문제
준혁이는 1ドル$부터 $N$까지의 수가 적힌 공을 각각 $M$개씩 가지고 있다. 그리고 같은 숫자가 적힌 $M$개의 공들은 모두 색이 다르다. 준혁이는 $N$의 약수 중 $K$를 하나 정하고 자신이 가진 $N\times M$개의 공들 중 한 개 이상의 공을 뽑아 적힌 수의 합이 $K$의 배수가 되도록 하는 경우의 수를 구하고자 한다.
준혁이가 뽑은 공들 중 하나라도 색깔 혹은 적힌 수가 다르면 다른 경우로 센다.
출력
준혁이가 공들에 적힌 수들의 합이 $K$의 배수가 되도록 한 개 이상의 공을 뽑는 경우의 수를 10ドル^9+7$로 나눈 나머지를 출력한다.
단, 10ドル^9+7$은 소수이다.
서브태스크
| 번호 | 배점 | 제한 | | 1 | 26 | $K=1$
|
| 2 | 74 | $K \le 2$
|
| 3 | 28 | $N \times M \le 20$
|
| 4 | 82 | $N, M \le 300$
|
| 5 | 190 | 추가적인 제한 조건 없음
|
편의상 1ドル$부터 4ドル$까지 적힌 빨간색 공이 한 개씩 있다고 하자. 이 중 한 개 이상의 공을 뽑아 1ドル$의 배수가 되는 경우는 다음과 같이 4ドル+4+2+2+2+1=15$가지이다.
- 합이 1ドル,ドル 2ドル,ドル 3ドル$인 경우 4ドル$가지
- 합이 4ドル,ドル 5ドル$인 경우 4ドル$가지
- 합이 8ドル,ドル 9ドル$인 경우 2ドル$가지
편의상 1ドル$부터 4ドル$까지 적힌 빨간색 공이 한 개 씩 있다고 하자. 이 중 한 개 이상의 공을 뽑아 2ドル$의 배수가 되는 경우는 다음과 같이 3ドル+2+2=7$가지이다.
- 합이 2ドル,ドル 4ドル$인 경우 3ドル$가지
- 합이 8ドル,ドル 10ドル$인 경우 2ドル$가지
편의상 1ドル$부터 3ドル$까지 적힌 빨간색, 파란색 공이 각각 한 개씩 있다고 하자. 이 중 한 개 이상의 공을 뽑아 3ドル$의 배수가 되는 경우는 다음과 같이 6ドル+10+6+1=23$가지이다.
[{"problem_id":"31544","problem_lang":"0","title":"K\uc758 \ubc30\uc218 Extreme","description":"<p>\uc900\ud601\uc774\ub294 $1$\ubd80\ud130 $N$\uae4c\uc9c0\uc758 \uc218\uac00 \uc801\ud78c \uacf5\uc744 \uac01\uac01 $M$\uac1c\uc529 \uac00\uc9c0\uace0 \uc788\ub2e4. \uadf8\ub9ac\uace0 \uac19\uc740 \uc22b\uc790\uac00 \uc801\ud78c $M$\uac1c\uc758 \uacf5\ub4e4\uc740 \ubaa8\ub450 \uc0c9\uc774 \ub2e4\ub974\ub2e4. \uc900\ud601\uc774\ub294 $N$\uc758 \uc57d\uc218 \uc911 $K$\ub97c \ud558\ub098 \uc815\ud558\uace0 \uc790\uc2e0\uc774 \uac00\uc9c4 $N\\times M$\uac1c\uc758 \uacf5\ub4e4 \uc911 \ud55c \uac1c \uc774\uc0c1\uc758 \uacf5\uc744 \ubf51\uc544 \uc801\ud78c \uc218\uc758 \ud569\uc774 $K$\uc758 \ubc30\uc218\uac00 \ub418\ub3c4\ub85d \ud558\ub294 \uacbd\uc6b0\uc758 \uc218\ub97c \uad6c\ud558\uace0\uc790 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc900\ud601\uc774\uac00 \ubf51\uc740 \uacf5\ub4e4 \uc911 \ud558\ub098\ub77c\ub3c4 \uc0c9\uae54 \ud639\uc740 \uc801\ud78c \uc218\uac00 \ub2e4\ub974\uba74 \ub2e4\ub978 \uacbd\uc6b0\ub85c \uc13c\ub2e4.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \uc815\uc218 $N$, $M$, $K$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $(1\\le N, M, K\\le 10^6)$<\/p>\r\n","output":"<p>\uc900\ud601\uc774\uac00 \uacf5\ub4e4\uc5d0 \uc801\ud78c \uc218\ub4e4\uc758 \ud569\uc774 $K$\uc758 \ubc30\uc218\uac00 \ub418\ub3c4\ub85d \ud55c \uac1c \uc774\uc0c1\uc758 \uacf5\uc744 \ubf51\ub294 \uacbd\uc6b0\uc758 \uc218\ub97c $10^9+7$\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4. <\/p>\r\n\r\n<p>\ub2e8, $10^9+7$\uc740 \uc18c\uc218\uc774\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","subtask1":"<p>$K=1$<\/p>\r\n","subtask2":"<p>$K \\le 2$<\/p>\r\n","subtask3":"<p>$N \\times M \\le 20$<\/p>\r\n","subtask4":"<p>$N, M \\le 300$<\/p>\r\n","subtask5":"<p>\ucd94\uac00\uc801\uc778 \uc81c\ud55c \uc870\uac74 \uc5c6\uc74c<\/p>\r\n","sample_explain_1":"<p>\ud3b8\uc758\uc0c1 $1$\ubd80\ud130 $4$\uae4c\uc9c0 \uc801\ud78c \ube68\uac04\uc0c9 \uacf5\uc774 \ud55c \uac1c\uc529 \uc788\ub2e4\uace0 \ud558\uc790. \uc774 \uc911 \ud55c \uac1c \uc774\uc0c1\uc758 \uacf5\uc744 \ubf51\uc544 $1$\uc758 \ubc30\uc218\uac00 \ub418\ub294 \uacbd\uc6b0\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 $4+4+2+2+2+1=15$\uac00\uc9c0\uc774\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $1$, $2$, $3$\uc778 \uacbd\uc6b0 $4$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/42abd14d-1867-4b36-b3cd-c1175af62803\/-\/preview\/\" style=\"width: 109px; height: 80px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/eb21477a-d6b0-4aaf-b147-85118b9b5c71\/-\/preview\/\" style=\"width: 109px; height: 80px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/70c642e7-9809-467c-b75c-cffb1f0a9982\/-\/preview\/\" style=\"width: 295px; height: 80px;\" \/> <\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $4$, $5$\uc778 \uacbd\uc6b0 $4$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/69105157-050c-4a6d-a158-81ff78d55f7c\/-\/preview\/\" style=\"width: 295px; height: 80px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/57010b40-6c61-422f-83d3-eae77208c386\/-\/preview\/\" style=\"width: 378px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $6$\uc778 \uacbd\uc6b0 $2$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/bea9277d-05a6-4e7d-9736-2c2013939628\/-\/preview\/\" style=\"width: 461px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $7$\uc778 \uacbd\uc6b0 $2$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/d6cdc328-b21d-42be-aea8-35cf0f2fc697\/-\/preview\/\" style=\"width: 461px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $8$, $9$\uc778 \uacbd\uc6b0 $2$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/8ec1132b-66d7-44fc-b9dd-f6142d31364a\/-\/preview\/\" style=\"width: 274px; height: 80px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/119f902c-d6d8-4f5a-96f9-2962b2c14a34\/-\/preview\/\" style=\"width: 274px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $10$\uc778 \uacbd\uc6b0 $1$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/307c4e2c-b666-4f17-b722-0d0a5f8a0441\/-\/preview\/\" style=\"width: 356px; height: 80px;\" \/><\/p>\r\n","sample_explain_2":"<p>\ud3b8\uc758\uc0c1 $1$\ubd80\ud130 $4$\uae4c\uc9c0 \uc801\ud78c \ube68\uac04\uc0c9 \uacf5\uc774 \ud55c \uac1c \uc529 \uc788\ub2e4\uace0 \ud558\uc790. \uc774 \uc911 \ud55c \uac1c \uc774\uc0c1\uc758 \uacf5\uc744 \ubf51\uc544 $2$\uc758 \ubc30\uc218\uac00 \ub418\ub294 \uacbd\uc6b0\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 $3+2+2=7$\uac00\uc9c0\uc774\ub2e4.<\/p>\r\n\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $2$, $4$\uc778 \uacbd\uc6b0 $3$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/eb21477a-d6b0-4aaf-b147-85118b9b5c71\/-\/preview\/\" style=\"width: 109px; height: 80px;\" \/>  <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/69105157-050c-4a6d-a158-81ff78d55f7c\/-\/preview\/\" style=\"width: 295px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $6$\uc778 \uacbd\uc6b0 $2$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/bea9277d-05a6-4e7d-9736-2c2013939628\/-\/preview\/\" style=\"width: 461px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $8$, $10$\uc778 \uacbd\uc6b0 $2$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/8ec1132b-66d7-44fc-b9dd-f6142d31364a\/-\/preview\/\" style=\"width: 274px; height: 80px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/307c4e2c-b666-4f17-b722-0d0a5f8a0441\/-\/preview\/\" style=\"width: 356px; height: 80px;\" \/><\/p>\r\n","sample_explain_3":"<p>\ud3b8\uc758\uc0c1 $1$\ubd80\ud130 $3$\uae4c\uc9c0 \uc801\ud78c \ube68\uac04\uc0c9, \ud30c\ub780\uc0c9 \uacf5\uc774 \uac01\uac01 \ud55c \uac1c\uc529 \uc788\ub2e4\uace0 \ud558\uc790. \uc774 \uc911 \ud55c \uac1c \uc774\uc0c1\uc758 \uacf5\uc744 \ubf51\uc544 $3$\uc758 \ubc30\uc218\uac00 \ub418\ub294 \uacbd\uc6b0\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 $6+10+6+1=23$\uac00\uc9c0\uc774\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $3$\uc778 \uacbd\uc6b0 $6$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/da958402-ed94-4951-9e66-969df6f465bb\/-\/preview\/\" style=\"width: 491px; height: 160px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $6$\uc778 \uacbd\uc6b0 $10$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/edc977d7-b07b-43f5-8276-40f047985125\/-\/preview\/\" style=\"width: 552px; height: 400px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $9$\uc778 \uacbd\uc6b0 $6$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/fb0b88f7-e065-4ca5-bc4d-133cb3eb4481\/-\/preview\/\" style=\"width: 430px; height: 480px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>\ud569\uc774 $12$\uc778 \uacbd\uc6b0 $1$\uac00\uc9c0<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/93dccc51-fa31-47e5-9360-70b4052bf5f7\/-\/preview\/\" style=\"width: 488px; height: 80px;\" \/><\/p>\r\n"},{"problem_id":"31544","problem_lang":"1","title":"Multiple of K Extreme","description":"<p>Junhyeok has $M$ balls for each number from $1$ to $N$. The $M$ balls with a same number written on it are all different in color. Junhyeok chooses $K$, which is one of the divisors of $N$, and wants to find the number of cases in which he chooses one or more of his $N\\times M$ balls so that the sum of the number written in each ball is a multiple of $K$.<\/p>\r\n\r\n<p>If at least one ball has a different color or a different number written, it is counted as a different case.<\/p>\r\n","input":"<p>The first line contains three integers $N$, $M$, and $K$, separated by spaces $(1\\le N,M,K\\le 10^6)$.<\/p>\r\n","output":"<p>Output a single integer &ndash; the remainder of the total number of cases in which Junhyeok chooses one or more of the balls so that the sum of the number written in each ball is a multiple of $K$, divided by $10^9+7$.<\/p>\r\n\r\n<p>Note that $10^9+7$ is a prime number.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","subtask1":"<p>$K=1$<\/p>\r\n","subtask2":"<p>$K&nbsp;\\le 2$<\/p>\r\n","subtask3":"<p>$N&nbsp;\\times M&nbsp;\\le 20$<\/p>\r\n","subtask4":"<p>$N, M&nbsp;\\le 300$<\/p>\r\n","subtask5":"<p>There are no additional restrictions.<\/p>\r\n","sample_explain_1":"<p>Suppose there are $4$ red balls, written from $1$ to $4$. There are $4+4+2+2+2+1=15$ cases in which one or more of these balls are chosen and the sum of the numbers is a multiple of $1$ as follows.<\/p>\r\n\r\n<ul>\r\n\t<li>$4$ total cases with a sum of $1$, $2$, or $3$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/42abd14d-1867-4b36-b3cd-c1175af62803\/-\/preview\/\" style=\"width: 109px; height: 80px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/eb21477a-d6b0-4aaf-b147-85118b9b5c71\/-\/preview\/\" style=\"width: 109px; height: 80px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/70c642e7-9809-467c-b75c-cffb1f0a9982\/-\/preview\/\" style=\"width: 295px; height: 80px;\" \/> <\/p>\r\n\r\n<ul>\r\n\t<li>$5$ total cases with a sum of $4$ or $5$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/69105157-050c-4a6d-a158-81ff78d55f7c\/-\/preview\/\" style=\"width: 295px; height: 80px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/57010b40-6c61-422f-83d3-eae77208c386\/-\/preview\/\" style=\"width: 378px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>$2$ total cases with a sum of $6$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/bea9277d-05a6-4e7d-9736-2c2013939628\/-\/preview\/\" style=\"width: 461px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>$2$ total cases with a sum of $7$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/d6cdc328-b21d-42be-aea8-35cf0f2fc697\/-\/preview\/\" style=\"width: 461px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>$2$ total cases with a sum of $8$ or $9$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/8ec1132b-66d7-44fc-b9dd-f6142d31364a\/-\/preview\/\" style=\"width: 274px; height: 80px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/119f902c-d6d8-4f5a-96f9-2962b2c14a34\/-\/preview\/\" style=\"width: 274px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>$1$ total case with a sum of $10$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/307c4e2c-b666-4f17-b722-0d0a5f8a0441\/-\/preview\/\" style=\"width: 356px; height: 80px;\" \/><\/p>\r\n","sample_explain_2":"<p>Suppose there are $4$ red balls, written from $1$ to $4$. There are $3+2+2=7$ cases in which one or more of these balls are chosen and the sum of the numbers is a multiple of $2$ as follows.<\/p>\r\n\r\n<ul>\r\n\t<li>$3$ total cases with a sum of $2$ or $4$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/eb21477a-d6b0-4aaf-b147-85118b9b5c71\/-\/preview\/\" style=\"width: 109px; height: 80px;\" \/>  <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/69105157-050c-4a6d-a158-81ff78d55f7c\/-\/preview\/\" style=\"width: 295px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>$2$ total cases with a sum of $6$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/bea9277d-05a6-4e7d-9736-2c2013939628\/-\/preview\/\" style=\"width: 461px; height: 80px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>$2$ total cases with a sum of $8$ or $10$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/8ec1132b-66d7-44fc-b9dd-f6142d31364a\/-\/preview\/\" style=\"width: 274px; height: 80px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/307c4e2c-b666-4f17-b722-0d0a5f8a0441\/-\/preview\/\" style=\"width: 356px; height: 80px;\" \/><\/p>\r\n","sample_explain_3":"<p>Suppose there are $3$ red balls and $3$ blue balls, written from $1$ to $3$ for each color. There are $23$ cases in which one or more of these balls are chosen and the sum of the numbers is a multiple of $3$ as follows.<\/p>\r\n\r\n<ul>\r\n\t<li>$6$ total cases with a sum of $3$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/da958402-ed94-4951-9e66-969df6f465bb\/-\/preview\/\" style=\"width: 491px; height: 160px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>$10$ total cases with a sum of $6$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/edc977d7-b07b-43f5-8276-40f047985125\/-\/preview\/\" style=\"width: 552px; height: 400px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>$6$ total cases with a sum of $9$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/fb0b88f7-e065-4ca5-bc4d-133cb3eb4481\/-\/preview\/\" style=\"width: 430px; height: 480px;\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>$1$ total case with a sum of $12$<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\">\u200b\u200b\u200b\u200b\u200b\u200b\u200b<img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/93dccc51-fa31-47e5-9360-70b4052bf5f7\/-\/preview\/\" style=\"width: 488px; height: 80px;\" \/><\/p>\r\n"}]