시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 256 MB 85 46 32 54.237%

문제

과거 카자흐스탄에는 "실크로드"라는 교역로가 있었다.

실크로드는 N + 1 개의 도시가 있고, 서쪽부터 도시 0, 도시 1, ..., 도시 N이다. 도시 i - 1과 도시 i (1 ≦ i ≦ N) 사이의 거리는 Di이다.

무역상인 JOI 군은 도시 0에서 출발하여 도시를 차례로 경유하여 도시 N까지 실크로드를 수행하게 되었다. 도시 0에서 도시 N까지 M 이내에 이동해야한다. JOI 군은 각각의 날에 다음 두 가지 중 하나를 선택한다.

  • 이동 : 현재의 도시에서 동쪽의 도시로 1 일 걸쳐 이동한다. 현재 도시 i - 1 (1 ≦ i ≦ N)에 있다면, 도시 i로 이동합니다.
  • 대기 : 이동하지 않고 현재 도시에서 1 일 대기한다.

그러나, 이동 할 때마다 피로도가 쌓여 간다. 실크로드에서는 매일 날씨변화가 나쁜 정도에 따라 이동에 어려움이 측정된다.

JOI 군은 M 일 중 j 일째 (1 ≦ j ≦ M)의 날씨가 Cj임을 알고있다. 도시 i - 1에서 도시 i (1 ≦ i ≦ N)에 j 일째 (1 ≦ j ≦ M)로 이동하는 경우, 피로도가 Di × Cj 만 쌓여 버린다. 이동하지 않고 기다리는 날은 피로도가 쌓이지 않는다.

JOI 군은 각각의 날에 행동을 잘 선택하여 가능한 피로도를 적게해서 이동하고 싶다. JOI 군이 M 이내에 도시 N으로 이동할 때의 피로도 총합의 최소를 구해라.

입력

입력은 1 + N + M 행으로 구성된다.

첫 번째 줄에는 두 개의 정수 N, M (1 ≦ N ≦ M ≦ 1000)가 공백을 구분으로 쓰여져있다.  이것은 실크로드가 N + 1 개의 도시로 구성되며, JOI 군이 실크를 도시 0에서 도시 N까지 M 이내에 실시해야한다는 것을 나타낸다.

다음 N 라인 중 i 번째 줄 (1 ≦ i ≦ N)에는 정수 Di (1 ≦ Di ≦ 1000)가 적혀있다. 이것은 도시 i - 1과 도시 i 사이의 거리가 Di임을 나타낸다.

다음 M 라인 중 j 번째 줄 (1 ≦ j ≦ M)에는 정수 Cj (1 ≦ Cj ≦ 1000)가 적혀있다. 이것은 j 일째 날씨 나쁨정도가 Cj임을 나타낸다.

출력

JOI 군이 M 이내에 도시 N으로 이동할 때의 피로도 총합의 최소를 한 줄로 출력하라.

예제 입력 1

3 5
10
25
15
50
30
15
40
30

예제 출력 1

1125

예제 입력 2

2 6
99
20
490
612
515
131
931
1000

예제 출력 2

31589

힌트

입출력 예 1에서 쌓이는 피로도의 합계를 최소화하도록 JOI 군이 이동하려면 다음과 같이한다.

  • 1 일째는 대기한다.
  • 2 일째에 도시 0 -> 도시 1로 이동한다. 이 때 쌓이는 피로도는 10 × 30 = 300이다.
  • 3 일째에 도시 1 -> 도시 2로 이동한다. 이 때 쌓이는 피로도는 25 × 15 = 375이다.
  • 4 일째는 대기한다.
  • 5 일째에 도시 2 -> 도시 3로 이동합니다. 이 때 쌓이는 피로도는 15 × 30 = 450이다.

JOI 군이 이렇게 이동 한 경우에 쌓이는 피로도의 합계는 300 + 375 + 450 = 1125이다. 이것이 최소이다.

[{"problem_id":"10710","problem_lang":"0","title":"\uc2e4\ud06c\ub85c\ub4dc","description":"<p>\uacfc\uac70 \uce74\uc790\ud750\uc2a4\ud0c4\uc5d0\ub294&nbsp;&quot;\uc2e4\ud06c\ub85c\ub4dc&quot;\ub77c\ub294 \uad50\uc5ed\ub85c\uac00 \uc788\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uc2e4\ud06c\ub85c\ub4dc\ub294 N + 1 \uac1c\uc758 \ub3c4\uc2dc\uac00 \uc788\uace0, \uc11c\ucabd\ubd80\ud130 \ub3c4\uc2dc 0, \ub3c4\uc2dc 1, ..., \ub3c4\uc2dc N\uc774\ub2e4.&nbsp;\ub3c4\uc2dc i - 1\uacfc \ub3c4\uc2dc i&nbsp;(1 \u2266 i \u2266 N) \uc0ac\uc774\uc758 \uac70\ub9ac\ub294 Di\uc774\ub2e4.<\/p>\r\n\r\n<p>\ubb34\uc5ed\uc0c1\uc778&nbsp;JOI \uad70\uc740 \ub3c4\uc2dc 0\uc5d0\uc11c \ucd9c\ubc1c\ud558\uc5ec \ub3c4\uc2dc\ub97c \ucc28\ub840\ub85c \uacbd\uc720\ud558\uc5ec \ub3c4\uc2dc N\uae4c\uc9c0 \uc2e4\ud06c\ub85c\ub4dc\ub97c \uc218\ud589\ud558\uac8c \ub418\uc5c8\ub2e4. \ub3c4\uc2dc 0\uc5d0\uc11c \ub3c4\uc2dc N\uae4c\uc9c0 M \uc774\ub0b4\uc5d0 \uc774\ub3d9\ud574\uc57c\ud55c\ub2e4. JOI \uad70\uc740 \uac01\uac01\uc758 \ub0a0\uc5d0&nbsp;\ub2e4\uc74c \ub450 \uac00\uc9c0 \uc911&nbsp;\ud558\ub098\ub97c \uc120\ud0dd\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li><strong>\uc774\ub3d9<\/strong> : \ud604\uc7ac\uc758 \ub3c4\uc2dc\uc5d0\uc11c \ub3d9\ucabd\uc758 \ub3c4\uc2dc\ub85c 1 \uc77c \uac78\uccd0 \uc774\ub3d9\ud55c\ub2e4. \ud604\uc7ac \ub3c4\uc2dc i - 1 (1 \u2266 i \u2266 N)\uc5d0 \uc788\ub2e4\uba74, \ub3c4\uc2dc i\ub85c \uc774\ub3d9\ud569\ub2c8\ub2e4.<\/li>\r\n\t<li><strong>\ub300\uae30<\/strong> : \uc774\ub3d9\ud558\uc9c0 \uc54a\uace0 \ud604\uc7ac \ub3c4\uc2dc\uc5d0\uc11c 1 \uc77c \ub300\uae30\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uadf8\ub7ec\ub098,&nbsp;<strong>\uc774\ub3d9&nbsp;<\/strong>\ud560 \ub54c\ub9c8\ub2e4 \ud53c\ub85c\ub3c4\uac00 \uc313\uc5ec \uac04\ub2e4. \uc2e4\ud06c\ub85c\ub4dc\uc5d0\uc11c\ub294&nbsp;\ub9e4\uc77c&nbsp;\ub0a0\uc528\ubcc0\ud654\uac00&nbsp;\ub098\uc05c \uc815\ub3c4\uc5d0 \ub530\ub77c \uc774\ub3d9\uc5d0 \uc5b4\ub824\uc6c0\uc774 \uce21\uc815\ub41c\ub2e4.<\/p>\r\n\r\n<p>JOI \uad70\uc740&nbsp;M \uc77c \uc911 j \uc77c\uc9f8 (1 \u2266 j \u2266 M)\uc758 \ub0a0\uc528\uac00&nbsp;Cj\uc784\uc744 \uc54c\uace0\uc788\ub2e4. \ub3c4\uc2dc i - 1\uc5d0\uc11c \ub3c4\uc2dc i (1 \u2266 i \u2266 N)\uc5d0 j \uc77c\uc9f8 (1 \u2266 j \u2266 M)\ub85c \uc774\ub3d9\ud558\ub294 \uacbd\uc6b0, \ud53c\ub85c\ub3c4\uac00 Di &times; Cj \ub9cc \uc313\uc5ec \ubc84\ub9b0\ub2e4. \uc774\ub3d9\ud558\uc9c0 \uc54a\uace0 \uae30\ub2e4\ub9ac\ub294 \ub0a0\uc740 \ud53c\ub85c\ub3c4\uac00 \uc313\uc774\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>JOI \uad70\uc740 \uac01\uac01\uc758 \ub0a0\uc5d0 \ud589\ub3d9\uc744 \uc798 \uc120\ud0dd\ud558\uc5ec \uac00\ub2a5\ud55c \ud53c\ub85c\ub3c4\ub97c \uc801\uac8c\ud574\uc11c&nbsp;\uc774\ub3d9\ud558\uace0 \uc2f6\ub2e4. JOI \uad70\uc774 M \uc774\ub0b4\uc5d0 \ub3c4\uc2dc N\uc73c\ub85c \uc774\ub3d9\ud560 \ub54c\uc758 \ud53c\ub85c\ub3c4 \ucd1d\ud569\uc758 \ucd5c\uc18c\ub97c \uad6c\ud574\ub77c.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 1 + N + M \ud589\uc73c\ub85c \uad6c\uc131\ub41c\ub2e4.<\/p>\r\n\r\n<p>\uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 \ub450 \uac1c\uc758 \uc815\uc218 N, M (1 \u2266 N \u2266 M \u2266 1000)\uac00 \uacf5\ubc31\uc744 \uad6c\ubd84\uc73c\ub85c \uc4f0\uc5ec\uc838\uc788\ub2e4. &nbsp;\uc774\uac83\uc740 \uc2e4\ud06c\ub85c\ub4dc\uac00 N + 1 \uac1c\uc758 \ub3c4\uc2dc\ub85c \uad6c\uc131\ub418\uba70, JOI \uad70\uc774 \uc2e4\ud06c\ub97c \ub3c4\uc2dc 0\uc5d0\uc11c \ub3c4\uc2dc N\uae4c\uc9c0 M \uc774\ub0b4\uc5d0 \uc2e4\uc2dc\ud574\uc57c\ud55c\ub2e4\ub294 \uac83\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c N \ub77c\uc778 \uc911 i \ubc88\uc9f8 \uc904 (1 \u2266 i \u2266 N)\uc5d0\ub294 \uc815\uc218 Di (1 \u2266 Di \u2266 1000)\uac00 \uc801\ud600\uc788\ub2e4. \uc774\uac83\uc740 \ub3c4\uc2dc i - 1\uacfc \ub3c4\uc2dc i \uc0ac\uc774\uc758 \uac70\ub9ac\uac00 Di\uc784\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c M \ub77c\uc778 \uc911 j \ubc88\uc9f8 \uc904 (1 \u2266 j \u2266 M)\uc5d0\ub294 \uc815\uc218 Cj (1 \u2266 Cj \u2266 1000)\uac00 \uc801\ud600\uc788\ub2e4. \uc774\uac83\uc740 j \uc77c\uc9f8 \ub0a0\uc528 \ub098\uc068\uc815\ub3c4\uac00&nbsp;Cj\uc784\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n","output":"<p>JOI \uad70\uc774 M \uc774\ub0b4\uc5d0 \ub3c4\uc2dc N\uc73c\ub85c \uc774\ub3d9\ud560 \ub54c\uc758 \ud53c\ub85c\ub3c4 \ucd1d\ud569\uc758 \ucd5c\uc18c\ub97c&nbsp;\ud55c \uc904\ub85c \ucd9c\ub825\ud558\ub77c.<\/p>\r\n","hint":"<p>\uc785\ucd9c\ub825 \uc608 1\uc5d0\uc11c \uc313\uc774\ub294 \ud53c\ub85c\ub3c4\uc758 \ud569\uacc4\ub97c \ucd5c\uc18c\ud654\ud558\ub3c4\ub85d JOI \uad70\uc774 \uc774\ub3d9\ud558\ub824\uba74 \ub2e4\uc74c\uacfc \uac19\uc774\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>1 \uc77c\uc9f8\ub294 \ub300\uae30\ud55c\ub2e4.<\/li>\r\n\t<li>2 \uc77c\uc9f8\uc5d0 \ub3c4\uc2dc 0 -&gt;&nbsp;\ub3c4\uc2dc 1\ub85c \uc774\ub3d9\ud55c\ub2e4. \uc774 \ub54c \uc313\uc774\ub294 \ud53c\ub85c\ub3c4\ub294 10 &times; 30 = 300\uc774\ub2e4.<\/li>\r\n\t<li>3 \uc77c\uc9f8\uc5d0 \ub3c4\uc2dc 1 -&gt;&nbsp;\ub3c4\uc2dc 2\ub85c \uc774\ub3d9\ud55c\ub2e4. \uc774 \ub54c \uc313\uc774\ub294 \ud53c\ub85c\ub3c4\ub294 25 &times; 15 = 375\uc774\ub2e4.<\/li>\r\n\t<li>4 \uc77c\uc9f8\ub294 \ub300\uae30\ud55c\ub2e4.<\/li>\r\n\t<li>5 \uc77c\uc9f8\uc5d0 \ub3c4\uc2dc 2 -&gt;&nbsp;\ub3c4\uc2dc 3\ub85c \uc774\ub3d9\ud569\ub2c8\ub2e4. \uc774 \ub54c \uc313\uc774\ub294 \ud53c\ub85c\ub3c4\ub294 15 &times; 30 = 450\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>JOI \uad70\uc774&nbsp;\uc774\ub807\uac8c \uc774\ub3d9 \ud55c \uacbd\uc6b0\uc5d0 \uc313\uc774\ub294 \ud53c\ub85c\ub3c4\uc758 \ud569\uacc4\ub294 300 + 375 + 450 = 1125\uc774\ub2e4. \uc774\uac83\uc774 \ucd5c\uc18c\uc774\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10710","problem_lang":"2","title":"\u30b7\u30eb\u30af\u30ed\u30fc\u30c9","description":"<p>\u73fe\u5728\u30ab\u30b6\u30d5\u30b9\u30bf\u30f3\u304c\u3042\u308b\u5730\u57df\u306b\u306f\uff0c\u53e4\u304f\u306f\u300c\u30b7\u30eb\u30af\u30ed\u30fc\u30c9\u300d\u3068\u547c\u3070\u308c\u308b\u4ea4\u6613\u8def\u304c\u3042\u3063\u305f\uff0e<\/p>\r\n\r\n<p>\u30b7\u30eb\u30af\u30ed\u30fc\u30c9\u4e0a\u306b\u306f N + 1 \u500b\u306e\u90fd\u5e02\u304c\u3042\u308a\uff0c\u897f\u304b\u3089\u9806\u306b\u90fd\u5e02 0, \u90fd\u5e02 1, ... , \u90fd\u5e02 N \u3068\u756a\u53f7\u304c\u3064\u3051\u3089\u308c\u3066\u3044\u308b\uff0e\u90fd\u5e02 i - 1 \u3068\u90fd\u5e02 i \u306e\u9593\u306e\u8ddd\u96e2 (1 \u2266 i \u2266 N) \u306f D<sub>i<\/sub> \u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<p>\u8cbf\u6613\u5546\u3067\u3042\u308b JOI \u541b\u306f\uff0c\u90fd\u5e02 0 \u304b\u3089\u51fa\u767a\u3057\u3066\uff0c\u90fd\u5e02\u3092\u9806\u756a\u306b\u7d4c\u7531\u3057\uff0c\u90fd\u5e02 N \u307e\u3067\u7d79\u3092\u904b\u3076\u3053\u3068\u306b\u306a\u3063\u305f\uff0e\u90fd\u5e02 0 \u304b\u3089\u90fd\u5e02 N \u307e\u3067 M \u65e5\u4ee5\u5185\u306b\u79fb\u52d5\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\uff0eJOI \u541b\u306f\uff0c\u305d\u308c\u305e\u308c\u306e\u65e5\u306e\u884c\u52d5\u3068\u3057\u3066\uff0c\u4ee5\u4e0b\u306e 2 \u3064\u306e\u3046\u3061\u3044\u305a\u308c\u304b 1 \u3064\u3092\u9078\u3076\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>\u79fb\u52d5\uff1a \u73fe\u5728\u306e\u90fd\u5e02\u304b\u3089 1 \u3064\u6771\u306e\u90fd\u5e02\u3078 1 \u65e5\u304b\u3051\u3066\u79fb\u52d5\u3059\u308b\uff0e\u73fe\u5728\u90fd\u5e02 i - 1 (1 \u2266 i \u2266 N) \u306b\u3044\u308b\u5834\u5408\u306f\uff0c\u90fd\u5e02 i \u306b\u79fb\u52d5\u3059\u308b\uff0e<\/li>\r\n\t<li>\u5f85\u6a5f\uff1a \u79fb\u52d5\u3092\u884c\u308f\u305a\uff0c\u73fe\u5728\u3044\u308b\u90fd\u5e02\u3067 1 \u65e5\u5f85\u6a5f\u3059\u308b\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p>\u79fb\u52d5\u306f\u5927\u5909\u3067\u3042\u308a\uff0c\u79fb\u52d5\u3059\u308b\u305f\u3073\u306b\u75b2\u52b4\u5ea6\u304c\u6e9c\u307e\u3063\u3066\u3044\u304f\uff0e\u30b7\u30eb\u30af\u30ed\u30fc\u30c9\u3067\u306f\u65e5\u6bce\u306b\u5929\u5019\u306e\u5909\u52d5\u304c\u3042\u308a\uff0c\u5929\u5019\u304c\u60aa\u3044\u65e5\u307b\u3069\u79fb\u52d5\u306b\u306f\u82e6\u52b4\u3092\u8981\u3059\u308b\uff0e<\/p>\r\n\r\n<p>JOI \u541b\u304c\u7d79\u3092\u904b\u3076\u306e\u306b\u4f7f\u3048\u308b M \u65e5\u9593\u306e\u3046\u3061 j \u65e5\u76ee (1 \u2266 j \u2266 M) \u306e\u5929\u5019\u306e\u60aa\u3055\u306f C<sub>j<\/sub> \u3067\u3042\u308b\u3053\u3068\u304c\u5206\u304b\u3063\u3066\u3044\u308b\uff0e\u90fd\u5e02 i - 1 \u304b\u3089\u90fd\u5e02 i (1 \u2266 i \u2266 N) \u306b j \u65e5\u76ee (1 \u2266 j \u2266 M) \u306b\u79fb\u52d5\u3059\u308b\u5834\u5408\uff0c\u75b2\u52b4\u5ea6\u304c D<sub>i<\/sub> &times; C<sub>j<\/sub> \u3060\u3051\u6e9c\u307e\u3063\u3066\u3057\u307e\u3046\uff0e\u79fb\u52d5\u3092\u884c\u308f\u305a\u5f85\u6a5f\u3057\u3066\u3044\u308b\u65e5\u306f\u75b2\u52b4\u5ea6\u306f\u6e9c\u307e\u3089\u306a\u3044\uff0e<\/p>\r\n\r\n<p>JOI \u541b\u306f\uff0c\u305d\u308c\u305e\u308c\u306e\u65e5\u306e\u884c\u52d5\u3092\u3046\u307e\u304f\u9078\u3076\u3053\u3068\u3067\uff0c\u3067\u304d\u308b\u3060\u3051\u75b2\u52b4\u5ea6\u3092\u6e9c\u3081\u305a\u306b\u79fb\u52d5\u3057\u305f\u3044\uff0eJOI \u541b\u304c M \u65e5\u4ee5\u5185\u306b\u90fd\u5e02 N \u306b\u79fb\u52d5\u3059\u308b\u3068\u304d\u306e\uff0c\u79fb\u52d5\u3092\u958b\u59cb\u3057\u3066\u304b\u3089\u7d42\u4e86\u3059\u308b\u307e\u3067\u306b\u6e9c\u307e\u308b\u75b2\u52b4\u5ea6\u306e\u5408\u8a08\u306e\u6700\u5c0f\u5024\u3092\u6c42\u3081\u3088\uff0e<\/p>\r\n","input":"<p>\u5165\u529b\u306f 1 + N + M \u884c\u304b\u3089\u306a\u308b\uff0e<\/p>\r\n\r\n<p>1 \u884c\u76ee\u306b\u306f\uff0c2 \u3064\u306e\u6574\u6570 N, M (1 \u2266 N \u2266 M \u2266 1000) \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0c\u30b7\u30eb\u30af\u30ed\u30fc\u30c9\u304c N + 1 \u500b\u306e\u90fd\u5e02\u304b\u3089\u306a\u308a\uff0cJOI \u541b\u304c\u7d79\u3092\u90fd\u5e02 0 \u304b\u3089\u90fd\u5e02 N \u307e\u3067 M \u65e5\u4ee5\u5185\u306b\u904b\u3070\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3053\u3068\u3092\u8868\u3059\uff0e<\/p>\r\n\r\n<p>\u7d9a\u304f N \u884c\u306e\u3046\u3061\u306e i \u884c\u76ee (1 \u2266 i \u2266 N) \u306b\u306f\uff0c\u6574\u6570 D<sub>i<\/sub> (1 \u2266 D<sub>i<\/sub> \u2266 1000) \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0c\u90fd\u5e02 i - 1 \u3068\u90fd\u5e02 i \u306e\u9593\u306e\u8ddd\u96e2\u304c D<sub>i<\/sub> \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/p>\r\n\r\n<p>\u7d9a\u304f M \u884c\u306e\u3046\u3061\u306e j \u884c\u76ee (1 \u2266 j \u2266 M) \u306b\u306f\uff0c\u6574\u6570 C<sub>j<\/sub> (1 \u2266 C<sub>j<\/sub> \u2266 1000) \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0cj \u65e5\u76ee\u306e\u5929\u5019\u306e\u60aa\u3055\u304c C<sub>j<\/sub> \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/p>\r\n","output":"<p>JOI \u541b\u304c M \u65e5\u4ee5\u5185\u306b\u90fd\u5e02 N \u306b\u79fb\u52d5\u3059\u308b\u3068\u304d\u306e\uff0c\u79fb\u52d5\u3092\u958b\u59cb\u3057\u3066\u304b\u3089\u7d42\u4e86\u3059\u308b\u307e\u3067\u306b\u6e9c\u307e\u308b\u75b2\u52b4\u5ea6\u306e\u5408\u8a08\u306e\u6700\u5c0f\u5024\u3092 1 \u884c\u3067\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"<p>\u5165\u51fa\u529b\u4f8b 1 \u306b\u304a\u3044\u3066\uff0c\u6e9c\u307e\u308b\u75b2\u52b4\u5ea6\u306e\u5408\u8a08\u3092\u6700\u5c0f\u306b\u3059\u308b\u3088\u3046\u306b JOI \u541b\u304c\u79fb\u52d5\u3059\u308b\u306b\u306f\u6b21\u306e\u3088\u3046\u306b\u3059\u308b\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u65e5\u76ee\u306f\u5f85\u6a5f\u3059\u308b\uff0e<\/li>\r\n\t<li>2 \u65e5\u76ee\u306b\u90fd\u5e02 0 \u304b\u3089\u90fd\u5e02 1 \u3078\u79fb\u52d5\u3059\u308b\uff0e\u3053\u306e\u3068\u304d\u6e9c\u307e\u308b\u75b2\u52b4\u5ea6\u306f 10 &times; 30 = 300 \u3067\u3042\u308b\uff0e<\/li>\r\n\t<li>3 \u65e5\u76ee\u306b\u90fd\u5e02 1 \u304b\u3089\u90fd\u5e02 2 \u3078\u79fb\u52d5\u3059\u308b\uff0e\u3053\u306e\u3068\u304d\u6e9c\u307e\u308b\u75b2\u52b4\u5ea6\u306f 25 &times; 15 = 375 \u3067\u3042\u308b\uff0e<\/li>\r\n\t<li>4 \u65e5\u76ee\u306f\u5f85\u6a5f\u3059\u308b\uff0e<\/li>\r\n\t<li>5 \u65e5\u76ee\u306b\u90fd\u5e02 2 \u304b\u3089\u90fd\u5e02 3 \u3078\u79fb\u52d5\u3059\u308b\uff0e\u3053\u306e\u3068\u304d\u6e9c\u307e\u308b\u75b2\u52b4\u5ea6\u306f 15 &times; 30 = 450 \u3067\u3042\u308b\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p>JOI \u541b\u304c\u3053\u306e\u3088\u3046\u306b\u79fb\u52d5\u3057\u305f\u5834\u5408\u306b\u6e9c\u307e\u308b\u75b2\u52b4\u5ea6\u306e\u5408\u8a08\u306f 300 + 375 + 450 = 1125 \u3067\u3042\u308b\uff0e\u3053\u308c\u304c\u6700\u5c0f\u5024\u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<p>\u203b\u5404\u5165\u51fa\u529b\u4f8b\u306e\u30c7\u30fc\u30bf\u306f\uff0c\u53f3\u30af\u30ea\u30c3\u30af\u7b49\u306b\u3088\u308a\u30d5\u30a1\u30a4\u30eb\u306b\u4fdd\u5b58\u3057\u3066\u5229\u7528\u53ef\u80fd\u3067\u3059\uff0e<\/p>\r\n","original":"1","problem_lang_code":"\uc77c\ubcf8\uc5b4"}]