7,12; 2,3,5,6,7,12; 4,8,12; 3,5,8,12; 2,3,5,8,12; 4,5,6,8,12; 2,4,5,6,8,12; 2,6,7,8,12; 2,4,6,7,8,12; 6,9,12; 3,6,9,12; 2,3,4,6,9,12; 2,5,7,9,12; 2,3,5,7,9,12; 6,7,9,12; 2,5,6,7,9,12; 2,3,6,8,9,12; 4,7,8,9,12; 2,5,7,8,9,12; 2,5,6,7,8,9,12; 3,7,10,12; 2,4,7,10,12; 2,4,5,7,10,12; 1,3,4,5,7,10,12; 8,10,12; 6,8,10,12; 4,6,8,10,12; 2,4,6,8,10,12; 2,6,7,8,10,12; 2,4,6,7,8,10,12; 2,7,9,10,12; 2,4,7,9,10,12; 2,4,5,7,9,10,12; 6,8,9,10,12; 2,6,8,9,10,12; 1,3,6,8,9,10,12; 4,6,7,8,9,10,12; 2,4,5,6,7,8,9,10,12; 2,3,7,11,12; 2,3,4,7,11,12; 1,2,4,5,7,11,12; 3,8,11,12; 2,3,5,8,11,12; 1,2,3,5,8,11,12; 4,5,8,11,12; 2,5,6,8,11,12; 3,4,5,6,8,11,12; 2,3,6,7,8,11,12; 6,9,11,12; 2,6,9,11,12; 2,3,6,9,11,12; 2,5,7,9,11,12; 2,3,5,7,9,11,12; 6,7,9,11,12; 1,2,6,8,9,11,12; 2,7,8,9,11,12; 4,5,7,8,9,11,12; 2,3,5,6,7,8,9,11,12; 10,11,12; 2,3,7,10,11,12; 2,3,4,7,10,11,12; 4,8,10,11,12; 2,5,8,10,11,12; 1,2,5,8,10,11,12; 4,5,6,8,10,11,12; 2,3,4,6,7,8,10,11,12; 9,10,11,12; 2,7,9,10,11,12; 3,4,7,9,10,11,12; 2,3,4,5,7,9,10,11,12; 8,9,10,11,12; 7,8,9,10,11,12; 6,7,8,9,10,11,12; 5,6,7,8,9,10,11,12; 4,5,6,7,8,9,10,11,12; 3,4,5,6,7,8,9,10,11,12; 2,3,4,5,6,7,8,9,10,11,12; 1,2,3,4,5,6,7,8,9,10,11,12; -1 => 1,3,4; 2,4,5; 1,4,6; 1,2,4,6; 3,5,6; 1,3,5,6; 1,3,4,5,6; 2,5,7; 2,3,5,7; 4,6,7; 2,4,6,7; 2,4,5,6,7; 1,5,8; 1,2,3,5,8; 3,6,8; 3,4,6,8; 1,4,5,6,8; 5,7,8; 3,5,7,8; 1,3,5,7,8; 3,5,6,7,8; 1,3,4,5,6,7,8; 1,2,5,9; 2,6,9; 1,3,6,9; 2,3,4,6,9; 4,7,9; 1,4,7,9; 4,5,7,9; 2,5,6,7,9; 1,5,8,9; 6,8,9; 4,6,8,9; 2,4,6,8,9; 4,6,7,8,9; 2,4,5,6,7,8,9; 1,6,10; 2,3,6,10; 1,3,4,6,10; 1,2,3,4,6,10; 1,2,4,5,6,10; 3,7,10; 2,4,7,10; 1,2,4,7,10; 3,4,5,7,10; 1,3,4,5,7,10; 1,5,6,7,10; 1,3,5,6,7,10; 5,8,10; 2,5,8,10; 1,2,3,5,8,10; 1,4,6,8,10; 1,2,4,6,8,10; 5,6,8,10; 1,4,5,6,8,10; 1,2,5,7,8,10; 3,6,7,8,10; 1,4,6,7,8,10; 1,4,5,6,7,8,10; 2,6,9,10; 1,3,6,9,10; 1,3,4,6,9,10; 7,9,10; 5,7,9,10; 3,5,7,9,10; 1,3,5,7,9,10; 1,5,6,7,9,10; 1,3,5,6,7,9,10; 1,6,8,9,10; 1,3,6,8,9,10; 1,3,4,6,8,9,10; 5,7,8,9,10; 1,5,7,8,9,10; 3,5,6,7,8,9,10; 1,3,4,5,6,7,8,9,10; 2,7,11; 3,4,7,11; 2,4,5,7,11; 2,3,4,5,7,11; 2,3,5,6,7,11; 4,8,11; 3,5,8,11; 2,3,5,8,11; 4,5,6,8,11; 2,4,5,6,8,11; 2,6,7,8,11; 2,4,6,7,8,11; 6,9,11; 3,6,9,11; 2,3,4,6,9,11; 2,5,7,9,11; 2,3,5,7,9,11; 6,7,9,11; 2,5,6,7,9,11; 2,3,6,8,9,11; 4,7,8,9,11; 2,5,7,8,9,11; 2,5,6,7,8,9,11; 3,7,10,11; 2,4,7,10,11; 2,4,5,7,10,11; 1,3,4,5,7,10,11; 8,10,11; 6,8,10,11; 4,6,8,10,11; 2,4,6,8,10,11; 2,6,7,8,10,11; 2,4,6,7,8,10,11; 2,7,9,10,11; 2,4,7,9,10,11; 2,4,5,7,9,10,11; 6,8,9,10,11; 2,6,8,9,10,11; 1,3,6,8,9,10,11; 4,6,7,8,9,10,11; 2,4,5,6,7,8,9,10,11; 1,2,6,12; 1,2,3,6,12; 1,7,12; 1,3,7,12; 1,4,5,7,12; 1,2,3,4,5,7,12; 3,8,12; 1,4,8,12; 1,3,5,8,12; 4,5,8,12; 3,5,6,8,12; 3,4,5,6,8,12; 1,6,7,8,12; 3,4,6,7,8,12; 5,9,12; 1,5,9,12; 1,2,5,9,12; 4,6,9,12; 3,4,6,9,12; 1,5,7,9,12; 5,6,7,9,12; 3,5,6,7,9,12; 3,7,8,9,12; 3,5,7,8,9,12; 1,5,6,7,8,9,12; 1,6,10,12; 7,10,12; 4,7,10,12; 1,4,7,10,12; 3,4,5,7,10,12; 3,6,8,10,12; 3,4,6,8,10,12; 7,8,10,12; 3,6,7,8,10,12; 1,4,6,7,8,10,12; 1,7,9,10,12; 3,4,7,9,10,12; 1,4,5,7,9,10,12; 5,8,9,10,12; 3,6,8,9,10,12; 3,6,7,8,9,10,12; 1,4,5,6,7,8,9,10,12; 1,7,11,12; 1,3,7,11,12; 4,8,11,12; 3,5,8,11,12; 3,5,6,8,11,12; 2,4,5,6,8,11,12; 1,3,6,7,8,11,12; 9,11,12; 1,6,9,11,12; 7,9,11,12; 5,7,9,11,12; 3,5,7,9,11,12; 1,3,5,7,9,11,12; 3,7,8,9,11,12; 3,5,7,8,9,11,12; 1,3,5,6,7,8,9,11,12; 1,3,4,7,10,11,12; 3,8,10,11,12; 3,5,8,10,11,12; 3,5,6,8,10,11,12; 1,3,4,6,7,8,10,11,12; 7,9,10,11,12; 3,7,9,10,11,12; 2,4,7,9,10,11,12; 1,3,4,5,7,9,10,11,12; 5,7,8,9,10,11,12; 3,5,6,7,8,9,10,11,12; 1,3,4,5,6,7,8,9,10,11,12; -2 => 1,4,5; 1,2,4,5; 2,5,6; 2,3,5,6; 1,5,7; 1,2,3,5,7; 3,6,7; 3,4,6,7; 1,4,5,6,7; 1,2,5,8; 2,6,8; 1,3,6,8; 2,3,4,6,8; 4,7,8; 1,4,7,8; 4,5,7,8; 2,5,6,7,8; 1,6,9; 2,3,6,9; 1,3,4,6,9; 1,2,3,4,6,9; 1,2,4,5,6,9; 3,7,9; 2,4,7,9; 1,2,4,7,9; 3,4,5,7,9; 1,3,4,5,7,9; 1,5,6,7,9; 1,3,5,6,7,9; 5,8,9; 2,5,8,9; 1,2,3,5,8,9; 1,4,6,8,9; 1,2,4,6,8,9; 5,6,8,9; 1,4,5,6,8,9; 1,2,5,7,8,9; 3,6,7,8,9; 1,4,6,7,8,9; 1,4,5,6,7,8,9; 2,7,10; 3,4,7,10; 2,4,5,7,10; 2,3,4,5,7,10; 2,3,5,6,7,10; 4,8,10; 3,5,8,10; 2,3,5,8,10; 4,5,6,8,10; 2,4,5,6,8,10; 2,6,7,8,10; 2,4,6,7,8,10; 6,9,10; 3,6,9,10; 2,3,4,6,9,10; 2,5,7,9,10; 2,3,5,7,9,10; 6,7,9,10; 2,5,6,7,9,10; 2,3,6,8,9,10; 4,7,8,9,10; 2,5,7,8,9,10; 2,5,6,7,8,9,10; 1,2,6,11; 1,2,3,6,11; 1,7,11; 1,3,7,11; 1,4,5,7,11; 1,2,3,4,5,7,11; 3,8,11; 1,4,8,11; 1,3,5,8,11; 4,5,8,11; 3,5,6,8,11; 3,4,5,6,8,11; 1,6,7,8,11; 3,4,6,7,8,11; 5,9,11; 1,5,9,11; 1,2,5,9,11; 4,6,9,11; 3,4,6,9,11; 1,5,7,9,11; 5,6,7,9,11; 3,5,6,7,9,11; 3,7,8,9,11; 3,5,7,8,9,11; 1,5,6,7,8,9,11; 1,6,10,11; 7,10,11; 4,7,10,11; 1,4,7,10,11; 3,4,5,7,10,11; 3,6,8,10,11; 3,4,6,8,10,11; 7,8,10,11; 3,6,7,8,10,11; 1,4,6,7,8,10,11; 1,7,9,10,11; 3,4,7,9,10,11; 1,4,5,7,9,10,11; 5,8,9,10,11; 3,6,8,9,10,11; 3,6,7,8,9,10,11; 1,4,5,6,7,8,9,10,11; 2,3,7,12; 2,3,4,7,12; 2,8,12; 2,4,8,12; 2,5,6,8,12; 2,3,4,5,6,8,12; 1,2,4,6,7,8,12; 4,9,12; 2,5,9,12; 2,4,6,9,12; 5,6,9,12; 4,6,7,9,12; 4,5,6,7,9,12; 2,7,8,9,12; 4,5,7,8,9,12; 6,10,12; 2,6,10,12; 2,3,6,10,12; 5,7,10,12; 4,5,7,10,12; 2,6,8,10,12; 6,7,8,10,12; 4,6,7,8,10,12; 4,8,9,10,12; 4,6,8,9,10,12; 2,6,7,8,9,10,12; 2,7,11,12; 8,11,12; 5,8,11,12; 2,5,8,11,12; 4,5,6,8,11,12; 1,4,5,6,8,11,12; 4,7,9,11,12; 4,5,7,9,11,12; 8,9,11,12; 4,7,8,9,11,12; 2,5,7,8,9,11,12; 2,8,10,11,12; 4,5,8,10,11,12; 2,5,6,8,10,11,12; 6,9,10,11,12; 4,7,9,10,11,12; 1,4,7,9,10,11,12; 4,7,8,9,10,11,12; 2,5,6,7,8,9,10,11,12; -3 => 1,5,6; 1,2,3,5,6; 1,2,5,7; 2,6,7; 1,3,6,7; 2,3,4,6,7; 1,6,8; 2,3,6,8; 1,3,4,6,8; 1,2,3,4,6,8; 1,2,4,5,6,8; 3,7,8; 2,4,7,8; 1,2,4,7,8; 3,4,5,7,8; 1,3,4,5,7,8; 1,5,6,7,8; 1,3,5,6,7,8; 2,7,9; 3,4,7,9; 2,4,5,7,9; 2,3,4,5,7,9; 2,3,5,6,7,9; 4,8,9; 3,5,8,9; 2,3,5,8,9; 4,5,6,8,9; 2,4,5,6,8,9; 2,6,7,8,9; 2,4,6,7,8,9; 1,2,6,10; 1,2,3,6,10; 1,7,10; 1,3,7,10; 1,4,5,7,10; 1,2,3,4,5,7,10; 3,8,10; 1,4,8,10; 1,3,5,8,10; 4,5,8,10; 3,5,6,8,10; 3,4,5,6,8,10; 1,6,7,8,10; 3,4,6,7,8,10; 5,9,10; 1,5,9,10; 1,2,5,9,10; 4,6,9,10; 3,4,6,9,10; 1,5,7,9,10; 5,6,7,9,10; 3,5,6,7,9,10; 3,7,8,9,10; 3,5,7,8,9,10; 1,5,6,7,8,9,10; 2,3,7,11; 2,3,4,7,11; 2,8,11; 2,4,8,11; 2,5,6,8,11; 2,3,4,5,6,8,11; 1,2,4,6,7,8,11; 4,9,11; 2,5,9,11; 2,4,6,9,11; 5,6,9,11; 4,6,7,9,11; 4,5,6,7,9,11; 2,7,8,9,11; 4,5,7,8,9,11; 6,10,11; 2,6,10,11; 2,3,6,10,11; 5,7,10,11; 4,5,7,10,11; 2,6,8,10,11; 6,7,8,10,11; 4,6,7,8,10,11; 4,8,9,10,11; 4,6,8,9,10,11; 2,6,7,8,9,10,11; 1,3,4,7,12; 1,8,12; 1,2,4,8,12; 3,4,8,12; 3,4,5,8,12; 1,5,6,8,12; 1,3,4,5,6,8,12; 1,2,3,4,5,6,8,12; 1,2,4,5,6,7,8,12; 3,9,12; 3,5,9,12; 1,4,6,9,12; 1,2,4,5,6,9,12; 1,2,3,5,7,9,12; 3,6,7,9,12; 3,4,5,6,7,9,12; 1,3,4,5,6,7,9,12; 1,2,3,4,6,8,9,12; 1,7,8,9,12; 2,3,5,7,8,9,12; 1,2,3,5,7,8,9,12; 1,3,5,6,7,8,9,12; 5,10,12; 3,6,10,12; 1,3,6,10,12; 3,5,7,10,12; 6,7,10,12; 1,6,8,10,12; 5,7,8,10,12; 5,6,7,8,10,12; 1,4,5,6,7,8,10,12; 1,3,4,5,7,9,10,12; 3,8,9,10,12; 1,3,4,6,8,9,10,12; 5,6,8,9,10,12; 1,6,7,8,9,10,12; 1,4,6,7,8,9,10,12; 1,2,6,11,12; 7,11,12; 3,7,11,12; 3,4,7,11,12; 1,2,3,4,5,7,11,12; 1,2,3,5,6,7,11,12; 1,5,8,11,12; 6,8,11,12; 5,6,8,11,12; 1,2,4,5,6,8,11,12; 1,2,4,6,7,8,11,12; 3,7,9,11,12; 1,2,5,6,7,9,11,12; 7,8,9,11,12; 5,7,8,9,11,12; 1,5,7,8,9,11,12; 1,2,5,7,8,9,11,12; 1,5,6,7,8,9,11,12; 1,8,10,11,12; 1,5,6,8,10,11,12; 1,4,5,6,8,10,11,12; 1,2,6,7,8,10,11,12; 5,9,10,11,12; 5,7,9,10,11,12; 1,4,5,7,9,10,11,12; 1,2,6,8,9,10,11,12; 3,7,8,9,10,11,12; 1,5,7,8,9,10,11,12; 1,5,6,7,8,9,10,11,12; -4 => 1,2,5,6; 1,6,7; 2,3,6,7; 1,3,4,6,7; 1,2,3,4,6,7; 1,2,4,5,6,7; 2,7,8; 3,4,7,8; 2,4,5,7,8; 2,3,4,5,7,8; 2,3,5,6,7,8; 1,2,6,9; 1,2,3,6,9; 1,7,9; 1,3,7,9; 1,4,5,7,9; 1,2,3,4,5,7,9; 3,8,9; 1,4,8,9; 1,3,5,8,9; 4,5,8,9; 3,5,6,8,9; 3,4,5,6,8,9; 1,6,7,8,9; 3,4,6,7,8,9; 2,3,7,10; 2,3,4,7,10; 2,8,10; 2,4,8,10; 2,5,6,8,10; 2,3,4,5,6,8,10; 1,2,4,6,7,8,10; 4,9,10; 2,5,9,10; 2,4,6,9,10; 5,6,9,10; 4,6,7,9,10; 4,5,6,7,9,10; 2,7,8,9,10; 4,5,7,8,9,10; 1,3,4,7,11; 1,8,11; 1,2,4,8,11; 3,4,8,11; 3,4,5,8,11; 1,5,6,8,11; 1,3,4,5,6,8,11; 1,2,3,4,5,6,8,11; 1,2,4,5,6,7,8,11; 3,9,11; 3,5,9,11; 1,4,6,9,11; 1,2,4,5,6,9,11; 1,2,3,5,7,9,11; 3,6,7,9,11; 3,4,5,6,7,9,11; 1,3,4,5,6,7,9,11; 1,2,3,4,6,8,9,11; 1,7,8,9,11; 2,3,5,7,8,9,11; 1,2,3,5,7,8,9,11; 1,3,5,6,7,8,9,11; 5,10,11; 3,6,10,11; 1,3,6,10,11; 3,5,7,10,11; 6,7,10,11; 1,6,8,10,11; 5,7,8,10,11; 5,6,7,8,10,11; 1,4,5,6,7,8,10,11; 1,3,4,5,7,9,10,11; 3,8,9,10,11; 1,3,4,6,8,9,10,11; 5,6,8,9,10,11; 1,6,7,8,9,10,11; 1,4,6,7,8,9,10,11; 1,2,7,12; 1,2,3,4,7,12; 1,2,4,5,7,12; 1,2,5,6,7,12; 1,3,8,12; 2,4,5,8,12; 1,3,4,5,8,12; 1,3,5,6,8,12; 1,3,6,7,8,12; 2,9,12; 1,4,9,12; 2,3,5,9,12; 1,2,3,5,9,12; 4,5,9,12; 1,2,4,6,9,12; 4,5,6,9,12; 1,4,5,6,9,12; 1,2,5,7,9,12; 2,6,7,9,12; 1,4,6,7,9,12; 2,4,5,6,7,9,12; 2,3,4,5,6,7,9,12; 1,2,6,8,9,12; 1,4,7,8,9,12; 1,3,5,7,8,9,12; 2,3,5,6,7,8,9,12; 4,10,12; 1,5,10,12; 4,6,10,12; 1,3,4,6,10,12; 1,2,3,4,6,10,12; 2,5,7,10,12; 1,3,5,7,10,12; 1,5,6,7,10,12; 2,3,5,6,7,10,12; 1,3,6,8,10,12; 2,3,4,6,8,10,12; 4,7,8,10,12; 1,5,7,8,10,12; 1,2,5,7,8,10,12; 4,5,6,7,8,10,12; 2,4,5,6,7,8,10,12; 1,3,7,9,10,12; 1,2,4,7,9,10,12; 2,3,4,5,7,9,10,12; 2,8,9,10,12; 1,5,8,9,10,12; 3,4,6,8,9,10,12; 2,3,4,6,8,9,10,12; 2,4,6,7,8,9,10,12; 6,11,12; 1,6,11,12; 1,2,3,6,11,12; 4,7,11,12; 2,4,7,11,12; 1,2,4,7,11,12; 1,4,5,7,11,12; 1,2,5,8,11,12; 4,6,8,11,12; 1,4,6,8,11,12; 7,8,11,12; 1,6,7,8,11,12; 1,2,6,9,11,12; 2,7,9,11,12; 1,4,7,9,11,12; 6,8,9,11,12; 1,6,8,9,11,12; 6,7,8,9,11,12; 2,5,6,7,8,9,11,12; 1,2,7,10,11,12; 1,4,8,10,11,12; 2,4,5,6,8,10,11,12; 4,9,10,11,12; 1,6,9,10,11,12; 2,4,5,7,9,10,11,12; 6,7,9,10,11,12; 2,7,8,9,10,11,12; 2,5,7,8,9,10,11,12; -5 => 1,2,6,8; 1,2,3,6,8; 1,7,8; 1,3,7,8; 1,4,5,7,8; 1,2,3,4,5,7,8; 2,3,7,9; 2,3,4,7,9; 2,8,9; 2,4,8,9; 2,5,6,8,9; 2,3,4,5,6,8,9; 1,2,4,6,7,8,9; 1,3,4,7,10; 1,8,10; 1,2,4,8,10; 3,4,8,10; 3,4,5,8,10; 1,5,6,8,10; 1,3,4,5,6,8,10; 1,2,3,4,5,6,8,10; 1,2,4,5,6,7,8,10; 3,9,10; 3,5,9,10; 1,4,6,9,10; 1,2,4,5,6,9,10; 1,2,3,5,7,9,10; 3,6,7,9,10; 3,4,5,6,7,9,10; 1,3,4,5,6,7,9,10; 1,2,3,4,6,8,9,10; 1,7,8,9,10; 2,3,5,7,8,9,10; 1,2,3,5,7,8,9,10; 1,3,5,6,7,8,9,10; 1,2,7,11; 1,2,3,4,7,11; 1,2,4,5,7,11; 1,2,5,6,7,11; 1,3,8,11; 2,4,5,8,11; 1,3,4,5,8,11; 1,3,5,6,8,11; 1,3,6,7,8,11; 2,9,11; 1,4,9,11; 2,3,5,9,11; 1,2,3,5,9,11; 4,5,9,11; 1,2,4,6,9,11; 4,5,6,9,11; 1,4,5,6,9,11; 1,2,5,7,9,11; 2,6,7,9,11; 1,4,6,7,9,11; 2,4,5,6,7,9,11; 2,3,4,5,6,7,9,11; 1,2,6,8,9,11; 1,4,7,8,9,11; 1,3,5,7,8,9,11; 2,3,5,6,7,8,9,11; 4,10,11; 1,5,10,11; 4,6,10,11; 1,3,4,6,10,11; 1,2,3,4,6,10,11; 2,5,7,10,11; 1,3,5,7,10,11; 1,5,6,7,10,11; 2,3,5,6,7,10,11; 1,3,6,8,10,11; 2,3,4,6,8,10,11; 4,7,8,10,11; 1,5,7,8,10,11; 1,2,5,7,8,10,11; 4,5,6,7,8,10,11; 2,4,5,6,7,8,10,11; 1,3,7,9,10,11; 1,2,4,7,9,10,11; 2,3,4,5,7,9,10,11; 2,8,9,10,11; 1,5,8,9,10,11; 3,4,6,8,9,10,11; 2,3,4,6,8,9,10,11; 2,4,6,7,8,9,10,11; 1,2,3,7,12; 2,3,8,12; 1,4,5,8,12; 2,3,4,5,8,12; 2,3,5,6,8,12; 2,3,6,7,8,12; 1,9,12; 2,4,9,12; 1,3,5,9,12; 3,5,6,9,12; 2,4,5,6,9,12; 1,6,7,9,12; 2,4,6,7,9,12; 1,4,5,6,7,9,12; 1,2,3,4,5,6,7,9,12; 2,4,7,8,9,12; 3,10,12; 2,5,10,12; 1,2,5,10,12; 3,4,6,10,12; 2,3,4,6,10,12; 5,6,10,12; 1,5,7,10,12; 2,3,5,7,10,12; 5,6,7,10,12; 2,5,6,7,10,12; 1,3,5,6,7,10,12; 2,3,6,8,10,12; 1,3,4,6,8,10,12; 3,7,8,10,12; 2,5,7,8,10,12; 3,5,6,7,8,10,12; 3,4,5,6,7,8,10,12; 2,3,7,9,10,12; 1,8,9,10,12; 2,5,8,9,10,12; 2,4,6,8,9,10,12; 3,4,6,7,8,9,10,12; 5,11,12; 2,6,11,12; 1,4,7,11,12; 5,7,11,12; 2,4,5,7,11,12; 2,3,4,5,7,11,12; 1,2,5,6,7,11,12; 3,6,8,11,12; 2,4,6,8,11,12; 1,2,4,6,8,11,12; 2,6,7,8,11,12; 3,4,6,7,8,11,12; 1,2,3,6,9,11,12; 1,7,9,11,12; 2,4,7,9,11,12; 3,4,5,7,9,11,12; 5,8,9,11,12; 2,6,8,9,11,12; 2,3,6,8,9,11,12; 5,6,7,8,9,11,12; 3,5,6,7,8,9,11,12; 2,4,8,10,11,12; 2,3,5,8,10,11,12; 3,4,5,6,8,10,11,12; 3,9,10,11,12; 2,6,9,10,11,12; 1,2,6,9,10,11,12; 4,5,7,9,10,11,12; 3,4,5,7,9,10,11,12; 1,7,8,9,10,11,12; 3,5,7,8,9,10,11,12; -6 => 1,2,6,7; 1,2,3,6,7; 2,3,7,8; 2,3,4,7,8; 1,3,4,7,9; 1,8,9; 1,2,4,8,9; 3,4,8,9; 3,4,5,8,9; 1,5,6,8,9; 1,3,4,5,6,8,9; 1,2,3,4,5,6,8,9; 1,2,4,5,6,7,8,9; 1,2,7,10; 1,2,3,4,7,10; 1,2,4,5,7,10; 1,2,5,6,7,10; 1,3,8,10; 2,4,5,8,10; 1,3,4,5,8,10; 1,3,5,6,8,10; 1,3,6,7,8,10; 2,9,10; 1,4,9,10; 2,3,5,9,10; 1,2,3,5,9,10; 4,5,9,10; 1,2,4,6,9,10; 4,5,6,9,10; 1,4,5,6,9,10; 1,2,5,7,9,10; 2,6,7,9,10; 1,4,6,7,9,10; 2,4,5,6,7,9,10; 2,3,4,5,6,7,9,10; 1,2,6,8,9,10; 1,4,7,8,9,10; 1,3,5,7,8,9,10; 2,3,5,6,7,8,9,10; 1,2,3,7,11; 2,3,8,11; 1,4,5,8,11; 2,3,4,5,8,11; 2,3,5,6,8,11; 2,3,6,7,8,11; 1,9,11; 2,4,9,11; 1,3,5,9,11; 3,5,6,9,11; 2,4,5,6,9,11; 1,6,7,9,11; 2,4,6,7,9,11; 1,4,5,6,7,9,11; 1,2,3,4,5,6,7,9,11; 2,4,7,8,9,11; 3,10,11; 2,5,10,11; 1,2,5,10,11; 3,4,6,10,11; 2,3,4,6,10,11; 5,6,10,11; 1,5,7,10,11; 2,3,5,7,10,11; 5,6,7,10,11; 2,5,6,7,10,11; 1,3,5,6,7,10,11; 2,3,6,8,10,11; 1,3,4,6,8,10,11; 3,7,8,10,11; 2,5,7,8,10,11; 3,5,6,7,8,10,11; 3,4,5,6,7,8,10,11; 2,3,7,9,10,11; 1,8,9,10,11; 2,5,8,9,10,11; 2,4,6,8,9,10,11; 3,4,6,7,8,9,10,11; 1,2,3,5,6,7,12; 2,3,4,8,12; 3,4,9,12; 2,5,6,9,12; 3,4,5,6,9,12; 3,4,6,7,9,12; 3,4,7,8,9,12; 2,10,12; 3,5,10,12; 2,4,6,10,12; 4,6,7,10,12; 3,5,6,7,10,12; 2,7,8,10,12; 3,5,7,8,10,12; 2,5,6,7,8,10,12; 2,3,4,5,6,7,8,10,12; 3,5,8,9,10,12; 1,4,6,8,9,10,12; 4,11,12; 3,6,11,12; 2,3,6,11,12; 4,5,7,11,12; 3,4,5,7,11,12; 1,3,4,5,7,11,12; 6,7,11,12; 2,6,8,11,12; 3,4,6,8,11,12; 6,7,8,11,12; 3,6,7,8,11,12; 2,4,6,7,8,11,12; 3,4,7,9,11,12; 2,4,5,7,9,11,12; 4,8,9,11,12; 3,6,8,9,11,12; 1,3,6,8,9,11,12; 4,6,7,8,9,11,12; 4,5,6,7,8,9,11,12; 3,4,8,10,11,12; 1,3,5,8,10,11,12; 2,9,10,11,12; 3,6,9,10,11,12; 3,5,7,9,10,11,12; 4,5,7,8,9,10,11,12; -7 => 1,3,4,7,8; 1,2,7,9; 1,2,3,4,7,9; 1,2,4,5,7,9; 1,2,5,6,7,9; 1,3,8,9; 2,4,5,8,9; 1,3,4,5,8,9; 1,3,5,6,8,9; 1,3,6,7,8,9; 1,2,3,7,10; 2,3,8,10; 1,4,5,8,10; 2,3,4,5,8,10; 2,3,5,6,8,10; 2,3,6,7,8,10; 1,9,10; 2,4,9,10; 1,3,5,9,10; 3,5,6,9,10; 2,4,5,6,9,10; 1,6,7,9,10; 2,4,6,7,9,10; 1,4,5,6,7,9,10; 1,2,3,4,5,6,7,9,10; 2,4,7,8,9,10; 1,2,3,5,6,7,11; 2,3,4,8,11; 3,4,9,11; 2,5,6,9,11; 3,4,5,6,9,11; 3,4,6,7,9,11; 3,4,7,8,9,11; 2,10,11; 3,5,10,11; 2,4,6,10,11; 4,6,7,10,11; 3,5,6,7,10,11; 2,7,8,10,11; 3,5,7,8,10,11; 2,5,6,7,8,10,11; 2,3,4,5,6,7,8,10,11; 3,5,8,9,10,11; 1,4,6,8,9,10,11; 1,2,8,12; 1,3,4,8,12; 1,2,3,4,5,8,12; 2,3,4,6,7,8,12; 1,3,9,12; 1,2,4,9,12; 3,4,5,9,12; 1,5,6,9,12; 1,10,12; 1,4,10,12; 4,5,10,12; 1,4,6,10,12; 3,6,7,10,12; 4,5,6,7,10,12; 1,7,8,10,12; 4,5,7,8,10,12; 1,5,6,7,8,10,12; 1,3,4,5,6,7,8,10,12; 1,2,3,4,5,6,7,8,10,12; 4,5,8,9,10,12; 1,2,4,5,6,7,8,9,10,12; 3,11,12; 1,5,11,12; 1,3,6,11,12; 4,6,11,12; 3,5,7,11,12; 1,6,8,11,12; 5,7,8,11,12; 4,6,7,8,11,12; 1,4,6,7,8,11,12; 1,2,4,5,6,7,8,11,12; 1,4,5,7,9,11,12; 1,2,3,5,6,7,9,11,12; 3,8,9,11,12; 4,6,8,9,11,12; 1,2,3,4,6,8,9,11,12; 3,6,7,8,9,11,12; 3,4,5,6,7,8,9,11,12; 1,3,4,5,6,7,8,9,11,12; 1,2,4,5,6,8,10,11,12; 1,9,10,11,12; 4,6,9,10,11,12; 2,5,7,9,10,11,12; 1,2,3,6,8,9,10,11,12; 1,2,5,7,8,9,10,11,12; 1,3,5,6,7,8,9,10,11,12; -8 => 1,2,7,8; 1,2,3,4,7,8; 1,2,4,5,7,8; 1,2,5,6,7,8; 1,2,3,7,9; 2,3,8,9; 1,4,5,8,9; 2,3,4,5,8,9; 2,3,5,6,8,9; 2,3,6,7,8,9; 1,2,3,5,6,7,10; 2,3,4,8,10; 3,4,9,10; 2,5,6,9,10; 3,4,5,6,9,10; 3,4,6,7,9,10; 3,4,7,8,9,10; 1,2,8,11; 1,3,4,8,11; 1,2,3,4,5,8,11; 2,3,4,6,7,8,11; 1,3,9,11; 1,2,4,9,11; 3,4,5,9,11; 1,5,6,9,11; 1,10,11; 1,4,10,11; 4,5,10,11; 1,4,6,10,11; 3,6,7,10,11; 4,5,6,7,10,11; 1,7,8,10,11; 4,5,7,8,10,11; 1,5,6,7,8,10,11; 1,3,4,5,6,7,8,10,11; 1,2,3,4,5,6,7,8,10,11; 4,5,8,9,10,11; 1,2,4,5,6,7,8,9,10,11; 1,3,4,6,7,8,12; 2,3,9,12; 2,4,5,9,12; 2,3,4,5,6,9,12; 1,2,4,6,7,9,12; 1,2,3,6,8,9,12; 3,4,5,7,8,9,12; 2,4,10,12; 2,3,5,10,12; 4,5,6,10,12; 2,6,7,10,12; 2,11,12; 2,5,11,12; 5,6,11,12; 2,5,7,11,12; 4,7,8,11,12; 5,6,7,8,11,12; 2,8,9,11,12; 5,6,8,9,11,12; 2,6,7,8,9,11,12; 2,4,5,6,7,8,9,11,12; 2,3,4,5,6,7,8,9,11,12; 5,6,9,10,11,12; 1,5,7,9,10,11,12; 2,3,5,6,7,8,9,10,11,12; -9 => 1,2,3,7,8; 1,2,3,5,6,7,9; 2,3,4,8,9; 1,2,8,10; 1,3,4,8,10; 1,2,3,4,5,8,10; 2,3,4,6,7,8,10; 1,3,9,10; 1,2,4,9,10; 3,4,5,9,10; 1,5,6,9,10; 1,3,4,6,7,8,11; 2,3,9,11; 2,4,5,9,11; 2,3,4,5,6,9,11; 1,2,4,6,7,9,11; 1,2,3,6,8,9,11; 3,4,5,7,8,9,11; 2,4,10,11; 2,3,5,10,11; 4,5,6,10,11; 2,6,7,10,11; 1,2,3,8,12; 1,2,3,4,8,12; 1,2,4,5,8,12; 1,2,5,6,8,12; 1,2,6,7,8,12; 1,4,5,9,12; 1,3,4,5,9,12; 1,3,5,6,9,12; 1,3,4,5,6,9,12; 1,3,6,7,9,12; 1,3,7,8,9,12; 2,4,5,7,8,9,12; 3,4,10,12; 1,3,5,10,12; 1,2,3,5,10,12; 1,2,4,6,10,12; 3,5,6,10,12; 1,4,5,6,10,12; 1,2,4,5,6,10,12; 1,2,5,7,10,12; 1,2,3,5,7,10,12; 1,6,7,10,12; 1,4,6,7,10,12; 3,4,5,6,7,10,12; 1,2,6,8,10,12; 1,4,7,8,10,12; 2,3,5,7,8,10,12; 1,2,7,9,10,12; 2,3,4,7,9,10,12; 1,4,8,9,10,12; 1,2,5,8,9,10,12; 4,5,6,8,9,10,12; 1,11,12; 1,2,5,11,12; 3,5,11,12; 3,4,6,11,12; 1,3,4,6,11,12; 1,5,7,11,12; 1,3,5,7,11,12; 5,6,7,11,12; 1,5,6,7,11,12; 1,3,6,8,11,12; 3,7,8,11,12; 1,5,7,8,11,12; 1,3,7,9,11,12; 1,8,9,11,12; 1,5,8,9,11,12; 1,6,7,8,9,11,12; 1,4,5,6,7,8,9,11,12; 1,2,3,4,5,6,7,8,9,11,12; 1,3,8,10,11,12; 1,5,9,10,11,12; -10 => 1,2,3,5,6,7,8; 1,2,8,9; 1,3,4,8,9; 1,2,3,4,5,8,9; 2,3,4,6,7,8,9; 1,3,4,6,7,8,10; 2,3,9,10; 2,4,5,9,10; 2,3,4,5,6,9,10; 1,2,4,6,7,9,10; 1,2,3,6,8,9,10; 3,4,5,7,8,9,10; 1,2,3,8,11; 1,2,3,4,8,11; 1,2,4,5,8,11; 1,2,5,6,8,11; 1,2,6,7,8,11; 1,4,5,9,11; 1,3,4,5,9,11; 1,3,5,6,9,11; 1,3,4,5,6,9,11; 1,3,6,7,9,11; 1,3,7,8,9,11; 2,4,5,7,8,9,11; 3,4,10,11; 1,3,5,10,11; 1,2,3,5,10,11; 1,2,4,6,10,11; 3,5,6,10,11; 1,4,5,6,10,11; 1,2,4,5,6,10,11; 1,2,5,7,10,11; 1,2,3,5,7,10,11; 1,6,7,10,11; 1,4,6,7,10,11; 3,4,5,6,7,10,11; 1,2,6,8,10,11; 1,4,7,8,10,11; 2,3,5,7,8,10,11; 1,2,7,9,10,11; 2,3,4,7,9,10,11; 1,4,8,9,10,11; 1,2,5,8,9,10,11; 4,5,6,8,9,10,11; 1,2,9,12; 2,3,4,9,12; 2,3,4,5,9,12; 2,3,5,6,9,12; 1,2,3,4,5,6,9,12; 2,3,6,7,9,12; 1,2,4,5,6,7,9,12; 2,3,7,8,9,12; 1,4,5,7,8,9,12; 1,2,5,6,7,8,9,12; 1,3,10,12; 2,5,6,10,12; 2,4,5,6,10,12; 2,4,6,7,10,12; 2,4,5,6,7,10,12; 1,3,4,5,6,7,10,12; 1,2,3,4,6,8,10,12; 2,4,7,8,10,12; 1,3,5,7,8,10,12; 1,2,3,5,7,8,10,12; 1,3,5,6,7,8,10,12; 1,3,4,7,9,10,12; 1,2,4,5,7,9,10,12; 2,4,8,9,10,12; 1,2,4,6,8,9,10,12; 3,5,6,8,9,10,12; 1,3,6,7,8,9,10,12; 1,4,11,12; 4,5,11,12; 2,4,6,11,12; 2,3,4,6,11,12; 1,2,3,4,6,11,12; 2,3,5,7,11,12; 4,6,7,11,12; 2,5,6,7,11,12; 2,3,5,6,7,11,12; 2,3,6,8,11,12; 2,3,4,6,8,11,12; 2,7,8,11,12; 2,5,7,8,11,12; 1,2,5,7,8,11,12; 4,5,6,7,8,11,12; 1,4,5,6,7,8,11,12; 2,3,7,9,11,12; 1,2,4,7,9,11,12; 1,3,4,5,7,9,11,12; 2,5,8,9,11,12; 3,4,6,8,9,11,12; 1,3,4,6,8,9,11,12; 1,4,6,7,8,9,11,12; 1,2,3,7,10,11,12; 1,2,3,4,7,10,11,12; 2,3,8,10,11,12; 1,2,3,5,8,10,11,12; 3,4,5,8,10,11,12; 1,3,5,6,8,10,11,12; 2,5,9,10,11,12; 2,3,6,9,10,11,12; 1,2,3,6,9,10,11,12; 1,3,5,7,9,10,11,12; 5,6,7,9,10,11,12; 1,4,7,8,9,10,11,12; -11 => 1,3,4,6,7,8,9; 1,2,3,8,10; 1,2,3,4,8,10; 1,2,4,5,8,10; 1,2,5,6,8,10; 1,2,6,7,8,10; 1,4,5,9,10; 1,3,4,5,9,10; 1,3,5,6,9,10; 1,3,4,5,6,9,10; 1,3,6,7,9,10; 1,3,7,8,9,10; 2,4,5,7,8,9,10; 1,2,9,11; 2,3,4,9,11; 2,3,4,5,9,11; 2,3,5,6,9,11; 1,2,3,4,5,6,9,11; 2,3,6,7,9,11; 1,2,4,5,6,7,9,11; 2,3,7,8,9,11; 1,4,5,7,8,9,11; 1,2,5,6,7,8,9,11; 1,3,10,11; 2,5,6,10,11; 2,4,5,6,10,11; 2,4,6,7,10,11; 2,4,5,6,7,10,11; 1,3,4,5,6,7,10,11; 1,2,3,4,6,8,10,11; 2,4,7,8,10,11; 1,3,5,7,8,10,11; 1,2,3,5,7,8,10,11; 1,3,5,6,7,8,10,11; 1,3,4,7,9,10,11; 1,2,4,5,7,9,10,11; 2,4,8,9,10,11; 1,2,4,6,8,9,10,11; 3,5,6,8,9,10,11; 1,3,6,7,8,9,10,11; 1,3,4,9,12; 2,3,10,12; 1,2,4,10,12; 3,4,5,10,12; 1,5,6,10,12; 3,4,5,6,10,12; 3,4,6,7,10,12; 1,4,5,6,7,10,12; 2,3,4,5,6,7,10,12; 3,4,7,8,10,12; 2,3,5,6,7,8,10,12; 3,4,8,9,10,12; 2,5,6,8,9,10,12; 2,3,6,7,8,9,10,12; 2,4,11,12; 1,4,6,11,12; 3,6,7,11,12; 3,5,6,7,11,12; 1,3,5,6,7,11,12; 1,3,4,6,8,11,12; 1,7,8,11,12; 3,5,7,8,11,12; 3,5,6,7,8,11,12; 2,4,5,6,7,8,11,12; 2,3,4,5,7,9,11,12; 3,5,8,9,11,12; 2,4,6,8,9,11,12; 2,3,4,6,8,9,11,12; 2,4,6,7,8,9,11,12; 2,4,5,8,10,11,12; 2,3,5,6,8,10,11,12; 3,5,9,10,11,12; 1,3,6,9,10,11,12; 2,3,5,7,9,10,11,12; 4,6,7,9,10,11,12; 2,4,7,8,9,10,11,12; -12 => 1,2,3,8,9; 1,2,3,4,8,9; 1,2,4,5,8,9; 1,2,5,6,8,9; 1,2,6,7,8,9; 1,2,9,10; 2,3,4,9,10; 2,3,4,5,9,10; 2,3,5,6,9,10; 1,2,3,4,5,6,9,10; 2,3,6,7,9,10; 1,2,4,5,6,7,9,10; 2,3,7,8,9,10; 1,4,5,7,8,9,10; 1,2,5,6,7,8,9,10; 1,3,4,9,11; 2,3,10,11; 1,2,4,10,11; 3,4,5,10,11; 1,5,6,10,11; 3,4,5,6,10,11; 3,4,6,7,10,11; 1,4,5,6,7,10,11; 2,3,4,5,6,7,10,11; 3,4,7,8,10,11; 2,3,5,6,7,8,10,11; 3,4,8,9,10,11; 2,5,6,8,9,10,11; 2,3,6,7,8,9,10,11; 1,2,3,5,6,8,12; 2,4,5,10,12; 1,5,6,8,9,10,12; 3,4,11,12; 2,3,5,11,12; 4,5,6,11,12; 2,6,7,11,12; 4,5,6,7,11,12; 4,5,7,8,11,12; 2,5,6,7,8,11,12; 3,4,5,6,7,8,11,12; 4,5,8,9,11,12; 1,4,6,8,9,11,12; 3,4,6,7,8,9,11,12; 1,4,5,8,10,11,12; 4,5,9,10,11,12; 3,6,7,9,10,11,12; 3,4,7,8,9,10,11,12; -13 => 1,3,4,9,10; 1,2,3,5,6,8,11; 2,4,5,10,11; 1,5,6,8,9,10,11; 1,2,3,9,12; 1,2,3,4,5,9,12; 2,3,4,6,7,9,12; 1,2,4,7,8,9,12; 1,2,10,12; 1,4,5,10,12; 1,2,3,4,5,6,7,10,12; 1,2,3,4,5,7,9,10,12; 1,2,4,6,7,8,9,10,12; 1,3,11,12; 1,3,5,11,12; 3,5,6,11,12; 1,6,7,11,12; 1,5,6,7,8,11,12; 2,6,7,9,10,11,12; -14 => 1,2,3,5,6,8,10; 1,2,3,9,11; 1,2,3,4,5,9,11; 2,3,4,6,7,9,11; 1,2,4,7,8,9,11; 1,2,10,11; 1,4,5,10,11; 1,2,3,4,5,6,7,10,11; 1,2,3,4,5,7,9,10,11; 1,2,4,6,7,8,9,10,11; 1,2,3,4,9,12; 1,2,4,5,9,12; 1,2,5,6,9,12; 1,2,6,7,9,12; 1,3,4,6,7,9,12; 1,2,7,8,9,12; 2,3,4,10,12; 1,3,4,5,10,12; 1,3,5,6,10,12; 2,3,4,5,6,10,12; 1,3,6,7,10,12; 1,2,4,6,7,10,12; 1,2,3,6,8,10,12; 1,3,7,8,10,12; 3,4,5,7,8,10,12; 1,3,8,9,10,12; 2,3,5,8,9,10,12; 2,3,11,12; 1,2,3,5,11,12; 1,2,4,6,11,12; 2,5,6,11,12; 1,4,5,6,11,12; 1,2,5,7,11,12; 1,4,6,7,11,12; 1,2,6,8,11,12; 1,4,7,8,11,12; 2,3,4,5,6,7,8,11,12; 1,2,7,9,11,12; 1,4,8,9,11,12; 1,2,8,10,11,12; 2,3,4,5,6,8,10,11,12; 1,4,9,10,11,12; 1,6,7,9,10,11,12; 2,3,5,7,8,9,10,11,12; -15 => 1,2,3,5,6,8,9; 1,2,3,9,10; 1,2,3,4,5,9,10; 2,3,4,6,7,9,10; 1,2,4,7,8,9,10; 1,2,3,4,9,11; 1,2,4,5,9,11; 1,2,5,6,9,11; 1,2,6,7,9,11; 1,3,4,6,7,9,11; 1,2,7,8,9,11; 2,3,4,10,11; 1,3,4,5,10,11; 1,3,5,6,10,11; 2,3,4,5,6,10,11; 1,3,6,7,10,11; 1,2,4,6,7,10,11; 1,2,3,6,8,10,11; 1,3,7,8,10,11; 3,4,5,7,8,10,11; 1,3,8,9,10,11; 2,3,5,8,9,10,11; 1,3,4,10,12; 2,3,4,5,10,12; 2,3,5,6,10,12; 1,3,4,5,6,10,12; 2,3,6,7,10,12; 2,3,7,8,10,12; 2,4,5,7,8,10,12; 2,3,8,9,10,12; 1,3,5,8,9,10,12; 1,2,4,11,12; 3,4,5,11,12; 1,5,6,11,12; 2,4,5,6,11,12; 1,2,4,5,6,11,12; 1,2,3,5,7,11,12; 2,4,6,7,11,12; 3,4,5,6,7,11,12; 2,4,7,8,11,12; 2,3,5,7,8,11,12; 1,3,4,5,6,7,8,11,12; 2,3,4,7,9,11,12; 2,4,8,9,11,12; 1,2,5,8,9,11,12; 4,5,6,8,9,11,12; 1,2,4,8,10,11,12; 1,3,4,5,6,8,10,11,12; 2,4,9,10,11,12; 3,4,6,9,10,11,12; 1,3,5,7,8,9,10,11,12; -16 => 1,2,3,4,9,10; 1,2,4,5,9,10; 1,2,5,6,9,10; 1,2,6,7,9,10; 1,3,4,6,7,9,10; 1,2,7,8,9,10; 1,3,4,10,11; 2,3,4,5,10,11; 2,3,5,6,10,11; 1,3,4,5,6,10,11; 2,3,6,7,10,11; 2,3,7,8,10,11; 2,4,5,7,8,10,11; 2,3,8,9,10,11; 1,3,5,8,9,10,11; 1,4,5,7,8,10,12; 1,2,11,12; 2,4,5,11,12; 3,4,5,6,11,12; 3,4,6,7,11,12; 2,4,5,6,7,11,12; 3,4,7,8,11,12; 1,3,5,7,8,11,12; 1,2,3,4,5,6,7,8,11,12; 1,3,4,7,9,11,12; 3,4,8,9,11,12; 3,5,6,8,9,11,12; 1,2,4,5,6,7,8,9,11,12; 3,4,9,10,11,12; 2,4,6,9,10,11,12; 1,2,5,6,7,8,9,10,11,12; -17 => 1,4,5,7,8,10,11; 1,2,3,6,7,8,12; 1,2,3,4,6,7,8,12; 1,3,4,5,7,8,9,12; 1,2,3,10,12; 1,2,3,4,5,6,10,12; 1,2,4,5,6,7,10,12; 1,2,5,6,7,8,10,12; 1,4,5,6,8,9,10,12; 1,2,6,7,8,9,10,12; 1,4,5,11,12; 1,4,5,6,7,11,12; 1,3,4,5,6,7,11,12; 1,2,3,4,6,8,11,12; 1,2,3,5,7,8,11,12; 1,3,5,6,7,8,11,12; 1,2,4,5,7,9,11,12; 1,2,4,6,8,9,11,12; 2,5,6,8,9,11,12; 1,3,6,7,8,9,11,12; 1,2,5,6,8,10,11,12; 1,4,6,9,10,11,12; 1,2,5,7,9,10,11,12; 1,5,6,7,9,10,11,12; 1,3,7,8,9,10,11,12; -18 => 1,2,3,6,7,8,11; 1,2,3,4,6,7,8,11; 1,3,4,5,7,8,9,11; 1,2,3,10,11; 1,2,3,4,5,6,10,11; 1,2,4,5,6,7,10,11; 1,2,5,6,7,8,10,11; 1,4,5,6,8,9,10,11; 1,2,6,7,8,9,10,11; 1,2,3,5,6,9,12; 2,3,4,7,8,9,12; 2,3,4,5,7,8,9,12; 2,4,5,6,8,9,10,12; 2,3,4,11,12; 2,3,4,5,6,7,11,12; 2,3,5,6,7,8,11,12; 1,5,6,8,9,11,12; 2,3,6,7,8,9,11,12; 2,5,6,7,9,10,11,12; 2,3,7,8,9,10,11,12; -19 => 1,2,3,6,7,8,10; 1,2,3,4,6,7,8,10; 1,3,4,5,7,8,9,10; 1,2,3,5,6,9,11; 2,3,4,7,8,9,11; 2,3,4,5,7,8,9,11; 2,4,5,6,8,9,10,11; 1,3,4,7,8,9,12; 1,2,3,5,6,7,8,9,12; 1,2,3,4,10,12; 1,2,4,5,10,12; 1,2,3,4,5,10,12; 1,2,5,6,10,12; 1,2,6,7,10,12; 2,3,4,6,7,10,12; 1,2,7,8,10,12; 1,2,4,7,8,10,12; 1,2,3,7,9,10,12; 1,2,8,9,10,12; 3,4,5,8,9,10,12; 3,4,5,6,8,9,10,12; 1,3,4,11,12; 1,3,4,5,11,12; 1,3,5,6,11,12; 1,3,6,7,11,12; 1,3,7,8,11,12; 1,3,8,9,11,12; 1,3,9,10,11,12; 3,5,6,7,9,10,11,12; -20 => 1,2,3,6,7,8,9; 1,2,3,4,6,7,8,9; 1,2,3,5,6,9,10; 2,3,4,7,8,9,10; 2,3,4,5,7,8,9,10; 1,3,4,7,8,9,11; 1,2,3,5,6,7,8,9,11; 1,2,3,4,10,11; 1,2,4,5,10,11; 1,2,3,4,5,10,11; 1,2,5,6,10,11; 1,2,6,7,10,11; 2,3,4,6,7,10,11; 1,2,7,8,10,11; 1,2,4,7,8,10,11; 1,2,3,7,9,10,11; 1,2,8,9,10,11; 3,4,5,8,9,10,11; 3,4,5,6,8,9,10,11; 1,3,4,6,7,10,12; 2,4,5,8,9,10,12; 2,3,4,6,7,8,9,10,12; 2,3,4,5,11,12; 2,3,5,6,11,12; 2,3,4,5,6,11,12; 2,3,6,7,11,12; 1,2,4,6,7,11,12; 1,2,3,6,8,11,12; 2,3,7,8,11,12; 3,4,5,7,8,11,12; 2,3,8,9,11,12; 2,3,5,8,9,11,12; 2,3,4,8,10,11,12; 2,3,9,10,11,12; 1,2,5,9,10,11,12; 4,5,6,9,10,11,12; 4,5,6,7,9,10,11,12; -21 => 1,3,4,7,8,9,10; 1,2,3,5,6,7,8,9,10; 1,3,4,6,7,10,11; 2,4,5,8,9,10,11; 2,3,4,6,7,8,9,10,11; 1,4,5,8,9,10,12; 1,3,4,6,7,8,9,10,12; 1,2,3,11,12; 1,3,4,5,6,11,12; 1,2,3,4,5,6,7,11,12; 2,4,5,7,8,11,12; 1,2,3,4,5,7,9,11,12; 1,3,5,8,9,11,12; 1,2,4,6,7,8,9,11,12; 1,3,4,8,10,11,12; 1,2,3,6,7,8,10,11,12; 3,5,6,9,10,11,12; 1,2,3,5,7,9,10,11,12; 1,2,5,6,7,9,10,11,12; 3,4,5,7,8,9,10,11,12; -22 => 1,4,5,8,9,10,11; 1,3,4,6,7,8,9,10,11; 1,4,5,7,8,11,12; 2,5,6,9,10,11,12; 2,4,5,7,8,9,10,11,12; -23 => 1,2,3,6,7,9,12; 1,5,6,9,10,11,12; 1,4,5,7,8,9,10,11,12; -24 => 1,2,3,6,7,9,11; 1,2,3,4,6,7,9,12; 1,2,4,5,7,8,9,12; 1,2,3,5,6,10,12; 2,3,4,7,8,10,12; 1,3,4,5,7,8,10,12; 1,2,3,4,7,9,10,12; 1,2,4,8,9,10,12; 1,2,3,5,8,9,10,12; 1,3,5,6,8,9,10,12; 1,2,3,4,11,12; 1,2,4,5,11,12; 1,2,5,6,11,12; 1,2,3,4,5,6,11,12; 1,2,6,7,11,12; 1,2,4,5,6,7,11,12; 1,2,7,8,11,12; 1,2,5,6,7,8,11,12; 1,2,8,9,11,12; 1,4,5,6,8,9,11,12; 1,2,6,7,8,9,11,12; 1,3,4,5,8,10,11,12; 1,2,9,10,11,12; 1,3,4,6,9,10,11,12; 1,4,6,7,9,10,11,12; 1,2,7,8,9,10,11,12; -25 => 1,2,3,6,7,9,10; 1,2,3,4,6,7,9,11; 1,2,4,5,7,8,9,11; 1,2,3,5,6,10,11; 2,3,4,7,8,10,11; 1,3,4,5,7,8,10,11; 1,2,3,4,7,9,10,11; 1,2,4,8,9,10,11; 1,2,3,5,8,9,10,11; 1,3,5,6,8,9,10,11; 1,3,4,7,8,10,12; 2,3,4,5,7,8,10,12; 2,3,5,6,8,9,10,12; 1,2,3,4,5,11,12; 2,3,4,6,7,11,12; 1,2,4,7,8,11,12; 1,2,3,7,9,11,12; 3,4,5,8,9,11,12; 2,4,5,6,8,9,11,12; 2,3,4,5,8,10,11,12; 2,3,5,9,10,11,12; 2,3,4,6,9,10,11,12; 2,4,6,7,9,10,11,12; -26 => 1,2,3,4,6,7,9,10; 1,2,4,5,7,8,9,10; 1,3,4,7,8,10,11; 2,3,4,5,7,8,10,11; 2,3,5,6,8,9,10,11; 1,3,4,6,7,11,12; 2,4,5,8,9,11,12; 3,4,5,6,8,9,11,12; 1,3,5,9,10,11,12; 3,4,6,7,9,10,11,12; -27 => 1,2,3,5,6,7,8,10,12; 1,2,4,5,6,8,9,10,12; 1,4,5,8,9,11,12; -28 => 1,2,3,5,6,7,8,10,11; 1,2,4,5,6,8,9,10,11; 1,2,3,7,8,9,12; 2,3,4,6,7,8,9,11,12; 1,2,3,4,5,6,8,10,11,12; 1,2,3,4,6,7,8,10,11,12; 2,3,5,6,7,9,10,11,12; 1,2,3,5,6,7,9,10,11,12; 1,2,3,5,7,8,9,10,11,12; -29 => 1,2,3,7,8,9,11; 1,2,3,6,7,10,12; 2,3,4,8,9,10,12; 1,3,4,6,7,8,9,11,12; 1,3,5,6,7,9,10,11,12; -30 => 1,2,3,7,8,9,10; 1,2,3,6,7,10,11; 2,3,4,8,9,10,11; 1,3,4,8,9,10,12; 1,2,3,5,6,11,12; 2,3,4,7,8,11,12; 1,2,4,8,9,11,12; 1,2,3,8,10,11,12; 3,4,5,9,10,11,12; -31 => 1,3,4,8,9,10,11; 1,2,3,4,6,7,10,12; 1,2,4,5,7,8,10,12; 1,2,5,6,8,9,10,12; 1,3,4,7,8,11,12; 1,3,4,5,7,8,11,12; 1,2,3,4,7,9,11,12; 1,2,3,5,8,9,11,12; 1,3,5,6,8,9,11,12; 1,2,4,5,8,10,11,12; 2,4,5,9,10,11,12; 1,2,4,6,9,10,11,12; 1,3,6,7,9,10,11,12; -32 => 1,2,3,4,6,7,10,11; 1,2,4,5,7,8,10,11; 1,2,5,6,8,9,10,11; 2,3,4,5,7,8,11,12; 2,3,5,6,8,9,11,12; 1,4,5,9,10,11,12; 2,3,6,7,9,10,11,12; -33 => 1,2,3,4,5,7,8,9,12; -34 => 1,2,3,4,5,7,8,9,11; 1,2,3,7,8,10,12; 2,3,4,5,6,8,9,10,12; -35 => 1,2,3,4,5,7,8,9,10; 1,2,3,7,8,10,11; 2,3,4,5,6,8,9,10,11; 1,3,4,5,6,8,9,10,12; 1,2,3,6,7,11,12; 1,2,3,5,6,7,8,11,12; 2,3,4,8,9,11,12; 1,2,4,5,6,8,9,11,12; 1,2,3,5,6,8,10,11,12; 1,2,4,9,10,11,12; 1,2,3,4,6,9,10,11,12; 3,4,5,6,7,9,10,11,12; 1,2,4,7,8,9,10,11,12; -36 => 1,3,4,5,6,8,9,10,11; 1,3,4,8,9,11,12; 2,4,5,6,7,9,10,11,12; 1,2,3,5,6,7,8,9,10,11,12; -37 => 1,4,5,6,7,9,10,11,12; -38 => 1,2,3,4,7,8,9,12; 1,3,4,5,8,9,10,12; 1,2,3,4,6,7,11,12; 1,2,4,5,7,8,11,12; 1,2,5,6,8,9,11,12; 1,4,5,6,9,10,11,12; 1,2,6,7,9,10,11,12; -39 => 1,2,3,4,7,8,9,11; 1,3,4,5,8,9,10,11; 1,2,3,8,9,10,12; 2,3,4,5,8,9,10,12; 2,4,5,6,9,10,11,12; -40 => 1,2,3,4,7,8,9,10; 1,2,3,8,9,10,11; 2,3,4,5,8,9,10,11; 1,2,3,7,8,11,12; 2,3,4,9,10,11,12; 3,4,5,6,9,10,11,12; -41 => 1,2,3,4,5,7,8,10,12; 1,2,3,6,7,8,9,10,12; 1,3,4,9,10,11,12; -42 => 1,2,3,4,5,7,8,10,11; 1,2,3,6,7,8,9,10,11; 2,3,4,5,6,8,9,11,12; 2,3,4,7,8,9,10,11,12; -43 => 1,3,4,5,6,8,9,11,12; 1,3,4,7,8,9,10,11,12; -45 => 1,2,3,4,7,8,10,12; 1,2,4,5,8,9,10,12; 1,2,3,8,9,11,12; 1,3,4,5,8,9,11,12; 1,2,3,4,8,10,11,12; 1,2,3,5,9,10,11,12; 1,3,5,6,9,10,11,12; -46 => 1,2,3,4,7,8,10,11; 1,2,4,5,8,9,10,11; 2,3,4,5,8,9,11,12; 2,3,5,6,9,10,11,12; -49 => 1,2,3,4,5,7,8,11,12; 1,2,3,6,7,8,9,11,12; 1,2,3,4,5,8,10,11,12; 1,2,4,6,7,9,10,11,12; -50 => 1,2,3,9,10,11,12; -52 => 1,2,3,4,7,8,11,12; 1,2,4,5,8,9,11,12; 1,2,5,6,9,10,11,12; -55 => 1,2,3,5,6,8,9,10,12; 1,2,3,4,5,6,8,9,10,12; 1,2,3,4,6,7,8,9,10,12; 1,3,4,5,6,7,9,10,11,12; 1,3,4,5,7,8,9,10,11,12; -56 => 1,2,3,5,6,8,9,10,11; 1,2,3,4,5,6,8,9,10,11; 1,2,3,4,6,7,8,9,10,11; 2,3,4,6,7,9,10,11,12; 2,3,4,5,6,7,9,10,11,12; 2,3,4,5,7,8,9,10,11,12; -57 => 1,3,4,6,7,9,10,11,12; -59 => 1,2,3,4,8,9,10,12; 1,3,4,5,9,10,11,12; -60 => 1,2,3,4,8,9,10,11; 2,3,4,5,9,10,11,12; -63 => 1,2,3,5,6,8,9,11,12; 1,2,4,5,6,9,10,11,12; 1,2,3,7,8,9,10,11,12; -64 => 1,2,3,4,5,6,8,9,11,12; 1,2,3,4,6,7,8,9,11,12; 1,2,4,5,6,7,9,10,11,12; 1,2,4,5,7,8,9,10,11,12; -66 => 1,2,3,4,8,9,11,12; 1,2,4,5,9,10,11,12; -69 => 1,2,3,4,5,8,9,10,12; -70 => 1,2,3,4,5,8,9,10,11; 2,3,4,5,6,9,10,11,12; -71 => 1,3,4,5,6,9,10,11,12; -77 => 1,2,3,4,5,8,9,11,12; 1,2,3,6,7,9,10,11,12; -80 => 1,2,3,4,9,10,11,12; -84 => 1,2,3,4,5,6,7,9,10,11,12; -91 => 1,2,3,5,6,9,10,11,12; -105 => 1,2,3,4,5,9,10,11,12; -112 => 1,2,3,4,5,6,9,10,11,12; 1,2,3,4,6,7,9,10,11,12; 1,2,3,4,7,8,9,10,11,12; -126 => 1,2,3,4,5,7,8,9,10,11,12; |
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Только взял боец гитару, сразу видно - гармонист!
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 16:25 |
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Москва Вибрафон, перкуссия ![]() ![]() ![]() |
Вау! ![]() |
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Если при столкновении головы и книги происходит глухой стук, то не всегда в этом виновна книга.
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 18:06 |
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6 струн ![]() ![]() ![]() |
пипец | |
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 18:17 |
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хз
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Вампир, ты ошибся призванием, ты арифметик а не музыкант, мож поменяшь ориентацию пока не поздно? | |
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 18:33 |
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Москва Ovation, Spector, Musicman, Genelec, Fractal ![]() ![]() ![]() |
Почистил от ладов, не имеющих тонику 140 => 1,2,3,4,5,8,9,10,11,12; 126 => 1,2,3,4,5,6,8,9,10,11,12; 105 => 1,2,3,4,8,9,10,11,12; 98 => 1,2,3,4,5,7,8,10,11,12; 1,2,3,5,6,8,9,10,11,12; 91 => 1,2,3,4,7,8,10,11,12; 84 => 1,2,3,4,6,7,8,9,10,11,12; 77 => 1,2,3,4,6,7,10,11,12; 1,2,4,5,8,9,10,11,12; 71 => 1,2,3,4,7,8,9,10,12; 1,2,3,4,5,7,8,9,10,12; 1,3,4,5,6,8,9,10,11,12; 70 => 1,2,3,4,7,8,9,10,11; 1,2,3,4,5,7,8,9,10,11; 69 => 1,3,4,5,8,9,10,11,12; 63 => 1,2,3,4,7,8,9,11,12; 1,2,3,4,5,6,10,11,12; 1,2,4,5,7,8,10,11,12; 62 => 1,2,3,4,5,7,8,9,11,12; 1,2,4,5,6,8,9,10,11,12; 60 => 1,2,3,4,5,10,11,12; 1,2,3,5,6,10,11,12; 1,2,3,6,7,10,11,12; 1,2,3,7,8,10,11,12; 1,2,3,8,9,10,11,12; 57 => 1,2,3,4,6,7,9,10,12; 56 => 1,2,3,4,6,7,9,10,11; 1,2,3,4,5,6,7,10,11,12; 1,2,3,5,6,7,8,10,11,12; 1,2,3,6,7,8,9,10,11,12; 55 => 1,3,4,5,7,8,10,11,12; 50 => 1,2,3,4,10,11,12; 49 => 1,2,3,4,6,7,9,11,12; 1,2,4,5,6,7,10,11,12; 1,2,3,5,8,9,10,11,12; 1,2,5,6,8,9,10,11,12; 46 => 1,2,3,4,5,9,10,12; 1,2,3,5,6,9,10,12; 1,2,3,6,7,9,10,12; 1,2,3,7,8,9,10,12; 1,3,4,5,6,10,11,12; 1,3,4,6,7,10,11,12; 1,3,4,7,8,10,11,12; 1,3,4,8,9,10,11,12; 45 => 1,2,3,4,5,9,10,11; 1,2,3,5,6,9,10,11; 1,2,3,6,7,9,10,11; 1,2,3,7,8,9,10,11; 1,2,4,5,10,11,12; 43 => 1,2,3,4,5,6,9,10,12; 1,2,4,5,7,8,9,10,12; 42 => 1,2,3,4,5,6,9,10,11; 1,2,4,5,7,8,9,10,11; 41 => 1,2,3,4,9,10,12; 1,3,4,5,6,7,10,11,12; 1,3,5,6,8,9,10,11,12; 40 => 1,2,3,4,9,10,11; 1,2,5,6,10,11,12; 39 => 1,2,3,4,5,9,11,12; 1,2,3,5,6,9,11,12; 1,2,3,6,7,9,11,12; 1,2,3,7,8,9,11,12; 1,3,4,5,10,11,12; 1,2,4,5,6,10,11,12; 1,2,4,6,7,10,11,12; 1,2,4,7,8,10,11,12; 1,2,4,8,9,10,11,12; 37 => 1,2,3,4,6,7,8,9,12; 36 => 1,2,3,4,6,7,8,9,11; 1,2,4,5,9,10,12; 1,2,3,10,11,12; 1,2,3,4,5,6,7,8,10,11,12; 35 => 1,2,3,4,6,7,8,9,10; 1,2,4,5,9,10,11; 1,3,4,5,7,8,9,10,12; 1,2,3,4,9,11,12; 1,2,3,4,5,6,9,11,12; 1,2,4,5,7,8,9,11,12; 1,2,6,7,10,11,12; 1,2,3,5,7,8,10,11,12; 1,2,5,6,7,8,10,11,12; 1,2,3,4,7,9,10,11,12; 34 => 1,3,4,5,7,8,9,10,11; 1,3,5,6,10,11,12; 33 => 1,4,5,6,8,9,10,11,12; 32 => 1,2,3,4,8,9,12; 1,2,3,4,5,8,9,12; 1,2,3,5,6,8,9,12; 1,2,3,6,7,8,9,12; 1,3,4,5,6,9,10,12; 1,3,4,6,7,9,10,12; 1,3,4,7,8,9,10,12; 1,4,5,6,7,10,11,12; 1,4,5,7,8,10,11,12; 1,4,5,8,9,10,11,12; 31 => 1,2,3,4,8,9,11; 1,2,3,4,5,8,9,11; 1,2,3,5,6,8,9,11; 1,2,3,6,7,8,9,11; 1,3,4,5,6,9,10,11; 1,3,4,6,7,9,10,11; 1,3,4,7,8,9,10,11; 1,2,3,9,10,12; 1,2,5,6,9,10,12; 1,3,4,10,11,12; 30 => 1,2,3,4,8,9,10; 1,2,3,4,5,8,9,10; 1,2,3,5,6,8,9,10; 1,2,3,6,7,8,9,10; 1,2,3,9,10,11; 1,2,5,6,9,10,11; 1,3,4,5,9,10,12; 1,2,4,5,9,11,12; 1,2,3,5,10,11,12; 1,2,7,8,10,11,12; 29 => 1,3,4,5,9,10,11; 1,2,3,4,6,7,8,10,12; 1,2,4,5,6,7,9,10,12; 1,2,3,4,5,6,7,9,10,12; 1,2,3,5,6,7,8,9,10,12; 1,3,6,7,10,11,12; 1,3,4,5,6,7,8,10,11,12; 1,3,4,6,7,8,9,10,11,12; 28 => 1,2,3,4,6,7,8,10,11; 1,2,4,5,6,7,9,10,11; 1,2,3,4,5,6,7,9,10,11; 1,2,3,5,6,7,8,9,10,11; 1,4,5,6,10,11,12; 27 => 1,2,4,5,8,9,12; 1,3,4,5,7,8,9,11,12; 1,3,5,6,7,8,10,11,12; 26 => 1,2,4,5,8,9,11; 1,2,3,8,9,12; 1,2,3,4,8,10,12; 1,3,4,9,10,12; 1,2,6,7,9,10,12; 1,2,3,9,11,12; 1,2,4,10,11,12; 1,4,5,10,11,12; 25 => 1,2,4,5,8,9,10; 1,2,3,8,9,11; 1,2,3,4,8,10,11; 1,3,4,9,10,11; 1,2,6,7,9,10,11; 1,2,3,4,5,8,10,12; 1,2,3,5,6,8,10,12; 1,2,3,6,7,8,10,12; 1,3,5,6,9,10,12; 1,2,4,5,6,9,10,12; 1,2,4,6,7,9,10,12; 1,2,4,7,8,9,10,12; 1,2,5,6,9,11,12; 1,3,4,5,6,9,11,12; 1,3,4,6,7,9,11,12; 1,3,4,7,8,9,11,12; 1,2,4,6,10,11,12; 1,2,3,4,6,10,11,12; 1,2,3,5,7,10,11,12; 1,3,5,6,7,10,11,12; 1,2,3,6,8,10,11,12; 1,3,5,7,8,10,11,12; 1,2,3,7,9,10,11,12; 1,2,8,9,10,11,12; 1,3,5,8,9,10,11,12; 24 => 1,2,3,8,9,10; 1,2,3,4,5,8,10,11; 1,2,3,5,6,8,10,11; 1,2,3,6,7,8,10,11; 1,3,5,6,9,10,11; 1,2,4,5,6,9,10,11; 1,2,4,6,7,9,10,11; 1,2,4,7,8,9,10,11; 1,3,4,5,9,11,12; 1,3,7,8,10,11,12; 23 => 1,2,3,4,7,8,12; 1,2,3,4,5,6,8,9,12; 1,4,6,7,10,11,12; 22 => 1,2,3,4,7,8,11; 1,2,3,4,5,6,8,9,11; 1,2,5,6,8,9,12; 21 => 1,2,3,4,7,8,10; 1,2,3,4,5,6,8,9,10; 1,2,5,6,8,9,11; 1,2,3,7,8,12; 1,3,4,8,9,12; 1,3,4,5,8,9,12; 1,2,3,8,10,12; 1,2,4,5,8,10,12; 1,2,4,9,10,12; 1,2,3,5,9,10,12; 1,4,5,9,10,12; 1,3,4,5,6,7,9,10,12; 1,2,7,8,9,10,12; 1,2,3,4,6,7,8,11,12; 1,3,4,9,11,12; 1,2,4,5,6,7,9,11,12; 1,2,10,11,12; 1,3,5,10,11,12; 1,5,6,10,11,12; 1,2,3,5,6,7,10,11,12; 1,2,3,4,6,8,10,11,12; 1,2,4,6,8,9,10,11,12; 1,2,6,7,8,9,10,11,12; 20 => 1,2,3,4,7,8,9; 1,2,5,6,8,9,10; 1,2,3,7,8,11; 1,3,4,8,9,11; 1,3,4,5,8,9,11; 1,2,3,8,10,11; 1,2,4,5,8,10,11; 1,2,4,9,10,11; 1,2,3,5,9,10,11; 1,4,5,9,10,11; 1,3,4,5,6,7,9,10,11; 1,2,7,8,9,10,11; 1,3,6,7,9,10,12; 1,2,3,4,8,11,12; 1,2,6,7,9,11,12; 1,2,3,4,5,6,7,9,11,12; 1,2,3,5,6,7,8,9,11,12; 1,2,5,7,10,11,12; 1,2,4,5,6,7,8,10,11,12; 1,2,4,6,7,8,9,10,11,12; 19 => 1,2,3,7,8,10; 1,3,4,8,9,10; 1,3,4,5,8,9,10; 1,3,6,7,9,10,11; 1,2,9,10,12; 1,4,5,6,9,10,12; 1,3,5,6,9,11,12; 1,3,4,6,10,11,12; 1,4,5,6,7,8,10,11,12; 1,3,8,9,10,11,12; 18 => 1,2,3,7,8,9; 1,2,9,10,11; 1,4,5,6,9,10,11; 1,2,4,5,7,8,12; 1,2,3,4,5,7,8,12; 1,2,3,5,6,7,8,12; 1,3,4,5,6,8,9,12; 1,3,4,6,7,8,9,12; 1,4,5,6,7,9,10,12; 1,4,5,7,8,9,10,12; 1,2,3,4,5,8,11,12; 1,2,3,5,6,8,11,12; 1,2,3,6,7,8,11,12; 1,2,4,5,6,9,11,12; 1,2,4,6,7,9,11,12; 1,2,4,7,8,9,11,12; 1,2,5,6,7,10,11,12; 1,4,7,8,10,11,12; 1,2,5,7,8,10,11,12; 1,5,6,7,8,10,11,12; 1,2,5,8,9,10,11,12; 1,5,6,8,9,10,11,12; 17 => 1,2,4,5,7,8,11; 1,2,3,4,5,7,8,11; 1,2,3,5,6,7,8,11; 1,3,4,5,6,8,9,11; 1,3,4,6,7,8,9,11; 1,4,5,6,7,9,10,11; 1,4,5,7,8,9,10,11; 1,2,3,4,7,9,12; 1,2,8,9,12; 1,2,6,7,8,9,12; 1,3,10,11,12; 1,5,6,7,10,11,12; 16 => 1,2,4,5,7,8,10; 1,2,3,4,5,7,8,10; 1,2,3,5,6,7,8,10; 1,3,4,5,6,8,9,10; 1,3,4,6,7,8,9,10; 1,2,3,4,7,9,11; 1,2,8,9,11; 1,2,6,7,8,9,11; 1,2,3,6,7,12; 1,3,4,7,8,12; 1,2,3,7,9,12; 1,2,4,8,9,12; 1,4,5,8,9,12; 1,3,5,6,8,9,12; 1,3,4,8,10,12; 1,2,5,6,8,10,12; 1,3,5,9,10,12; 1,2,4,6,9,10,12; 1,5,6,9,10,12; 1,2,3,8,11,12; 1,2,4,9,11,12; 1,4,5,9,11,12; 1,2,5,10,11,12; 1,4,6,10,11,12; 1,6,7,10,11,12; 15 => 1,2,4,5,7,8,9; 1,2,3,4,5,7,8,9; 1,2,3,5,6,7,8,9; 1,2,3,4,7,9,10; 1,2,8,9,10; 1,2,6,7,8,9,10; 1,2,3,6,7,11; 1,3,4,7,8,11; 1,2,3,7,9,11; 1,2,4,8,9,11; 1,4,5,8,9,11; 1,3,5,6,8,9,11; 1,3,4,8,10,11; 1,2,5,6,8,10,11; 1,3,5,9,10,11; 1,2,4,6,9,10,11; 1,5,6,9,10,11; 1,2,7,8,12; 1,3,4,5,8,10,12; 1,2,3,4,5,6,8,10,12; 1,3,9,10,12; 1,3,7,8,9,10,12; 1,2,3,5,7,8,9,10,12; 1,2,5,6,7,8,9,10,12; 1,2,4,5,8,11,12; 1,2,9,11,12; 1,2,3,5,9,11,12; 1,2,7,8,9,11,12; 1,2,6,8,10,11,12; 14 => 1,2,3,6,7,10; 1,3,4,7,8,10; 1,2,3,7,9,10; 1,2,4,8,9,10; 1,4,5,8,9,10; 1,3,5,6,8,9,10; 1,2,7,8,11; 1,3,4,5,8,10,11; 1,2,3,4,5,6,8,10,11; 1,3,9,10,11; 1,3,7,8,9,10,11; 1,2,3,5,7,8,9,10,11; 1,2,5,6,7,8,9,10,11; 1,2,3,4,6,7,12; 1,4,6,7,9,10,12; 1,3,6,7,9,11,12; 1,3,5,7,10,11,12; 1,2,3,4,5,7,9,10,11,12; 1,2,3,4,6,8,9,10,11,12; 13 => 1,2,3,6,7,9; 1,3,4,7,8,9; 1,2,7,8,10; 1,2,3,4,6,7,11; 1,4,6,7,9,10,11; 1,2,6,7,12; 1,2,5,6,7,8,12; 1,3,8,9,12; 1,2,8,10,12; 1,4,5,6,9,11,12; 1,3,4,5,6,7,9,11,12; 1,4,10,11,12; 1,4,8,9,10,11,12; 1,3,4,6,8,9,10,11,12; 1,3,6,7,8,9,10,11,12; 12 => 1,2,3,6,7,8; 1,2,7,8,9; 1,2,3,4,6,7,10; 1,2,6,7,11; 1,2,5,6,7,8,11; 1,3,8,9,11; 1,2,8,10,11; 1,3,4,5,7,8,12; 1,2,4,5,7,9,12; 1,2,3,5,8,9,12; 1,5,7,8,10,11,12; 11 => 1,2,3,4,6,7,9; 1,2,6,7,10; 1,2,5,6,7,8,10; 1,3,8,9,10; 1,3,4,5,7,8,11; 1,2,4,5,7,9,11; 1,2,3,5,8,9,11; 1,12; 1,2,5,6,12; 1,2,3,5,6,12; 1,3,4,6,7,12; 1,2,3,6,8,12; 1,3,7,8,12; 1,2,4,7,8,12; 1,4,5,7,8,12; 1,2,7,9,12; 1,3,4,7,9,12; 1,2,3,4,5,7,9,12; 1,2,3,5,6,7,9,12; 1,3,5,8,9,12; 1,5,6,8,9,12; 1,2,4,5,6,8,9,12; 1,3,6,7,8,9,12; 1,2,4,6,7,8,9,12; 1,2,3,7,10,12; 1,2,3,4,7,10,12; 1,2,4,8,10,12; 1,4,5,8,10,12; 1,3,4,5,6,8,10,12; 1,2,6,7,8,10,12; 1,3,4,6,7,8,10,12; 1,4,9,10,12; 1,2,5,9,10,12; 1,4,6,9,10,12; 1,2,3,4,6,9,10,12; 1,2,5,7,9,10,12; 1,2,3,5,7,9,10,12; 1,6,7,9,10,12; 1,3,5,6,7,9,10,12; 1,2,3,6,8,9,10,12; 1,3,5,7,8,9,10,12; 1,3,4,8,11,12; 1,3,9,11,12; 1,3,5,9,11,12; 1,5,6,9,11,12; 1,4,5,6,7,9,11,12; 1,4,5,7,8,9,11,12; 1,3,6,10,11,12; 1,5,7,10,11,12; 1,3,4,5,7,10,11,12; 1,3,4,6,8,10,11,12; 1,7,8,10,11,12; 1,4,6,7,8,10,11,12; 1,3,4,7,9,10,11,12; 1,4,6,8,9,10,11,12; 10 => 1,2,3,4,6,7,8; 1,2,6,7,9; 1,2,5,6,7,8,9; 1,3,4,5,7,8,10; 1,2,4,5,7,9,10; 1,2,3,5,8,9,10; 1,11; 1,2,5,6,11; 1,2,3,5,6,11; 1,3,4,6,7,11; 1,2,3,6,8,11; 1,3,7,8,11; 1,2,4,7,8,11; 1,4,5,7,8,11; 1,2,7,9,11; 1,3,4,7,9,11; 1,2,3,4,5,7,9,11; 1,2,3,5,6,7,9,11; 1,3,5,8,9,11; 1,5,6,8,9,11; 1,2,4,5,6,8,9,11; 1,3,6,7,8,9,11; 1,2,4,6,7,8,9,11; 1,2,3,7,10,11; 1,2,3,4,7,10,11; 1,2,4,8,10,11; 1,4,5,8,10,11; 1,3,4,5,6,8,10,11; 1,2,6,7,8,10,11; 1,3,4,6,7,8,10,11; 1,4,9,10,11; 1,2,5,9,10,11; 1,4,6,9,10,11; 1,2,3,4,6,9,10,11; 1,2,5,7,9,10,11; 1,2,3,5,7,9,10,11; 1,6,7,9,10,11; 1,3,5,6,7,9,10,11; 1,2,3,6,8,9,10,11; 1,3,5,7,8,9,10,11; 1,4,5,6,8,9,12; 1,3,5,6,8,10,12; 1,3,4,6,9,10,12; 1,2,5,6,8,11,12; 1,2,4,6,9,11,12; 1,2,3,6,10,11,12; 1,2,7,9,10,11,12; 9 => 1,2,6,7,8; 1,3,4,5,7,8,9; 1,10; 1,2,5,6,10; 1,2,3,5,6,10; 1,3,4,6,7,10; 1,2,3,6,8,10; 1,3,7,8,10; 1,2,4,7,8,10; 1,4,5,7,8,10; 1,2,7,9,10; 1,3,4,7,9,10; 1,2,3,4,5,7,9,10; 1,2,3,5,6,7,9,10; 1,3,5,8,9,10; 1,5,6,8,9,10; 1,2,4,5,6,8,9,10; 1,3,6,7,8,9,10; 1,2,4,6,7,8,9,10; 1,4,5,6,8,9,11; 1,3,5,6,8,10,11; 1,3,4,6,9,10,11; 1,2,12; 1,2,4,5,12; 1,3,6,7,12; 1,2,4,5,6,7,12; 1,2,6,8,12; 1,4,8,9,12; 1,2,4,5,6,7,8,9,12; 1,3,8,10,12; 1,4,7,8,9,10,12; 1,2,8,11,12; 1,3,4,5,8,11,12; 1,3,7,8,9,11,12; 1,5,10,11,12; 1,3,6,8,10,11,12; 1,2,4,5,6,7,8,9,10,11,12; 8 => 1,9; 1,2,5,6,9; 1,2,3,5,6,9; 1,3,4,6,7,9; 1,2,3,6,8,9; 1,3,7,8,9; 1,2,4,7,8,9; 1,4,5,7,8,9; 1,4,5,6,8,9,10; 1,2,11; 1,2,4,5,11; 1,3,6,7,11; 1,2,4,5,6,7,11; 1,2,6,8,11; 1,4,8,9,11; 1,2,4,5,6,7,8,9,11; 1,3,8,10,11; 1,4,7,8,9,10,11; 1,2,3,12; 1,3,4,12; 1,4,5,12; 1,5,6,12; 1,6,7,12; 1,2,3,4,6,8,12; 1,7,8,12; 1,8,9,12; 1,9,10,12; 1,5,6,7,9,10,12; 1,4,6,7,9,11,12; 1,10,11,12; 1,4,5,7,10,11,12; 7 => 1,8; 1,2,5,6,8; 1,2,3,5,6,8; 1,3,4,6,7,8; 1,2,10; 1,2,4,5,10; 1,3,6,7,10; 1,2,4,5,6,7,10; 1,2,6,8,10; 1,4,8,9,10; 1,2,4,5,6,7,8,9,10; 1,2,3,11; 1,3,4,11; 1,4,5,11; 1,5,6,11; 1,6,7,11; 1,2,3,4,6,8,11; 1,7,8,11; 1,8,9,11; 1,9,10,11; 1,5,6,7,9,10,11; 1,3,12; 1,2,3,4,12; 1,3,5,6,12; 1,2,5,7,12; 1,4,7,8,12; 1,3,5,6,7,8,12; 1,3,7,9,12; 1,2,5,6,7,9,12; 1,2,4,6,8,9,12; 1,2,7,10,12; 1,5,9,10,12; 1,3,5,6,7,8,9,10,12; 1,2,3,4,5,6,8,11,12; 1,4,9,11,12; 1,2,3,5,7,8,9,11,12; 1,2,5,6,7,8,9,11,12; 1,2,3,4,5,7,10,11,12; 1,2,4,6,7,8,10,11,12; 1,2,4,5,7,9,10,11,12; 1,5,8,9,10,11,12; 6 => 1,7; 1,2,5,6,7; 1,2,3,5,6,7; 1,2,9; 1,2,4,5,9; 1,3,6,7,9; 1,2,4,5,6,7,9; 1,2,6,8,9; 1,2,3,10; 1,3,4,10; 1,4,5,10; 1,5,6,10; 1,6,7,10; 1,2,3,4,6,8,10; 1,7,8,10; 1,8,9,10; 1,3,11; 1,2,3,4,11; 1,3,5,6,11; 1,2,5,7,11; 1,4,7,8,11; 1,3,5,6,7,8,11; 1,3,7,9,11; 1,2,5,6,7,9,11; 1,2,4,6,8,9,11; 1,2,7,10,11; 1,5,9,10,11; 1,3,5,6,7,8,9,10,11; 1,2,3,4,5,12; 1,3,4,5,6,12; 1,2,3,5,7,12; 1,2,4,6,7,12; 1,4,5,6,7,12; 1,3,4,6,8,12; 1,3,5,7,8,12; 1,5,6,7,8,12; 1,2,3,6,9,12; 1,2,4,7,9,12; 1,4,5,7,9,12; 1,3,4,5,7,9,12; 1,2,5,8,9,12; 1,4,6,8,9,12; 1,6,7,8,9,12; 1,3,4,7,10,12; 1,2,4,5,7,10,12; 1,3,5,8,10,12; 1,2,3,5,8,10,12; 1,5,6,8,10,12; 1,3,6,9,10,12; 1,5,7,9,10,12; 1,2,6,8,9,10,12; 1,7,8,9,10,12; 1,2,3,7,11,12; 1,2,4,8,11,12; 1,4,5,8,11,12; 1,2,5,9,11,12; 1,4,6,9,11,12; 1,6,7,9,11,12; 1,2,6,10,11,12; 1,4,7,10,11,12; 1,6,8,10,11,12; 1,6,7,8,10,11,12; 1,8,9,10,11,12; 5 => 1,6; 1,2,8; 1,2,4,5,8; 1,3,6,7,8; 1,2,4,5,6,7,8; 1,2,3,9; 1,3,4,9; 1,4,5,9; 1,5,6,9; 1,6,7,9; 1,2,3,4,6,8,9; 1,7,8,9; 1,3,10; 1,2,3,4,10; 1,3,5,6,10; 1,2,5,7,10; 1,4,7,8,10; 1,3,5,6,7,8,10; 1,3,7,9,10; 1,2,5,6,7,9,10; 1,2,4,6,8,9,10; 1,2,3,4,5,11; 1,3,4,5,6,11; 1,2,3,5,7,11; 1,2,4,6,7,11; 1,4,5,6,7,11; 1,3,4,6,8,11; 1,3,5,7,8,11; 1,5,6,7,8,11; 1,2,3,6,9,11; 1,2,4,7,9,11; 1,4,5,7,9,11; 1,3,4,5,7,9,11; 1,2,5,8,9,11; 1,4,6,8,9,11; 1,6,7,8,9,11; 1,3,4,7,10,11; 1,2,4,5,7,10,11; 1,3,5,8,10,11; 1,2,3,5,8,10,11; 1,5,6,8,10,11; 1,3,6,9,10,11; 1,5,7,9,10,11; 1,2,6,8,9,10,11; 1,7,8,9,10,11; 1,4,12; 1,2,4,12; 1,3,5,12; 1,3,4,5,12; 1,4,6,12; 1,2,4,6,12; 1,2,3,4,5,6,12; 1,5,7,12; 1,4,6,7,12; 1,6,8,12; 1,3,6,8,12; 1,2,6,9,12; 1,7,9,12; 1,5,8,9,12; 1,4,6,7,8,9,12; 1,8,10,12; 1,4,8,10,12; 1,3,6,7,8,10,12; 1,3,5,7,9,10,12; 1,2,3,4,7,11,12; 1,3,8,11,12; 1,2,6,7,8,11,12; 1,9,11,12; 1,2,5,7,9,11,12; 1,6,10,11,12; 1,2,4,7,10,11,12; 1,4,6,7,8,9,10,11,12; 4 => 1,5; 1,2,7; 1,2,4,5,7; 1,2,3,8; 1,3,4,8; 1,4,5,8; 1,5,6,8; 1,6,7,8; 1,3,9; 1,2,3,4,9; 1,3,5,6,9; 1,2,5,7,9; 1,4,7,8,9; 1,3,5,6,7,8,9; 1,2,3,4,5,10; 1,3,4,5,6,10; 1,2,3,5,7,10; 1,2,4,6,7,10; 1,4,5,6,7,10; 1,3,4,6,8,10; 1,3,5,7,8,10; 1,5,6,7,8,10; 1,2,3,6,9,10; 1,2,4,7,9,10; 1,4,5,7,9,10; 1,3,4,5,7,9,10; 1,2,5,8,9,10; 1,4,6,8,9,10; 1,6,7,8,9,10; 1,4,11; 1,2,4,11; 1,3,5,11; 1,3,4,5,11; 1,4,6,11; 1,2,4,6,11; 1,2,3,4,5,6,11; 1,5,7,11; 1,4,6,7,11; 1,6,8,11; 1,3,6,8,11; 1,2,6,9,11; 1,7,9,11; 1,5,8,9,11; 1,4,6,7,8,9,11; 1,8,10,11; 1,4,8,10,11; 1,3,6,7,8,10,11; 1,3,5,7,9,10,11; 1,2,3,4,5,6,7,12; 1,3,4,5,6,7,8,12; 1,4,5,6,7,8,9,12; 1,2,3,4,5,7,10,12; 1,2,3,5,6,7,10,12; 1,4,5,6,8,10,12; 1,2,4,5,6,8,10,12; 1,2,4,6,7,8,10,12; 1,2,5,6,7,9,10,12; 1,2,5,7,8,9,10,12; 1,5,6,7,8,9,10,12; 1,3,5,6,8,11,12; 1,3,4,5,6,8,11,12; 1,3,4,6,7,8,11,12; 1,3,4,6,9,11,12; 1,2,3,4,6,9,11,12; 1,2,3,5,7,9,11,12; 1,3,5,6,7,9,11,12; 1,2,3,6,8,9,11,12; 1,3,5,7,8,9,11,12; 1,2,4,5,7,10,11,12; 1,2,4,6,8,10,11,12; 1,3,6,7,8,10,11,12; 1,3,7,9,10,11,12; 1,2,4,7,9,10,11,12; 1,3,6,8,9,10,11,12; 1,6,7,8,9,10,11,12; 3 => 1,4; 1,2,6; 1,2,4,5,6; 1,2,3,7; 1,3,4,7; 1,4,5,7; 1,5,6,7; 1,3,8; 1,2,3,4,8; 1,3,5,6,8; 1,2,5,7,8; 1,2,3,4,5,9; 1,3,4,5,6,9; 1,2,3,5,7,9; 1,2,4,6,7,9; 1,4,5,6,7,9; 1,3,4,6,8,9; 1,3,5,7,8,9; 1,5,6,7,8,9; 1,4,10; 1,2,4,10; 1,3,5,10; 1,3,4,5,10; 1,4,6,10; 1,2,4,6,10; 1,2,3,4,5,6,10; 1,5,7,10; 1,4,6,7,10; 1,6,8,10; 1,3,6,8,10; 1,2,6,9,10; 1,7,9,10; 1,5,8,9,10; 1,4,6,7,8,9,10; 1,2,3,4,5,6,7,11; 1,3,4,5,6,7,8,11; 1,4,5,6,7,8,9,11; 1,2,3,4,5,7,10,11; 1,2,3,5,6,7,10,11; 1,4,5,6,8,10,11; 1,2,4,5,6,8,10,11; 1,2,4,6,7,8,10,11; 1,2,5,6,7,9,10,11; 1,2,5,7,8,9,10,11; 1,5,6,7,8,9,10,11; 1,5,12; 1,2,3,5,12; 1,4,5,6,12; 1,3,5,7,12; 1,3,4,5,6,7,12; 1,2,5,8,12; 1,2,4,5,6,8,12; 1,5,7,8,12; 1,2,3,5,7,8,12; 1,2,3,4,5,6,7,8,12; 1,4,7,9,12; 1,3,7,10,12; 1,6,9,10,12; 1,5,7,8,9,10,12; 1,2,7,11,12; 1,5,9,11,12; 1,4,7,8,9,11,12; 1,4,6,8,10,11,12; 2 => 1,3; 1,2,5; 1,2,3,6; 1,3,4,6; 1,4,5,6; 1,3,7; 1,2,3,4,7; 1,3,5,6,7; 1,2,3,4,5,8; 1,3,4,5,6,8; 1,2,3,5,7,8; 1,2,4,6,7,8; 1,4,5,6,7,8; 1,4,9; 1,2,4,9; 1,3,5,9; 1,3,4,5,9; 1,4,6,9; 1,2,4,6,9; 1,2,3,4,5,6,9; 1,5,7,9; 1,4,6,7,9; 1,6,8,9; 1,3,6,8,9; 1,2,3,4,5,6,7,10; 1,3,4,5,6,7,8,10; 1,4,5,6,7,8,9,10; 1,5,11; 1,2,3,5,11; 1,4,5,6,11; 1,3,5,7,11; 1,3,4,5,6,7,11; 1,2,5,8,11; 1,2,4,5,6,8,11; 1,5,7,8,11; 1,2,3,5,7,8,11; 1,2,3,4,5,6,7,8,11; 1,4,7,9,11; 1,3,7,10,11; 1,6,9,10,11; 1,5,7,8,9,10,11; 1,2,5,12; 1,3,6,12; 1,4,7,12; 1,5,8,12; 1,6,9,12; 1,2,3,4,6,9,12; 1,2,5,7,8,9,12; 1,2,3,4,5,6,7,8,9,12; 1,7,10,12; 1,3,4,5,6,7,8,9,10,12; 1,8,11,12; 1,5,6,7,9,11,12; 1,4,5,6,7,8,9,10,11,12; 1 => 1; 1,2; 1,2,4; 1,2,3,5; 1,3,4,5; 1,3,6; 1,2,3,4,6; 1,2,3,4,5,7; 1,3,4,5,6,7; 1,4,8; 1,2,4,8; 1,3,5,8; 1,3,4,5,8; 1,4,6,8; 1,2,4,6,8; 1,2,3,4,5,6,8; 1,5,7,8; 1,4,6,7,8; 1,2,3,4,5,6,7,9; 1,3,4,5,6,7,8,9; 1,5,10; 1,2,3,5,10; 1,4,5,6,10; 1,3,5,7,10; 1,3,4,5,6,7,10; 1,2,5,8,10; 1,2,4,5,6,8,10; 1,5,7,8,10; 1,2,3,5,7,8,10; 1,2,3,4,5,6,7,8,10; 1,4,7,9,10; 1,2,5,11; 1,3,6,11; 1,4,7,11; 1,5,8,11; 1,6,9,11; 1,2,3,4,6,9,11; 1,2,5,7,8,9,11; 1,2,3,4,5,6,7,8,9,11; 1,7,10,11; 1,3,4,5,6,7,8,9,10,11; 1,6,12; 1,3,4,6,12; 1,2,3,4,6,12; 1,2,4,5,6,12; 1,2,4,7,12; 1,3,4,5,7,12; 1,5,6,7,12; 1,3,5,6,7,12; 1,2,3,5,8,12; 1,4,6,8,12; 1,2,4,6,8,12; 1,4,5,6,8,12; 1,2,5,7,8,12; 1,4,6,7,8,12; 1,4,5,6,7,8,12; 1,3,6,9,12; 1,3,4,6,9,12; 1,3,5,7,9,12; 1,5,6,7,9,12; 1,3,5,6,7,9,12; 1,6,8,9,12; 1,3,6,8,9,12; 1,3,4,6,8,9,12; 1,5,7,8,9,12; 1,3,4,5,6,7,8,9,12; 1,2,6,10,12; 1,2,3,6,10,12; 1,2,4,7,10,12; 1,4,5,7,10,12; 1,2,5,6,7,10,12; 1,5,8,10,12; 1,2,5,8,10,12; 1,4,6,8,10,12; 1,2,4,6,8,10,12; 1,6,7,8,10,12; 1,2,4,5,6,7,8,10,12; 1,2,6,9,10,12; 1,2,3,6,9,10,12; 1,4,7,9,10,12; 1,2,3,5,6,7,9,10,12; 1,6,8,9,10,12; 1,2,3,4,6,8,9,10,12; 1,2,3,4,5,6,7,8,9,10,12; 1,3,4,7,11,12; 1,4,8,11,12; 1,3,5,8,11,12; 1,5,6,8,11,12; 1,3,6,9,11,12; 1,5,7,9,11,12; 1,7,8,9,11,12; 1,7,10,11,12; 1,3,7,10,11,12; 1,5,8,10,11,12; 1,7,9,10,11,12; 1,6,8,9,10,11,12; 0 => 1,2,3; 1,2,3,4; 1,3,5; 1,2,3,4,5; 1,2,3,4,5,6; 1,4,7; 1,2,4,7; 1,3,5,7; 1,3,4,5,7; 1,4,6,7; 1,2,4,6,7; 1,2,3,4,5,6,7; 1,2,3,4,5,6,7,8; 1,5,9; 1,2,3,5,9; 1,4,5,6,9; 1,3,5,7,9; 1,3,4,5,6,7,9; 1,2,5,8,9; 1,2,4,5,6,8,9; 1,5,7,8,9; 1,2,3,5,7,8,9; 1,2,3,4,5,6,7,8,9; 1,2,5,10; 1,3,6,10; 1,4,7,10; 1,5,8,10; 1,6,9,10; 1,2,3,4,6,9,10; 1,2,5,7,8,9,10; 1,2,3,4,5,6,7,8,9,10; 1,6,11; 1,3,4,6,11; 1,2,3,4,6,11; 1,2,4,5,6,11; 1,2,4,7,11; 1,3,4,5,7,11; 1,5,6,7,11; 1,3,5,6,7,11; 1,2,3,5,8,11; 1,4,6,8,11; 1,2,4,6,8,11; 1,4,5,6,8,11; 1,2,5,7,8,11; 1,4,6,7,8,11; 1,4,5,6,7,8,11; 1,3,6,9,11; 1,3,4,6,9,11; 1,3,5,7,9,11; 1,5,6,7,9,11; 1,3,5,6,7,9,11; 1,6,8,9,11; 1,3,6,8,9,11; 1,3,4,6,8,9,11; 1,5,7,8,9,11; 1,3,4,5,6,7,8,9,11; 1,2,6,10,11; 1,2,3,6,10,11; 1,2,4,7,10,11; 1,4,5,7,10,11; 1,2,5,6,7,10,11; 1,5,8,10,11; 1,2,5,8,10,11; 1,4,6,8,10,11; 1,2,4,6,8,10,11; 1,6,7,8,10,11; 1,2,4,5,6,7,8,10,11; 1,2,6,9,10,11; 1,2,3,6,9,10,11; 1,4,7,9,10,11; 1,2,3,5,6,7,9,10,11; 1,6,8,9,10,11; 1,2,3,4,6,8,9,10,11; 1,2,3,4,5,6,7,8,9,10,11; 1,3,4,5,7,10,12; 1,3,6,8,9,10,12; 1,2,4,5,7,11,12; 1,2,3,5,8,11,12; 1,2,6,8,9,11,12; 1,2,5,8,10,11,12; 1,2,3,4,5,6,7,8,9,10,11,12; -1 => 1,3,4; 1,4,6; 1,2,4,6; 1,3,5,6; 1,3,4,5,6; 1,5,8; 1,2,3,5,8; 1,4,5,6,8; 1,3,5,7,8; 1,3,4,5,6,7,8; 1,2,5,9; 1,3,6,9; 1,4,7,9; 1,5,8,9; 1,6,10; 1,3,4,6,10; 1,2,3,4,6,10; 1,2,4,5,6,10; 1,2,4,7,10; 1,3,4,5,7,10; 1,5,6,7,10; 1,3,5,6,7,10; 1,2,3,5,8,10; 1,4,6,8,10; 1,2,4,6,8,10; 1,4,5,6,8,10; 1,2,5,7,8,10; 1,4,6,7,8,10; 1,4,5,6,7,8,10; 1,3,6,9,10; 1,3,4,6,9,10; 1,3,5,7,9,10; 1,5,6,7,9,10; 1,3,5,6,7,9,10; 1,6,8,9,10; 1,3,6,8,9,10; 1,3,4,6,8,9,10; 1,5,7,8,9,10; 1,3,4,5,6,7,8,9,10; 1,3,4,5,7,10,11; 1,3,6,8,9,10,11; 1,2,6,12; 1,2,3,6,12; 1,7,12; 1,3,7,12; 1,4,5,7,12; 1,2,3,4,5,7,12; 1,4,8,12; 1,3,5,8,12; 1,6,7,8,12; 1,5,9,12; 1,2,5,9,12; 1,5,7,9,12; 1,5,6,7,8,9,12; 1,6,10,12; 1,4,7,10,12; 1,4,6,7,8,10,12; 1,7,9,10,12; 1,4,5,7,9,10,12; 1,4,5,6,7,8,9,10,12; 1,7,11,12; 1,3,7,11,12; 1,3,6,7,8,11,12; 1,6,9,11,12; 1,3,5,7,9,11,12; 1,3,5,6,7,8,9,11,12; 1,3,4,7,10,11,12; 1,3,4,6,7,8,10,11,12; 1,3,4,5,7,9,10,11,12; 1,3,4,5,6,7,8,9,10,11,12; -2 => 1,4,5; 1,2,4,5; 1,5,7; 1,2,3,5,7; 1,4,5,6,7; 1,2,5,8; 1,3,6,8; 1,4,7,8; 1,6,9; 1,3,4,6,9; 1,2,3,4,6,9; 1,2,4,5,6,9; 1,2,4,7,9; 1,3,4,5,7,9; 1,5,6,7,9; 1,3,5,6,7,9; 1,2,3,5,8,9; 1,4,6,8,9; 1,2,4,6,8,9; 1,4,5,6,8,9; 1,2,5,7,8,9; 1,4,6,7,8,9; 1,4,5,6,7,8,9; 1,2,6,11; 1,2,3,6,11; 1,7,11; 1,3,7,11; 1,4,5,7,11; 1,2,3,4,5,7,11; 1,4,8,11; 1,3,5,8,11; 1,6,7,8,11; 1,5,9,11; 1,2,5,9,11; 1,5,7,9,11; 1,5,6,7,8,9,11; 1,6,10,11; 1,4,7,10,11; 1,4,6,7,8,10,11; 1,7,9,10,11; 1,4,5,7,9,10,11; 1,4,5,6,7,8,9,10,11; 1,2,4,6,7,8,12; 1,4,5,6,8,11,12; 1,4,7,9,10,11,12; -3 => 1,5,6; 1,2,3,5,6; 1,2,5,7; 1,3,6,7; 1,6,8; 1,3,4,6,8; 1,2,3,4,6,8; 1,2,4,5,6,8; 1,2,4,7,8; 1,3,4,5,7,8; 1,5,6,7,8; 1,3,5,6,7,8; 1,2,6,10; 1,2,3,6,10; 1,7,10; 1,3,7,10; 1,4,5,7,10; 1,2,3,4,5,7,10; 1,4,8,10; 1,3,5,8,10; 1,6,7,8,10; 1,5,9,10; 1,2,5,9,10; 1,5,7,9,10; 1,5,6,7,8,9,10; 1,2,4,6,7,8,11; 1,3,4,7,12; 1,8,12; 1,2,4,8,12; 1,5,6,8,12; 1,3,4,5,6,8,12; 1,2,3,4,5,6,8,12; 1,2,4,5,6,7,8,12; 1,4,6,9,12; 1,2,4,5,6,9,12; 1,2,3,5,7,9,12; 1,3,4,5,6,7,9,12; 1,2,3,4,6,8,9,12; 1,7,8,9,12; 1,2,3,5,7,8,9,12; 1,3,5,6,7,8,9,12; 1,3,6,10,12; 1,6,8,10,12; 1,4,5,6,7,8,10,12; 1,3,4,5,7,9,10,12; 1,3,4,6,8,9,10,12; 1,6,7,8,9,10,12; 1,4,6,7,8,9,10,12; 1,2,6,11,12; 1,2,3,4,5,7,11,12; 1,2,3,5,6,7,11,12; 1,5,8,11,12; 1,2,4,5,6,8,11,12; 1,2,4,6,7,8,11,12; 1,2,5,6,7,9,11,12; 1,5,7,8,9,11,12; 1,2,5,7,8,9,11,12; 1,5,6,7,8,9,11,12; 1,8,10,11,12; 1,5,6,8,10,11,12; 1,4,5,6,8,10,11,12; 1,2,6,7,8,10,11,12; 1,4,5,7,9,10,11,12; 1,2,6,8,9,10,11,12; 1,5,7,8,9,10,11,12; 1,5,6,7,8,9,10,11,12; -4 => 1,2,5,6; 1,6,7; 1,3,4,6,7; 1,2,3,4,6,7; 1,2,4,5,6,7; 1,2,6,9; 1,2,3,6,9; 1,7,9; 1,3,7,9; 1,4,5,7,9; 1,2,3,4,5,7,9; 1,4,8,9; 1,3,5,8,9; 1,6,7,8,9; 1,2,4,6,7,8,10; 1,3,4,7,11; 1,8,11; 1,2,4,8,11; 1,5,6,8,11; 1,3,4,5,6,8,11; 1,2,3,4,5,6,8,11; 1,2,4,5,6,7,8,11; 1,4,6,9,11; 1,2,4,5,6,9,11; 1,2,3,5,7,9,11; 1,3,4,5,6,7,9,11; 1,2,3,4,6,8,9,11; 1,7,8,9,11; 1,2,3,5,7,8,9,11; 1,3,5,6,7,8,9,11; 1,3,6,10,11; 1,6,8,10,11; 1,4,5,6,7,8,10,11; 1,3,4,5,7,9,10,11; 1,3,4,6,8,9,10,11; 1,6,7,8,9,10,11; 1,4,6,7,8,9,10,11; 1,2,7,12; 1,2,3,4,7,12; 1,2,4,5,7,12; 1,2,5,6,7,12; 1,3,8,12; 1,3,4,5,8,12; 1,3,5,6,8,12; 1,3,6,7,8,12; 1,4,9,12; 1,2,3,5,9,12; 1,2,4,6,9,12; 1,4,5,6,9,12; 1,2,5,7,9,12; 1,4,6,7,9,12; 1,2,6,8,9,12; 1,4,7,8,9,12; 1,3,5,7,8,9,12; 1,5,10,12; 1,3,4,6,10,12; 1,2,3,4,6,10,12; 1,3,5,7,10,12; 1,5,6,7,10,12; 1,3,6,8,10,12; 1,5,7,8,10,12; 1,2,5,7,8,10,12; 1,3,7,9,10,12; 1,2,4,7,9,10,12; 1,5,8,9,10,12; 1,6,11,12; 1,2,3,6,11,12; 1,2,4,7,11,12; 1,4,5,7,11,12; 1,2,5,8,11,12; 1,4,6,8,11,12; 1,6,7,8,11,12; 1,2,6,9,11,12; 1,4,7,9,11,12; 1,6,8,9,11,12; 1,2,7,10,11,12; 1,4,8,10,11,12; 1,6,9,10,11,12; -5 => 1,2,6,8; 1,2,3,6,8; 1,7,8; 1,3,7,8; 1,4,5,7,8; 1,2,3,4,5,7,8; 1,2,4,6,7,8,9; 1,3,4,7,10; 1,8,10; 1,2,4,8,10; 1,5,6,8,10; 1,3,4,5,6,8,10; 1,2,3,4,5,6,8,10; 1,2,4,5,6,7,8,10; 1,4,6,9,10; 1,2,4,5,6,9,10; 1,2,3,5,7,9,10; 1,3,4,5,6,7,9,10; 1,2,3,4,6,8,9,10; 1,7,8,9,10; 1,2,3,5,7,8,9,10; 1,3,5,6,7,8,9,10; 1,2,7,11; 1,2,3,4,7,11; 1,2,4,5,7,11; 1,2,5,6,7,11; 1,3,8,11; 1,3,4,5,8,11; 1,3,5,6,8,11; 1,3,6,7,8,11; 1,4,9,11; 1,2,3,5,9,11; 1,2,4,6,9,11; 1,4,5,6,9,11; 1,2,5,7,9,11; 1,4,6,7,9,11; 1,2,6,8,9,11; 1,4,7,8,9,11; 1,3,5,7,8,9,11; 1,5,10,11; 1,3,4,6,10,11; 1,2,3,4,6,10,11; 1,3,5,7,10,11; 1,5,6,7,10,11; 1,3,6,8,10,11; 1,5,7,8,10,11; 1,2,5,7,8,10,11; 1,3,7,9,10,11; 1,2,4,7,9,10,11; 1,5,8,9,10,11; 1,2,3,7,12; 1,4,5,8,12; 1,9,12; 1,3,5,9,12; 1,6,7,9,12; 1,4,5,6,7,9,12; 1,2,3,4,5,6,7,9,12; 1,2,5,10,12; 1,5,7,10,12; 1,3,5,6,7,10,12; 1,3,4,6,8,10,12; 1,8,9,10,12; 1,4,7,11,12; 1,2,5,6,7,11,12; 1,2,4,6,8,11,12; 1,2,3,6,9,11,12; 1,7,9,11,12; 1,2,6,9,10,11,12; 1,7,8,9,10,11,12; -6 => 1,2,6,7; 1,2,3,6,7; 1,3,4,7,9; 1,8,9; 1,2,4,8,9; 1,5,6,8,9; 1,3,4,5,6,8,9; 1,2,3,4,5,6,8,9; 1,2,4,5,6,7,8,9; 1,2,7,10; 1,2,3,4,7,10; 1,2,4,5,7,10; 1,2,5,6,7,10; 1,3,8,10; 1,3,4,5,8,10; 1,3,5,6,8,10; 1,3,6,7,8,10; 1,4,9,10; 1,2,3,5,9,10; 1,2,4,6,9,10; 1,4,5,6,9,10; 1,2,5,7,9,10; 1,4,6,7,9,10; 1,2,6,8,9,10; 1,4,7,8,9,10; 1,3,5,7,8,9,10; 1,2,3,7,11; 1,4,5,8,11; 1,9,11; 1,3,5,9,11; 1,6,7,9,11; 1,4,5,6,7,9,11; 1,2,3,4,5,6,7,9,11; 1,2,5,10,11; 1,5,7,10,11; 1,3,5,6,7,10,11; 1,3,4,6,8,10,11; 1,8,9,10,11; 1,2,3,5,6,7,12; 1,4,6,8,9,10,12; 1,3,4,5,7,11,12; 1,3,6,8,9,11,12; 1,3,5,8,10,11,12; -7 => 1,3,4,7,8; 1,2,7,9; 1,2,3,4,7,9; 1,2,4,5,7,9; 1,2,5,6,7,9; 1,3,8,9; 1,3,4,5,8,9; 1,3,5,6,8,9; 1,3,6,7,8,9; 1,2,3,7,10; 1,4,5,8,10; 1,9,10; 1,3,5,9,10; 1,6,7,9,10; 1,4,5,6,7,9,10; 1,2,3,4,5,6,7,9,10; 1,2,3,5,6,7,11; 1,4,6,8,9,10,11; 1,2,8,12; 1,3,4,8,12; 1,2,3,4,5,8,12; 1,3,9,12; 1,2,4,9,12; 1,5,6,9,12; 1,10,12; 1,4,10,12; 1,4,6,10,12; 1,7,8,10,12; 1,5,6,7,8,10,12; 1,3,4,5,6,7,8,10,12; 1,2,3,4,5,6,7,8,10,12; 1,2,4,5,6,7,8,9,10,12; 1,5,11,12; 1,3,6,11,12; 1,6,8,11,12; 1,4,6,7,8,11,12; 1,2,4,5,6,7,8,11,12; 1,4,5,7,9,11,12; 1,2,3,5,6,7,9,11,12; 1,2,3,4,6,8,9,11,12; 1,3,4,5,6,7,8,9,11,12; 1,2,4,5,6,8,10,11,12; 1,9,10,11,12; 1,2,3,6,8,9,10,11,12; 1,2,5,7,8,9,10,11,12; 1,3,5,6,7,8,9,10,11,12; -8 => 1,2,7,8; 1,2,3,4,7,8; 1,2,4,5,7,8; 1,2,5,6,7,8; 1,2,3,7,9; 1,4,5,8,9; 1,2,3,5,6,7,10; 1,2,8,11; 1,3,4,8,11; 1,2,3,4,5,8,11; 1,3,9,11; 1,2,4,9,11; 1,5,6,9,11; 1,10,11; 1,4,10,11; 1,4,6,10,11; 1,7,8,10,11; 1,5,6,7,8,10,11; 1,3,4,5,6,7,8,10,11; 1,2,3,4,5,6,7,8,10,11; 1,2,4,5,6,7,8,9,10,11; 1,3,4,6,7,8,12; 1,2,4,6,7,9,12; 1,2,3,6,8,9,12; 1,5,7,9,10,11,12; -9 => 1,2,3,7,8; 1,2,3,5,6,7,9; 1,2,8,10; 1,3,4,8,10; 1,2,3,4,5,8,10; 1,3,9,10; 1,2,4,9,10; 1,5,6,9,10; 1,3,4,6,7,8,11; 1,2,4,6,7,9,11; 1,2,3,6,8,9,11; 1,2,3,8,12; 1,2,3,4,8,12; 1,2,4,5,8,12; 1,2,5,6,8,12; 1,2,6,7,8,12; 1,4,5,9,12; 1,3,4,5,9,12; 1,3,5,6,9,12; 1,3,4,5,6,9,12; 1,3,6,7,9,12; 1,3,7,8,9,12; 1,3,5,10,12; 1,2,3,5,10,12; 1,2,4,6,10,12; 1,4,5,6,10,12; 1,2,4,5,6,10,12; 1,2,5,7,10,12; 1,2,3,5,7,10,12; 1,6,7,10,12; 1,4,6,7,10,12; 1,2,6,8,10,12; 1,4,7,8,10,12; 1,2,7,9,10,12; 1,4,8,9,10,12; 1,2,5,8,9,10,12; 1,11,12; 1,2,5,11,12; 1,3,4,6,11,12; 1,5,7,11,12; 1,3,5,7,11,12; 1,5,6,7,11,12; 1,3,6,8,11,12; 1,5,7,8,11,12; 1,3,7,9,11,12; 1,8,9,11,12; 1,5,8,9,11,12; 1,6,7,8,9,11,12; 1,4,5,6,7,8,9,11,12; 1,2,3,4,5,6,7,8,9,11,12; 1,3,8,10,11,12; 1,5,9,10,11,12; -10 => 1,2,3,5,6,7,8; 1,2,8,9; 1,3,4,8,9; 1,2,3,4,5,8,9; 1,3,4,6,7,8,10; 1,2,4,6,7,9,10; 1,2,3,6,8,9,10; 1,2,3,8,11; 1,2,3,4,8,11; 1,2,4,5,8,11; 1,2,5,6,8,11; 1,2,6,7,8,11; 1,4,5,9,11; 1,3,4,5,9,11; 1,3,5,6,9,11; 1,3,4,5,6,9,11; 1,3,6,7,9,11; 1,3,7,8,9,11; 1,3,5,10,11; 1,2,3,5,10,11; 1,2,4,6,10,11; 1,4,5,6,10,11; 1,2,4,5,6,10,11; 1,2,5,7,10,11; 1,2,3,5,7,10,11; 1,6,7,10,11; 1,4,6,7,10,11; 1,2,6,8,10,11; 1,4,7,8,10,11; 1,2,7,9,10,11; 1,4,8,9,10,11; 1,2,5,8,9,10,11; 1,2,9,12; 1,2,3,4,5,6,9,12; 1,2,4,5,6,7,9,12; 1,4,5,7,8,9,12; 1,2,5,6,7,8,9,12; 1,3,10,12; 1,3,4,5,6,7,10,12; 1,2,3,4,6,8,10,12; 1,3,5,7,8,10,12; 1,2,3,5,7,8,10,12; 1,3,5,6,7,8,10,12; 1,3,4,7,9,10,12; 1,2,4,5,7,9,10,12; 1,2,4,6,8,9,10,12; 1,3,6,7,8,9,10,12; 1,4,11,12; 1,2,3,4,6,11,12; 1,2,5,7,8,11,12; 1,4,5,6,7,8,11,12; 1,2,4,7,9,11,12; 1,3,4,5,7,9,11,12; 1,3,4,6,8,9,11,12; 1,4,6,7,8,9,11,12; 1,2,3,7,10,11,12; 1,2,3,4,7,10,11,12; 1,2,3,5,8,10,11,12; 1,3,5,6,8,10,11,12; 1,2,3,6,9,10,11,12; 1,3,5,7,9,10,11,12; 1,4,7,8,9,10,11,12; -11 => 1,3,4,6,7,8,9; 1,2,3,8,10; 1,2,3,4,8,10; 1,2,4,5,8,10; 1,2,5,6,8,10; 1,2,6,7,8,10; 1,4,5,9,10; 1,3,4,5,9,10; 1,3,5,6,9,10; 1,3,4,5,6,9,10; 1,3,6,7,9,10; 1,3,7,8,9,10; 1,2,9,11; 1,2,3,4,5,6,9,11; 1,2,4,5,6,7,9,11; 1,4,5,7,8,9,11; 1,2,5,6,7,8,9,11; 1,3,10,11; 1,3,4,5,6,7,10,11; 1,2,3,4,6,8,10,11; 1,3,5,7,8,10,11; 1,2,3,5,7,8,10,11; 1,3,5,6,7,8,10,11; 1,3,4,7,9,10,11; 1,2,4,5,7,9,10,11; 1,2,4,6,8,9,10,11; 1,3,6,7,8,9,10,11; 1,3,4,9,12; 1,2,4,10,12; 1,5,6,10,12; 1,4,5,6,7,10,12; 1,4,6,11,12; 1,3,5,6,7,11,12; 1,3,4,6,8,11,12; 1,7,8,11,12; 1,3,6,9,10,11,12; -12 => 1,2,3,8,9; 1,2,3,4,8,9; 1,2,4,5,8,9; 1,2,5,6,8,9; 1,2,6,7,8,9; 1,2,9,10; 1,2,3,4,5,6,9,10; 1,2,4,5,6,7,9,10; 1,4,5,7,8,9,10; 1,2,5,6,7,8,9,10; 1,3,4,9,11; 1,2,4,10,11; 1,5,6,10,11; 1,4,5,6,7,10,11; 1,2,3,5,6,8,12; 1,5,6,8,9,10,12; 1,4,6,8,9,11,12; 1,4,5,8,10,11,12; -13 => 1,3,4,9,10; 1,2,3,5,6,8,11; 1,5,6,8,9,10,11; 1,2,3,9,12; 1,2,3,4,5,9,12; 1,2,4,7,8,9,12; 1,2,10,12; 1,4,5,10,12; 1,2,3,4,5,6,7,10,12; 1,2,3,4,5,7,9,10,12; 1,2,4,6,7,8,9,10,12; 1,3,11,12; 1,3,5,11,12; 1,6,7,11,12; 1,5,6,7,8,11,12; -14 => 1,2,3,5,6,8,10; 1,2,3,9,11; 1,2,3,4,5,9,11; 1,2,4,7,8,9,11; 1,2,10,11; 1,4,5,10,11; 1,2,3,4,5,6,7,10,11; 1,2,3,4,5,7,9,10,11; 1,2,4,6,7,8,9,10,11; 1,2,3,4,9,12; 1,2,4,5,9,12; 1,2,5,6,9,12; 1,2,6,7,9,12; 1,3,4,6,7,9,12; 1,2,7,8,9,12; 1,3,4,5,10,12; 1,3,5,6,10,12; 1,3,6,7,10,12; 1,2,4,6,7,10,12; 1,2,3,6,8,10,12; 1,3,7,8,10,12; 1,3,8,9,10,12; 1,2,3,5,11,12; 1,2,4,6,11,12; 1,4,5,6,11,12; 1,2,5,7,11,12; 1,4,6,7,11,12; 1,2,6,8,11,12; 1,4,7,8,11,12; 1,2,7,9,11,12; 1,4,8,9,11,12; 1,2,8,10,11,12; 1,4,9,10,11,12; 1,6,7,9,10,11,12; -15 => 1,2,3,5,6,8,9; 1,2,3,9,10; 1,2,3,4,5,9,10; 1,2,4,7,8,9,10; 1,2,3,4,9,11; 1,2,4,5,9,11; 1,2,5,6,9,11; 1,2,6,7,9,11; 1,3,4,6,7,9,11; 1,2,7,8,9,11; 1,3,4,5,10,11; 1,3,5,6,10,11; 1,3,6,7,10,11; 1,2,4,6,7,10,11; 1,2,3,6,8,10,11; 1,3,7,8,10,11; 1,3,8,9,10,11; 1,3,4,10,12; 1,3,4,5,6,10,12; 1,3,5,8,9,10,12; 1,2,4,11,12; 1,5,6,11,12; 1,2,4,5,6,11,12; 1,2,3,5,7,11,12; 1,3,4,5,6,7,8,11,12; 1,2,5,8,9,11,12; 1,2,4,8,10,11,12; 1,3,4,5,6,8,10,11,12; 1,3,5,7,8,9,10,11,12; -16 => 1,2,3,4,9,10; 1,2,4,5,9,10; 1,2,5,6,9,10; 1,2,6,7,9,10; 1,3,4,6,7,9,10; 1,2,7,8,9,10; 1,3,4,10,11; 1,3,4,5,6,10,11; 1,3,5,8,9,10,11; 1,4,5,7,8,10,12; 1,2,11,12; 1,3,5,7,8,11,12; 1,2,3,4,5,6,7,8,11,12; 1,3,4,7,9,11,12; 1,2,4,5,6,7,8,9,11,12; 1,2,5,6,7,8,9,10,11,12; -17 => 1,4,5,7,8,10,11; 1,2,3,6,7,8,12; 1,2,3,4,6,7,8,12; 1,3,4,5,7,8,9,12; 1,2,3,10,12; 1,2,3,4,5,6,10,12; 1,2,4,5,6,7,10,12; 1,2,5,6,7,8,10,12; 1,4,5,6,8,9,10,12; 1,2,6,7,8,9,10,12; 1,4,5,11,12; 1,4,5,6,7,11,12; 1,3,4,5,6,7,11,12; 1,2,3,4,6,8,11,12; 1,2,3,5,7,8,11,12; 1,3,5,6,7,8,11,12; 1,2,4,5,7,9,11,12; 1,2,4,6,8,9,11,12; 1,3,6,7,8,9,11,12; 1,2,5,6,8,10,11,12; 1,4,6,9,10,11,12; 1,2,5,7,9,10,11,12; 1,5,6,7,9,10,11,12; 1,3,7,8,9,10,11,12; -18 => 1,2,3,6,7,8,11; 1,2,3,4,6,7,8,11; 1,3,4,5,7,8,9,11; 1,2,3,10,11; 1,2,3,4,5,6,10,11; 1,2,4,5,6,7,10,11; 1,2,5,6,7,8,10,11; 1,4,5,6,8,9,10,11; 1,2,6,7,8,9,10,11; 1,2,3,5,6,9,12; 1,5,6,8,9,11,12; -19 => 1,2,3,6,7,8,10; 1,2,3,4,6,7,8,10; 1,3,4,5,7,8,9,10; 1,2,3,5,6,9,11; 1,3,4,7,8,9,12; 1,2,3,5,6,7,8,9,12; 1,2,3,4,10,12; 1,2,4,5,10,12; 1,2,3,4,5,10,12; 1,2,5,6,10,12; 1,2,6,7,10,12; 1,2,7,8,10,12; 1,2,4,7,8,10,12; 1,2,3,7,9,10,12; 1,2,8,9,10,12; 1,3,4,11,12; 1,3,4,5,11,12; 1,3,5,6,11,12; 1,3,6,7,11,12; 1,3,7,8,11,12; 1,3,8,9,11,12; 1,3,9,10,11,12; -20 => 1,2,3,6,7,8,9; 1,2,3,4,6,7,8,9; 1,2,3,5,6,9,10; 1,3,4,7,8,9,11; 1,2,3,5,6,7,8,9,11; 1,2,3,4,10,11; 1,2,4,5,10,11; 1,2,3,4,5,10,11; 1,2,5,6,10,11; 1,2,6,7,10,11; 1,2,7,8,10,11; 1,2,4,7,8,10,11; 1,2,3,7,9,10,11; 1,2,8,9,10,11; 1,3,4,6,7,10,12; 1,2,4,6,7,11,12; 1,2,3,6,8,11,12; 1,2,5,9,10,11,12; -21 => 1,3,4,7,8,9,10; 1,2,3,5,6,7,8,9,10; 1,3,4,6,7,10,11; 1,4,5,8,9,10,12; 1,3,4,6,7,8,9,10,12; 1,2,3,11,12; 1,3,4,5,6,11,12; 1,2,3,4,5,6,7,11,12; 1,2,3,4,5,7,9,11,12; 1,3,5,8,9,11,12; 1,2,4,6,7,8,9,11,12; 1,3,4,8,10,11,12; 1,2,3,6,7,8,10,11,12; 1,2,3,5,7,9,10,11,12; 1,2,5,6,7,9,10,11,12; -22 => 1,4,5,8,9,10,11; 1,3,4,6,7,8,9,10,11; 1,4,5,7,8,11,12; -23 => 1,2,3,6,7,9,12; 1,5,6,9,10,11,12; 1,4,5,7,8,9,10,11,12; -24 => 1,2,3,6,7,9,11; 1,2,3,4,6,7,9,12; 1,2,4,5,7,8,9,12; 1,2,3,5,6,10,12; 1,3,4,5,7,8,10,12; 1,2,3,4,7,9,10,12; 1,2,4,8,9,10,12; 1,2,3,5,8,9,10,12; 1,3,5,6,8,9,10,12; 1,2,3,4,11,12; 1,2,4,5,11,12; 1,2,5,6,11,12; 1,2,3,4,5,6,11,12; 1,2,6,7,11,12; 1,2,4,5,6,7,11,12; 1,2,7,8,11,12; 1,2,5,6,7,8,11,12; 1,2,8,9,11,12; 1,4,5,6,8,9,11,12; 1,2,6,7,8,9,11,12; 1,3,4,5,8,10,11,12; 1,2,9,10,11,12; 1,3,4,6,9,10,11,12; 1,4,6,7,9,10,11,12; 1,2,7,8,9,10,11,12; -25 => 1,2,3,6,7,9,10; 1,2,3,4,6,7,9,11; 1,2,4,5,7,8,9,11; 1,2,3,5,6,10,11; 1,3,4,5,7,8,10,11; 1,2,3,4,7,9,10,11; 1,2,4,8,9,10,11; 1,2,3,5,8,9,10,11; 1,3,5,6,8,9,10,11; 1,3,4,7,8,10,12; 1,2,3,4,5,11,12; 1,2,4,7,8,11,12; 1,2,3,7,9,11,12; -26 => 1,2,3,4,6,7,9,10; 1,2,4,5,7,8,9,10; 1,3,4,7,8,10,11; 1,3,4,6,7,11,12; 1,3,5,9,10,11,12; -27 => 1,2,3,5,6,7,8,10,12; 1,2,4,5,6,8,9,10,12; 1,4,5,8,9,11,12; -28 => 1,2,3,5,6,7,8,10,11; 1,2,4,5,6,8,9,10,11; 1,2,3,7,8,9,12; 1,2,3,4,5,6,8,10,11,12; 1,2,3,4,6,7,8,10,11,12; 1,2,3,5,6,7,9,10,11,12; 1,2,3,5,7,8,9,10,11,12; -29 => 1,2,3,7,8,9,11; 1,2,3,6,7,10,12; 1,3,4,6,7,8,9,11,12; 1,3,5,6,7,9,10,11,12; -30 => 1,2,3,7,8,9,10; 1,2,3,6,7,10,11; 1,3,4,8,9,10,12; 1,2,3,5,6,11,12; 1,2,4,8,9,11,12; 1,2,3,8,10,11,12; -31 => 1,3,4,8,9,10,11; 1,2,3,4,6,7,10,12; 1,2,4,5,7,8,10,12; 1,2,5,6,8,9,10,12; 1,3,4,7,8,11,12; 1,3,4,5,7,8,11,12; 1,2,3,4,7,9,11,12; 1,2,3,5,8,9,11,12; 1,3,5,6,8,9,11,12; 1,2,4,5,8,10,11,12; 1,2,4,6,9,10,11,12; 1,3,6,7,9,10,11,12; -32 => 1,2,3,4,6,7,10,11; 1,2,4,5,7,8,10,11; 1,2,5,6,8,9,10,11; 1,4,5,9,10,11,12; -33 => 1,2,3,4,5,7,8,9,12; -34 => 1,2,3,4,5,7,8,9,11; 1,2,3,7,8,10,12; -35 => 1,2,3,4,5,7,8,9,10; 1,2,3,7,8,10,11; 1,3,4,5,6,8,9,10,12; 1,2,3,6,7,11,12; 1,2,3,5,6,7,8,11,12; 1,2,4,5,6,8,9,11,12; 1,2,3,5,6,8,10,11,12; 1,2,4,9,10,11,12; 1,2,3,4,6,9,10,11,12; 1,2,4,7,8,9,10,11,12; -36 => 1,3,4,5,6,8,9,10,11; 1,3,4,8,9,11,12; 1,2,3,5,6,7,8,9,10,11,12; -37 => 1,4,5,6,7,9,10,11,12; -38 => 1,2,3,4,7,8,9,12; 1,3,4,5,8,9,10,12; 1,2,3,4,6,7,11,12; 1,2,4,5,7,8,11,12; 1,2,5,6,8,9,11,12; 1,4,5,6,9,10,11,12; 1,2,6,7,9,10,11,12; -39 => 1,2,3,4,7,8,9,11; 1,3,4,5,8,9,10,11; 1,2,3,8,9,10,12; -40 => 1,2,3,4,7,8,9,10; 1,2,3,8,9,10,11; 1,2,3,7,8,11,12; -41 => 1,2,3,4,5,7,8,10,12; 1,2,3,6,7,8,9,10,12; 1,3,4,9,10,11,12; -42 => 1,2,3,4,5,7,8,10,11; 1,2,3,6,7,8,9,10,11; -43 => 1,3,4,5,6,8,9,11,12; 1,3,4,7,8,9,10,11,12; -45 => 1,2,3,4,7,8,10,12; 1,2,4,5,8,9,10,12; 1,2,3,8,9,11,12; 1,3,4,5,8,9,11,12; 1,2,3,4,8,10,11,12; 1,2,3,5,9,10,11,12; 1,3,5,6,9,10,11,12; -46 => 1,2,3,4,7,8,10,11; 1,2,4,5,8,9,10,11; -49 => 1,2,3,4,5,7,8,11,12; 1,2,3,6,7,8,9,11,12; 1,2,3,4,5,8,10,11,12; 1,2,4,6,7,9,10,11,12; -50 => 1,2,3,9,10,11,12; -52 => 1,2,3,4,7,8,11,12; 1,2,4,5,8,9,11,12; 1,2,5,6,9,10,11,12; -55 => 1,2,3,5,6,8,9,10,12; 1,2,3,4,5,6,8,9,10,12; 1,2,3,4,6,7,8,9,10,12; 1,3,4,5,6,7,9,10,11,12; 1,3,4,5,7,8,9,10,11,12; -56 => 1,2,3,5,6,8,9,10,11; 1,2,3,4,5,6,8,9,10,11; 1,2,3,4,6,7,8,9,10,11; -57 => 1,3,4,6,7,9,10,11,12; -59 => 1,2,3,4,8,9,10,12; 1,3,4,5,9,10,11,12; -60 => 1,2,3,4,8,9,10,11; -63 => 1,2,3,5,6,8,9,11,12; 1,2,4,5,6,9,10,11,12; 1,2,3,7,8,9,10,11,12; -64 => 1,2,3,4,5,6,8,9,11,12; 1,2,3,4,6,7,8,9,11,12; 1,2,4,5,6,7,9,10,11,12; 1,2,4,5,7,8,9,10,11,12; -66 => 1,2,3,4,8,9,11,12; 1,2,4,5,9,10,11,12; -69 => 1,2,3,4,5,8,9,10,12; -70 => 1,2,3,4,5,8,9,10,11; -71 => 1,3,4,5,6,9,10,11,12; -77 => 1,2,3,4,5,8,9,11,12; 1,2,3,6,7,9,10,11,12; -80 => 1,2,3,4,9,10,11,12; -84 => 1,2,3,4,5,6,7,9,10,11,12; -91 => 1,2,3,5,6,9,10,11,12; -105 => 1,2,3,4,5,9,10,11,12; -112 => 1,2,3,4,5,6,9,10,11,12; 1,2,3,4,6,7,9,10,11,12; 1,2,3,4,7,8,9,10,11,12; -126 => 1,2,3,4,5,7,8,9,10,11,12; |
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Только взял боец гитару, сразу видно - гармонист!
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 18:44 |
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хз
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Братцы, вы бы хоть по стакану наливали всем кто сюда заходит, без него родимого не разберешься ![]() |
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 18:55 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
О, и програмку писать не нужно. А теперь давайте всем цехом выведем закономерность ![]() |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 19:05 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
У тебя ошибочка вышла! Лад обязательно на 12 должен заканчиваться по моей системе, а иначе это полный бред, потому что не учитывается повтор через октаву. |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 19:34 |
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Москва![]() ![]() |
кароче хроматизмы рулят... 140 у них | |
возвращение помидоров-убийц.
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 20:46 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
У хроматизмов 0. | |
В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 20:46 |
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6 струн ![]() ![]() ![]() |
Вомпир, это и так полный бред, уже и ёжику ясно, что ты сте6аешься. | |
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 01.12.2005 20:52 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
Стебаюсь?????????? ![]() |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 02.12.2005 04:57 |
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Москва Ovation, Spector, Musicman, Genelec, Fractal ![]() ![]() ![]() |
----------- У тебя ошибочка вышла! Лад обязательно на 12 должен заканчиваться по моей системе, а иначе это полный бред, потому что не учитывается повтор через октаву. ----------- Ээээ... а какога, собсно? ![]() 12 полутон в До-мажоре это Си. Нафига каждый лад должен иметь Си? ![]() |
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Только взял боец гитару, сразу видно - гармонист!
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 02.12.2005 17:05 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
Дааааааа. . . ![]() В до-мажоре 0 и 12 - это до и есть. По моей системе лад обязательно должен содержать 0 и 12. Я же писал, что мажор - это 0 2 4 5 7 9 11 12, минор - 0 2 3 5 7 8 10 12. Пересчитывай давай ![]() |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 02.12.2005 18:15 |
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Москва Kramer Glide, Roland JP-8000 ![]() ![]() ![]() |
Эолийская: C D Eb F G Ab Bb C 0 2 3 5 7 8 10 12 2 1 2 2 1 2 2 -1 1 0 -1 1 0 2 -1 -1 2 -1 -3 0 3 -3 3 3 -6 0 -9 -9 Локрийская: B C D E F G A B 0 1 3 5 6 8 10 12 1 2 2 1 2 2 2 1 0 -1 1 0 0 -1 -1 2 -1 0 0 3 -3 1 3 -6 4 -9 10 19 Ионийский: C D E F G A B C 0 2 4 5 7 9 11 12 2 2 1 2 2 2 1 0 -1 1 0 0 -1 -1 2 -1 0 -1 3 -3 1 -1 -6 4 -2 10 -6 16 Дорийский: D E F G A B C D 2 1 2 2 2 1 2 -1 1 0 0 -1 1 2 -1 0 -1 2 -3 1 -1 3 4 -2 4 -6 6 12 Фригийский: E F G A B C D E 1 2 2 2 1 2 2 1 0 0 -1 1 0 -1 0 -1 2 -1 1 -1 3 -3 -2 4 -6 6 -10 16 Лидийский: F G A B C D E F 2 2 2 1 2 2 1 0 0 -1 1 0 -1 0 -1 2 -1 -1 -1 3 -3 0 4 -6 3 -10 9 19 Миксолидийский: G A B C D E F G 2 2 1 2 2 1 2 0 -1 1 0 -1 1 -1 2 -1 -1 2 3 -3 0 3 -6 3 3 9 0 -9 Неаполитанская минорная: C Db Eb F G Ab B C 0 1 3 5 7 8 11 12 1 2 2 2 1 3 1 1 0 0 -1 2 -2 -1 0 -1 3 -4 1 -1 4 -7 -2 5 -11 7 -16 -23 Неаполитанская мажорная: C Db Eb F G A B C 0 1 3 5 7 9 11 12 1 2 2 2 2 2 1 1 0 0 0 0 -1 -1 0 0 0 -1 1 0 0 -1 -1 0 1 1 1 0 Восточная: C Db E F Gb A Bb C 0 1 4 5 6 9 10 12 1 3 1 1 3 1 2 2 -2 0 2 -2 1 -4 2 2 -4 3 6 0 -6 7 -6 -6 13 0 -19 -19 Двойная гармоническая: C Db E F G Ab B C 0 1 4 5 7 8 11 12 1 3 1 2 1 3 1 2 -2 1 -1 2 -2 -4 3 -2 3 -4 7 -5 5 -7 -12 10 -12 22 -22 -44 Венгерская минорная: C D Eb F# G Ab B C 0 2 3 6 7 8 11 12 2 1 3 1 1 3 1 -1 2 -2 0 2 -2 3 -4 2 2 -4 -7 6 0 -6 13 -6 -6 -19 0 19 Венгерская мажорная: C D E F# G A Bb C 0 2 4 6 7 9 10 12 2 2 2 1 2 1 2 0 0 -1 1 -1 1 0 -1 2 -2 2 -1 3 -4 4 4 -7 8 -11 15 26 Индийская: C D E F G Ab Bb C 0 2 4 5 7 8 10 12 2 2 1 2 1 2 2 0 -1 1 -1 1 0 -1 2 -2 2 -1 3 -4 4 -3 -7 8 -7 15 -15 30 Испанская 8-тоновая: C Db Eb E F Gb Ab Bb C 0 1 3 4 5 6 8 10 12 1 2 1 1 1 2 2 2 1 -1 0 0 1 0 0 -2 1 0 1 -1 0 3 -1 1 -2 1 -4 2 -3 3 6 -5 6 -11 11 22 Венгерская цыганская: C D Eb F# G Ab Bb C 0 2 3 6 7 8 10 12 2 1 3 1 1 2 2 -1 2 -2 0 1 0 3 -4 2 1 -1 -7 6 -1 -2 13 -7 3 -20 10 30 Фригийская мажорная: C Db E F G Ab Bb C 0 1 4 5 7 8 10 12 1 3 1 2 1 2 2 2 -2 1 -1 1 0 -4 3 -2 2 -1 7 -5 4 -3 -12 9 -7 21 -16 -37 Локрианская мажорная: C D E F Gb Ab Bb C 0 2 4 5 6 8 10 12 2 2 1 1 2 2 2 0 -1 0 1 0 0 -1 1 1 -1 0 2 0 -2 1 -2 -2 3 0 5 5 Лидийская минорная: C D E F# G Ab Bb C 0 2 4 6 7 8 10 12 2 2 2 1 1 2 2 0 0 -1 0 1 0 0 -1 1 1 -1 -1 2 0 -2 3 -2 -2 -5 0 5 Овертонами: C D E F# G A Bb C 0 2 4 6 7 9 10 12 2 2 2 1 2 1 2 0 0 -1 1 -1 1 0 -1 2 -2 2 -1 3 -4 4 4 -7 8 -11 15 26 Целотонная: C D E F# G# A# B C 0 2 4 6 8 10 11 12 2 2 2 2 2 1 1 0 0 0 0 -1 0 0 0 0 -1 1 0 0 -1 2 0 -1 3 -1 4 5 Арабская: C D E F Gb Ab Bb C 0 2 4 5 6 8 10 12 2 2 1 1 2 2 2 0 -1 0 1 0 0 -2 1 1 -1 0 3 0 -2 1 -3 -2 3 1 5 4 Балинезийская: C Db Eb G Ab C 0 1 3 7 8 12 1 2 4 1 4 1 3 -3 3 2 -6 6 -8 12 20 Цыганская: C Db E F G Ab B C 0 1 4 5 7 8 11 12 1 3 1 2 1 3 1 2 -2 1 -1 2 -2 -4 3 -2 3 -4 7 -5 5 -7 -12 10 -12 22 -22 -44 Магометанская: C D Eb F G Ab B C 0 2 3 5 7 8 11 12 2 1 2 2 1 3 1 -1 1 0 -1 2 -2 2 -1 -1 3 -4 -3 0 4 -7 3 4 -11 1 -15 -16 Яванская: C Db Eb F G A Bb C 0 1 3 5 7 9 10 12 1 2 2 2 2 1 2 1 0 0 0 -1 1 -1 0 0 -1 2 1 0 -1 3 -1 -1 4 0 5 5 Персийская: C Db E F Gb Ab B C 0 1 4 5 6 8 11 12 1 3 1 1 2 3 1 2 -2 0 1 1 -2 -4 2 1 0 -3 6 -1 -1 -3 -7 0 -2 7 -2 -9 Китайская: F G A C D F 0 2 4 7 9 12 2 2 3 2 3 0 1 -1 1 1 -2 2 -3 4 7 |
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В то время как тень СССР сгустилась над Европой, 12 стран по обе стороны Атлантики объединились для защиты своей безопасности и главных ценностей: свободы, демократии, прав человека и главенства закона.
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 03.12.2005 03:51 |
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хз
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немедленно патентовать!!! ![]() |
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 03.12.2005 05:59 |
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Ritchie
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Это хороший самооучитель для начинающих... | |
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Автор |
Тема: Re: Эврика! Новый подход к описанию ладов!
Время: 03.12.2005 09:25 |
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Москва Вибрафон, перкуссия ![]() ![]() ![]() |
Вампир, срочно спать! | |
Если при столкновении головы и книги происходит глухой стук, то не всегда в этом виновна книга.
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