시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 249 90 77 48.125%

문제

상근이가 사는 도시는 남북 방향으로 도로가 w개, 동서 방향으로 도로가 h개 있다. 

남북 방향 도로는 서쪽부터 순서대로 번호가 1, 2, ..., w로 매겨져 있다. 또, 동서 방향 도로는 남쪽부터 순서대로 번호가 1, 2, ..., h로 매겨져 있다. 서쪽에서 i번째 남북 방향 도로와 남쪽에서 j번째 동서 방향 도로가 만나는 교차로는 (i, j)이다.

상근이는 교차로 (1, 1)에 살고 있고, 교차로 (w, h)에 있는 회사에 차로 다니고 있다. 차는 도로로만 이동할 수 있다. 상근이는 회사에 최대한 빨리 가기 위해서, 동쪽 또는 북쪽으로만 이동할 수 있다. 또, 이 도시는 교통 사고를 줄이기 위해서 교차로를 돈 차량은 그 다음 교차로에서 다시 방향을 바꿀 수 없다. 즉, 교차로에서 방향을 바꾼 후, 1 블록만 이동한 후 다시 방향을 바꿀 수 없다.

상근이가 회사에 출근할 수 있는 경로의 수는 몇 가지 일까?

w와 h가 주어졌을 때, 가능한 출근 경로의 개수를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 w와 h가 주어진다. (2 ≤ w, h ≤ 100)

출력

첫째 줄에 상근이가 출근할 수 있는 경로의 개수를 100000로 나눈 나머지를 출력한다.

예제 입력 1

3 4

예제 출력 1

5

힌트

[{"problem_id":"5569","problem_lang":"0","title":"\ucd9c\uadfc \uacbd\ub85c","description":"<p>\r\n\t\uc0c1\uadfc\uc774\uac00 \uc0ac\ub294 \ub3c4\uc2dc\ub294 \ub0a8\ubd81 \ubc29\ud5a5\uc73c\ub85c \ub3c4\ub85c\uac00 w\uac1c, \ub3d9\uc11c \ubc29\ud5a5\uc73c\ub85c \ub3c4\ub85c\uac00 h\uac1c \uc788\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\r\n\t\ub0a8\ubd81 \ubc29\ud5a5 \ub3c4\ub85c\ub294 \uc11c\ucabd\ubd80\ud130 \uc21c\uc11c\ub300\ub85c \ubc88\ud638\uac00 1, 2, ..., w\ub85c \ub9e4\uaca8\uc838 \uc788\ub2e4. \ub610, \ub3d9\uc11c \ubc29\ud5a5 \ub3c4\ub85c\ub294 \ub0a8\ucabd\ubd80\ud130 \uc21c\uc11c\ub300\ub85c \ubc88\ud638\uac00 1, 2, ..., h\ub85c \ub9e4\uaca8\uc838 \uc788\ub2e4. \uc11c\ucabd\uc5d0\uc11c i\ubc88\uc9f8 \ub0a8\ubd81 \ubc29\ud5a5 \ub3c4\ub85c\uc640 \ub0a8\ucabd\uc5d0\uc11c j\ubc88\uc9f8 \ub3d9\uc11c \ubc29\ud5a5 \ub3c4\ub85c\uac00 \ub9cc\ub098\ub294 \uad50\ucc28\ub85c\ub294 (i, j)\uc774\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc0c1\uadfc\uc774\ub294 \uad50\ucc28\ub85c (1, 1)\uc5d0 \uc0b4\uace0 \uc788\uace0, \uad50\ucc28\ub85c (w, h)\uc5d0 \uc788\ub294 \ud68c\uc0ac\uc5d0 \ucc28\ub85c \ub2e4\ub2c8\uace0 \uc788\ub2e4. \ucc28\ub294 \ub3c4\ub85c\ub85c\ub9cc \uc774\ub3d9\ud560 \uc218 \uc788\ub2e4. \uc0c1\uadfc\uc774\ub294 \ud68c\uc0ac\uc5d0 \ucd5c\ub300\ud55c \ube68\ub9ac \uac00\uae30 \uc704\ud574\uc11c, \ub3d9\ucabd \ub610\ub294 \ubd81\ucabd\uc73c\ub85c\ub9cc \uc774\ub3d9\ud560 \uc218 \uc788\ub2e4. \ub610, \uc774 \ub3c4\uc2dc\ub294 \uad50\ud1b5 \uc0ac\uace0\ub97c \uc904\uc774\uae30 \uc704\ud574\uc11c \uad50\ucc28\ub85c\ub97c \ub3c8 \ucc28\ub7c9\uc740 \uadf8 \ub2e4\uc74c \uad50\ucc28\ub85c\uc5d0\uc11c \ub2e4\uc2dc \ubc29\ud5a5\uc744 \ubc14\uafc0 \uc218 \uc5c6\ub2e4. \uc989, \uad50\ucc28\ub85c\uc5d0\uc11c \ubc29\ud5a5\uc744 \ubc14\uafbc \ud6c4, 1 \ube14\ub85d\ub9cc \uc774\ub3d9\ud55c \ud6c4 \ub2e4\uc2dc \ubc29\ud5a5\uc744 \ubc14\uafc0 \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc0c1\uadfc\uc774\uac00 \ud68c\uc0ac\uc5d0 \ucd9c\uadfc\ud560 \uc218 \uc788\ub294 \uacbd\ub85c\uc758 \uc218\ub294 \uba87 \uac00\uc9c0 \uc77c\uae4c?<\/p>\r\n\r\n<p>\r\n\tw\uc640 h\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uac00\ub2a5\ud55c \ucd9c\uadfc \uacbd\ub85c\uc758 \uac1c\uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\r\n\t\uccab\uc9f8 \uc904\uc5d0 w\uc640 h\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (2 &le; w, h &le; 100)<\/p>\r\n","output":"<p>\r\n\t\uccab\uc9f8 \uc904\uc5d0 \uc0c1\uadfc\uc774\uac00 \ucd9c\uadfc\ud560 \uc218 \uc788\ub294 \uacbd\ub85c\uc758 \uac1c\uc218\ub97c 100000\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/path.png\" style=\"width: 332px; height: 293px;\" \/><\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"5569","problem_lang":"2","title":"\u901a\u52e4\u7d4c\u8def","description":"<p>JOI\u3055\u3093\u304c\u4f4f\u3080\u30ab\u30ca\u30c0\u306e\u3042\u308b\u90fd\u5e02\u306f\uff0c\u5357\u5317\u65b9\u5411\u306b\u307e\u3063\u3059\u3050\u306b\u4f38\u3073\u308b w \u672c\u306e\u9053\u8def\u3068\uff0c\u6771\u897f\u65b9\u5411\u306b\u307e\u3063\u3059\u3050\u306b\u4f38\u3073\u308b h \u672c\u306e\u9053\u8def\u306b\u3088\u308a\uff0c\u7881\u76e4\u306e\u76ee\u306e\u5f62\u306b\u533a\u5206\u3051\u3055\u308c\u3066\u3044\u308b\uff0e<\/p>\r\n\r\n<p>\u5357\u5317\u65b9\u5411\u306e w \u672c\u306e\u9053\u8def\u306b\u306f\uff0c\u897f\u304b\u3089\u9806\u306b 1, 2, ... , w \u306e\u756a\u53f7\u304c\u4ed8\u3051\u3089\u308c\u3066\u3044\u308b\uff0e\u307e\u305f\uff0c\u6771\u897f\u65b9\u5411\u306e h \u672c\u306e\u9053\u8def\u306b\u306f\uff0c\u5357\u304b\u3089\u9806\u306b 1, 2, ... , h \u306e\u756a\u53f7\u304c\u4ed8\u3051\u3089\u308c\u3066\u3044\u308b\uff0e\u897f\u304b\u3089 i \u756a\u76ee\u306e\u5357\u5317\u65b9\u5411\u306e\u9053\u8def\u3068\uff0c\u5357\u304b\u3089 j \u756a\u76ee\u306e\u6771\u897f\u65b9\u5411\u306e\u9053\u8def\u304c\u4ea4\u308f\u308b\u4ea4\u5dee\u70b9\u3092 (i, j) \u3067\u8868\u3059\uff0e<\/p>\r\n\r\n<p>JOI\u3055\u3093\u306f\uff0c\u4ea4\u5dee\u70b9 (1, 1) \u306e\u8fd1\u304f\u306b\u4f4f\u3093\u3067\u304a\u308a\uff0c\u4ea4\u5dee\u70b9 (w, h) \u306e\u8fd1\u304f\u306e\u4f1a\u793e\u306b\u8eca\u3067\u901a\u3063\u3066\u3044\u308b\uff0e\u8eca\u306f\u9053\u8def\u306b\u6cbf\u3063\u3066\u306e\u307f\u79fb\u52d5\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0eJOI\u3055\u3093\u306f\uff0c\u901a\u52e4\u6642\u9593\u3092\u77ed\u304f\u3059\u308b\u305f\u3081\uff0c\u6771\u307e\u305f\u306f\u5317\u306b\u306e\u307f\u5411\u304b\u3063\u3066\u79fb\u52d5\u3057\u3066\u901a\u52e4\u3057\u3066\u3044\u308b\uff0e\u307e\u305f\uff0c\u3053\u306e\u90fd\u5e02\u3067\u306f\uff0c\u4ea4\u901a\u4e8b\u6545\u3092\u6e1b\u3089\u3059\u305f\u3081\u306b\uff0c\u6b21\u306e\u3088\u3046\u306a\u4ea4\u901a\u898f\u5247\u304c\u8a2d\u3051\u3089\u308c\u3066\u3044\u308b\uff1a<\/p>\r\n\r\n<ul>\r\n\t<li>\u4ea4\u5dee\u70b9\u3092\u66f2\u304c\u3063\u305f\u8eca\u306f\uff0c\u305d\u306e\u76f4\u5f8c\u306e\u4ea4\u5dee\u70b9\u3067\u66f2\u304c\u308b\u3053\u3068\u306f\u51fa\u6765\u306a\u3044\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p>\u3059\u306a\u308f\u3061\uff0c\u4ea4\u5dee\u70b9\u3067\u66f2\u304c\u3063\u305f\u3042\u3068\u306b1\u30d6\u30ed\u30c3\u30af\u3060\u3051\u9032\u3093\u3067\u518d\u3073\u66f2\u304c\u308b\u3053\u3068\u306f\u8a31\u3055\u308c\u306a\u3044\uff0e\u3053\u306e\u3068\u304d\uff0cJOI\u3055\u3093\u306e\u901a\u52e4\u7d4c\u8def\u306f\u4f55\u901a\u308a\u8003\u3048\u3089\u308c\u308b\u3060\u308d\u3046\u304b\uff0e<\/p>\r\n\r\n<p>w \u3068 h \u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0cJOI\u3055\u3093\u306e\u901a\u52e4\u7d4c\u8def\u306e\u500b\u6570\u3092 100000 \u3067\u5272\u3063\u305f\u4f59\u308a\u3092\u51fa\u529b\u3059\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e<\/p>\r\n","input":"<p>\u5165\u529b\u30d5\u30a1\u30a4\u30eb\u306f1\u884c\u304b\u3089\u306a\u308a\uff0c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u30662\u500b\u306e\u6574\u6570 w, h (2 \u2266 w \u2266 100\uff0c 2 \u2266 h \u2266 100) \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e w \u306f\u5357\u5317\u65b9\u5411\u306e\u9053\u8def\u306e\u672c\u6570\uff0c h \u306f\u6771\u897f\u65b9\u5411\u306e\u9053\u8def\u306e\u672c\u6570\u3092\u8868\u3059\uff0e<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","output":"<p>\u51fa\u529b\u306f\uff0cJOI\u3055\u3093\u306e\u901a\u52e4\u7d4c\u8def\u306e\u500b\u6570\u3092 100000 \u3067\u5272\u3063\u305f\u4f59\u308a\u3060\u3051\u3092\u542b\u30801\u884c\u304b\u3089\u306a\u308b\uff0e<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","hint":"<p><img alt=\"\" src=\"\/upload\/images\/path.png\" style=\"height:293px; opacity:0.9; width:332px\" \/><\/p>\r\n","original":"1","problem_lang_code":"\uc77c\ubcf8\uc5b4"}]