시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

먼 옛날, IOI 문명이라는 고도의 문명이 번성했다. 그러나 화산 분화로 인해이 고도의 문명은 결국 망하고 말았다. IOI 문명은 직선 모양의 하천을 따라 번영하였고, IOI 문명이 멸망했을 때, 그 지표면은 평평했다. IOI 문명의 유적지는 좌표 평면의 x축으로 간주할 수있다. y축은 높이 방향을 나타낸다. 즉, 좌표 평면에서, 직선 y = 0 은 지표를, 영역 y > 0 은 지상을, 영역 y < 0 은 지하를 나타낸다. 또한 IOI 문명이 멸망했을 때, a 년전 (a ≧ 0) 지층은 직선 y = -a 의 위치에 있었다.

IOI 문명이 멸망한 후 IOI 문명의 유적지에서는 Q 번의 지각 변동이 일어났다. i 번째 (1 ≦ i ≦ Q)의 지각 변동은 위치 Xi, 방향 Di, 변동의 양 Li로 표현된다. Di는 1 또는 2이다. i번째의 지각 변동은 다음과 같이 일어난다.

  • 지층의 이동이 다음과 같이 일어난다.
    • Di = 1 일 때, 단층이 점 (Xi, 0)을 지나는 기울기 1의 직선을 따라 만들어져, 이 직선보다 위쪽의 영역에 있는 지층이, 직선을 따라 높이 Li만큼 이동한다. 즉, 이 직선보다 위쪽에 있는 점 (x, y)는 점 (x + Li, y + Li)로 이동한다.
    • Di = 2 일 때, 단층이 점 (Xi, 0)을 지나는 기울기 -1의 직선을 따라 만들어져, 이 직선보다 위쪽의 영역에 있는 지층이, 직선을 따라 높이 Li만큼 이동한다. 즉, 이 직선보다 위쪽에 있는 점 (x, y)는 점 (x - Li, y + Li)로 이동한다.
  • 그 직후, 영역 y > 0 의 지층이 풍화에 의해 모두 사라진다.

시간이 흘러 현대에, 고고학자 JOI 박사는 IOI 문명의 유적을 발굴하기로했다. JOI 박사는 어느 위치의 표면의 지층이 IOI 문명이 멸망하기 몇 년전의 지층인지 알고 싶다. 그동안 어떤 지각 변동이 일어났는지는 알고 있다. 당신의 작업은 JOI 박사를 대신하여 1 ≦ i ≦ N 을 만족하는 각각의 정수 i에 대해, 점 (i-1, 0)과 점 (i, 0) 사이의 표면의 지층이 IOI 문명이 멸망하기 몇 년 전의 지층인가를 알아내는 것이다.

IOI 문명의 유적지에 일어난 지각변동의 정보가 주어졌을 때, 모든 정수 i (1 ≦ i ≦ N)에 대해 점 (i - 1, 0)과 점 (i, 0) 사이의 표면의 지층 이 IOI 문명이 멸망하기 몇 년 전의 지층인가를 출력하라.

입력

표준입력으로 아래의 정보를 읽어들여라.

첫째 줄에는 두 개의 정수 N, Q가 공백을 사이에 두고 주어진다. 이는 답을 구해야 하는 지층의 수가 N, 지각변동의 수가 Q라는 것을 나타낸다.

이어 Q개의 줄 중 i번째 줄 (1 ≦ i ≦ Q) 에는, 세 개의 정수 Xi, Di, Li가 공백을 사이에 두고 주어진다. 이는 지각변동의 위치가 Xi, 방향이 Di, 변동의 양이 Li이었다는 것을 나타낸다.

출력

출력은 N개의 줄로 되어있다.

표준출력의 i번째 줄 (1 ≦ i ≦ N) 에는, 점 (i − 1, 0) 과 점 (i, 0) 의 사이의 지표의 지층이 IOI 문명이 멸망하기 몇 년 전의 지층인가를 나타내는 정수를 출력한다.

제한

  • 1 ≦ N ≦ 200 000.
  • 1 ≦ Q ≦ 200 000.
  • −1 000 000 000 ≦ Xi ≦ 1 000 000 000 (1 ≦ i ≦ Q).
  • 1 ≦ Di ≦ 2 (1 ≦ i ≦ Q).
  • 1 ≦ Li ≦ 1 000 000 000 (1 ≦ i ≦ Q).

서브태스크 1 (18점)

  • N ≦ 100.
  • Q ≦ 100.
  • −100 ≦ Xi ≦ 100 (1 ≦ i ≦ Q).
  • Li = 1 (1 ≦ i ≦ Q).

서브태스크 2 (16점)

  • N ≦ 3 000.
  • Q ≦ 3 000.

서브태스크 3 (66점)

추가적인 제약 조건이 없다.

예제 입력 1

10 2
12 1 3
2 2 2

예제 출력 1

3
3
5
5
5
5
5
5
2
2

예제 입력 2

10 6
14 1 1
17 1 1
-6 2 1
3 2 1
4 1 1
0 2 1

예제 출력 2

5
5
4
5
5
5
5
5
4
4

예제 입력 3

15 10
28 1 7
-24 2 1
1 1 1
8 1 1
6 2 1
20 1 3
12 2 2
-10 1 3
7 2 1
5 1 2

예제 출력 3

15
14
14
14
14
12
12
12
12
12
12
12
15
15
12
[{"problem_id":"11989","problem_lang":"0","title":"\ub2e8\uce35","description":"<p>\uba3c \uc61b\ub0a0, IOI \ubb38\uba85\uc774\ub77c\ub294 \uace0\ub3c4\uc758 \ubb38\uba85\uc774 \ubc88\uc131\ud588\ub2e4. \uadf8\ub7ec\ub098 \ud654\uc0b0 \ubd84\ud654\ub85c \uc778\ud574\uc774 \uace0\ub3c4\uc758 \ubb38\uba85\uc740 \uacb0\uad6d \ub9dd\ud558\uace0 \ub9d0\uc558\ub2e4. IOI \ubb38\uba85\uc740 \uc9c1\uc120 \ubaa8\uc591\uc758 \ud558\ucc9c\uc744 \ub530\ub77c \ubc88\uc601\ud558\uc600\uace0, IOI \ubb38\uba85\uc774 \uba78\ub9dd\ud588\uc744 \ub54c, \uadf8 \uc9c0\ud45c\uba74\uc740 \ud3c9\ud3c9\ud588\ub2e4. IOI \ubb38\uba85\uc758 \uc720\uc801\uc9c0\ub294 \uc88c\ud45c \ud3c9\uba74\uc758 x\ucd95\uc73c\ub85c \uac04\uc8fc\ud560 \uc218\uc788\ub2e4. y\ucd95\uc740 \ub192\uc774 \ubc29\ud5a5\uc744 \ub098\ud0c0\ub0b8\ub2e4. \uc989, \uc88c\ud45c \ud3c9\uba74\uc5d0\uc11c, \uc9c1\uc120 y = 0 \uc740 \uc9c0\ud45c\ub97c, \uc601\uc5ed y &gt; 0 \uc740 \uc9c0\uc0c1\uc744, \uc601\uc5ed y &lt; 0 \uc740 \uc9c0\ud558\ub97c \ub098\ud0c0\ub0b8\ub2e4. \ub610\ud55c IOI \ubb38\uba85\uc774 \uba78\ub9dd\ud588\uc744 \ub54c, a \ub144\uc804 (a \u2267 0) \uc9c0\uce35\uc740 \uc9c1\uc120 y = -a \uc758 \uc704\uce58\uc5d0 \uc788\uc5c8\ub2e4.<\/p>\r\n\r\n<p>IOI \ubb38\uba85\uc774 \uba78\ub9dd\ud55c \ud6c4 IOI \ubb38\uba85\uc758 \uc720\uc801\uc9c0\uc5d0\uc11c\ub294 Q \ubc88\uc758 \uc9c0\uac01 \ubcc0\ub3d9\uc774 \uc77c\uc5b4\ub0ac\ub2e4. i \ubc88\uc9f8 (1 \u2266 i \u2266 Q)\uc758 \uc9c0\uac01 \ubcc0\ub3d9\uc740 \uc704\uce58 X<sub>i<\/sub>, \ubc29\ud5a5 D<sub>i<\/sub>, \ubcc0\ub3d9\uc758 \uc591 L<sub>i<\/sub>\ub85c \ud45c\ud604\ub41c\ub2e4. D<sub>i<\/sub>\ub294 1 \ub610\ub294 2\uc774\ub2e4. i\ubc88\uc9f8\uc758 \uc9c0\uac01 \ubcc0\ub3d9\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uc77c\uc5b4\ub09c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc9c0\uce35\uc758 \uc774\ub3d9\uc774 \ub2e4\uc74c\uacfc \uac19\uc774 \uc77c\uc5b4\ub09c\ub2e4.\r\n\t<ul>\r\n\t\t<li>D<sub>i<\/sub> = 1 \uc77c \ub54c, \ub2e8\uce35\uc774 \uc810 (X<sub>i<\/sub>, 0)\uc744 \uc9c0\ub098\ub294 \uae30\uc6b8\uae30 1\uc758 \uc9c1\uc120\uc744 \ub530\ub77c \ub9cc\ub4e4\uc5b4\uc838, \uc774 \uc9c1\uc120\ubcf4\ub2e4 \uc704\ucabd\uc758 \uc601\uc5ed\uc5d0 \uc788\ub294 \uc9c0\uce35\uc774, \uc9c1\uc120\uc744 \ub530\ub77c \ub192\uc774 L<sub>i<\/sub>\ub9cc\ud07c \uc774\ub3d9\ud55c\ub2e4. \uc989, \uc774 \uc9c1\uc120\ubcf4\ub2e4 \uc704\ucabd\uc5d0 \uc788\ub294 \uc810 (x, y)\ub294 \uc810 (x + L<sub>i<\/sub>, y + L<sub>i<\/sub>)\ub85c \uc774\ub3d9\ud55c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\r\n\t<ul>\r\n\t\t<li>D<sub>i<\/sub> = 2 \uc77c \ub54c, \ub2e8\uce35\uc774 \uc810 (X<sub>i<\/sub>, 0)\uc744 \uc9c0\ub098\ub294 \uae30\uc6b8\uae30 -1\uc758 \uc9c1\uc120\uc744 \ub530\ub77c \ub9cc\ub4e4\uc5b4\uc838, \uc774 \uc9c1\uc120\ubcf4\ub2e4 \uc704\ucabd\uc758 \uc601\uc5ed\uc5d0 \uc788\ub294 \uc9c0\uce35\uc774, \uc9c1\uc120\uc744 \ub530\ub77c \ub192\uc774 L<sub>i<\/sub>\ub9cc\ud07c \uc774\ub3d9\ud55c\ub2e4. \uc989, \uc774 \uc9c1\uc120\ubcf4\ub2e4 \uc704\ucabd\uc5d0 \uc788\ub294 \uc810 (x, y)\ub294 \uc810 (x - L<sub>i<\/sub>, y + L<sub>i<\/sub>)\ub85c \uc774\ub3d9\ud55c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>\uadf8 \uc9c1\ud6c4, \uc601\uc5ed y &gt; 0 \uc758 \uc9c0\uce35\uc774 \ud48d\ud654\uc5d0 \uc758\ud574 \ubaa8\ub450 \uc0ac\ub77c\uc9c4\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc2dc\uac04\uc774 \ud758\ub7ec \ud604\ub300\uc5d0, \uace0\uace0\ud559\uc790 JOI \ubc15\uc0ac\ub294 IOI \ubb38\uba85\uc758 \uc720\uc801\uc744 \ubc1c\uad74\ud558\uae30\ub85c\ud588\ub2e4. JOI \ubc15\uc0ac\ub294 \uc5b4\ub290 \uc704\uce58\uc758 \ud45c\uba74\uc758 \uc9c0\uce35\uc774 IOI \ubb38\uba85\uc774 \uba78\ub9dd\ud558\uae30 \uba87 \ub144\uc804\uc758 \uc9c0\uce35\uc778\uc9c0 \uc54c\uace0 \uc2f6\ub2e4. \uadf8\ub3d9\uc548 \uc5b4\ub5a4 \uc9c0\uac01 \ubcc0\ub3d9\uc774 \uc77c\uc5b4\ub0ac\ub294\uc9c0\ub294 \uc54c\uace0 \uc788\ub2e4. \ub2f9\uc2e0\uc758 \uc791\uc5c5\uc740 JOI \ubc15\uc0ac\ub97c \ub300\uc2e0\ud558\uc5ec 1 \u2266 i \u2266 N \uc744 \ub9cc\uc871\ud558\ub294 \uac01\uac01\uc758 \uc815\uc218 i\uc5d0 \ub300\ud574, \uc810 (i-1, 0)\uacfc \uc810 (i, 0) \uc0ac\uc774\uc758 \ud45c\uba74\uc758 \uc9c0\uce35\uc774 IOI \ubb38\uba85\uc774 \uba78\ub9dd\ud558\uae30 \uba87 \ub144 \uc804\uc758 \uc9c0\uce35\uc778\uac00\ub97c \uc54c\uc544\ub0b4\ub294 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>IOI \ubb38\uba85\uc758 \uc720\uc801\uc9c0\uc5d0 \uc77c\uc5b4\ub09c \uc9c0\uac01\ubcc0\ub3d9\uc758 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ubaa8\ub4e0 \uc815\uc218 i (1 \u2266 i \u2266 N)\uc5d0 \ub300\ud574 \uc810 (i - 1, 0)\uacfc \uc810 (i, 0) \uc0ac\uc774\uc758 \ud45c\uba74\uc758 \uc9c0\uce35 \uc774 IOI \ubb38\uba85\uc774 \uba78\ub9dd\ud558\uae30 \uba87 \ub144 \uc804\uc758 \uc9c0\uce35\uc778\uac00\ub97c \ucd9c\ub825\ud558\ub77c.<\/p>\r\n","input":"<p>\ud45c\uc900\uc785\ub825\uc73c\ub85c \uc544\ub798\uc758 \uc815\ubcf4\ub97c \uc77d\uc5b4\ub4e4\uc5ec\ub77c.<\/p>\r\n\r\n<p>\uccab\uc9f8 \uc904\uc5d0\ub294 \ub450 \uac1c\uc758 \uc815\uc218 N, Q\uac00 \uacf5\ubc31\uc744 \uc0ac\uc774\uc5d0 \ub450\uace0 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub294 \ub2f5\uc744 \uad6c\ud574\uc57c \ud558\ub294 \uc9c0\uce35\uc758 \uc218\uac00 N, \uc9c0\uac01\ubcc0\ub3d9\uc758 \uc218\uac00 Q\ub77c\ub294 \uac83\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\uc774\uc5b4 Q\uac1c\uc758 \uc904 \uc911 i\ubc88\uc9f8 \uc904 (1 \u2266 i \u2266 Q) \uc5d0\ub294, \uc138 \uac1c\uc758 \uc815\uc218 X<sub>i<\/sub>, D<sub>i<\/sub>, L<sub>i<\/sub>\uac00 \uacf5\ubc31\uc744 \uc0ac\uc774\uc5d0 \ub450\uace0 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub294 \uc9c0\uac01\ubcc0\ub3d9\uc758 \uc704\uce58\uac00 X<sub>i<\/sub>, \ubc29\ud5a5\uc774 D<sub>i<\/sub>, \ubcc0\ub3d9\uc758 \uc591\uc774 L<sub>i<\/sub>\uc774\uc5c8\ub2e4\ub294 \uac83\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n","output":"<p>\ucd9c\ub825\uc740 N\uac1c\uc758 \uc904\ub85c \ub418\uc5b4\uc788\ub2e4.<\/p>\r\n\r\n<p>\ud45c\uc900\ucd9c\ub825\uc758 i\ubc88\uc9f8 \uc904 (1 \u2266 i \u2266 N) \uc5d0\ub294, \uc810 (i &minus; 1, 0) \uacfc \uc810 (i, 0) \uc758 \uc0ac\uc774\uc758 \uc9c0\ud45c\uc758 \uc9c0\uce35\uc774 IOI \ubb38\uba85\uc774 \uba78\ub9dd\ud558\uae30 \uba87 \ub144 \uc804\uc758 \uc9c0\uce35\uc778\uac00\ub97c \ub098\ud0c0\ub0b4\ub294 \uc815\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>1 \u2266 N \u2266 200 000\uff0e<\/li>\r\n\t<li>1 \u2266 Q \u2266 200 000\uff0e<\/li>\r\n\t<li>&minus;1 000 000 000 \u2266 X<sub>i<\/sub> \u2266 1 000 000 000 (1 \u2266 i \u2266 Q)\uff0e<\/li>\r\n\t<li>1 \u2266 D<sub>i<\/sub> \u2266 2 (1 \u2266 i \u2266 Q)\uff0e<\/li>\r\n\t<li>1 \u2266 L<sub>i<\/sub> \u2266 1 000 000 000 (1 \u2266 i \u2266 Q)\uff0e<\/li>\r\n<\/ul>\r\n","subtask1":"<ul>\r\n\t<li>N \u2266 100.<\/li>\r\n\t<li>Q \u2266 100.<\/li>\r\n\t<li>&minus;100 \u2266 X<sub>i<\/sub> \u2266 100 (1 \u2266 i \u2266 Q).<\/li>\r\n\t<li>L<sub>i<\/sub> = 1 (1 \u2266 i \u2266 Q).<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>N \u2266 3 000.<\/li>\r\n\t<li>Q \u2266 3 000.<\/li>\r\n<\/ul>\r\n","subtask3":"<p>\ucd94\uac00\uc801\uc778 \uc81c\uc57d \uc870\uac74\uc774 \uc5c6\ub2e4.<\/p>\r\n","sample_explain_1":"<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/d4a2338d-1a68-4a77-ab7a-78c991318693\/-\/preview\/\" style=\"width: 507px; height: 513px;\" \/><\/p>\r\n"},{"problem_id":"11989","problem_lang":"2","title":"\u65ad\u5c64 (Geologic Fault)","description":"<p>\u9060\u3044\u6614\uff0cIOI \u6587\u660e\u3068\u3044\u3046\u9ad8\u5ea6\u306a\u6587\u660e\u304c\u6804\u3048\u3066\u3044\u305f\uff0e\u3057\u304b\u3057\uff0c\u706b\u5c71\u306e\u5674\u706b\u306b\u3088\u308a\uff0c\u3053\u306e\u9ad8\u5ea6\u306a\u6587\u660e\u306f\u3064\u3044\u306b\u6ec5\u3093\u3067\u3057\u307e\u3063\u305f\uff0eIOI \u6587\u660e\u306f\u76f4\u7dda\u72b6\u306e\u6cb3\u5ddd\u306b\u6cbf\u3063\u3066\u7e41\u6804\u3057\u3066\u304a\u308a\uff0cIOI \u6587\u660e\u304c\u6ec5\u3093\u3060\u3068\u304d\uff0c\u305d\u306e\u5730\u8868\u9762\u306f\u5e73\u3089\u3067\u3042\u3063\u305f\uff0eIOI \u6587\u660e\u306e\u8de1\u5730\u306f\u5ea7\u6a19\u5e73\u9762\u306e x \u8ef8\u3068\u898b\u306a\u3059\u3053\u3068\u304c\u3067\u304d\u308b\uff0ey \u8ef8\u306f\u9ad8\u3055\u65b9\u5411\u3092\u8868\u3059\uff0e\u3059\u306a\u308f\u3061\uff0c\u5ea7\u6a19\u5e73\u9762\u306b\u304a\u3044\u3066\uff0c\u76f4\u7dda y = 0 \u306f\u5730\u8868\u3092\uff0c\u9818\u57df y &gt; 0 \u306f\u5730\u4e0a\u3092\uff0c\u9818\u57df y &lt; 0 \u306f\u5730\u4e0b\u3092\u8868\u3059\uff0e\u307e\u305f\uff0cIOI \u6587\u660e\u304c\u6ec5\u3093\u3060\u3068\u304d\uff0ca \u5e74\u524d (a \u2267 0) \u306e\u5730\u5c64\u306f\uff0c\u76f4\u7dda y = &minus;a \u306e\u4f4d\u7f6e\u306b\u3042\u3063\u305f\uff0e<\/p>\r\n\r\n<p>IOI \u6587\u660e\u304c\u6ec5\u3093\u3060\u5f8c\uff0cIOI \u6587\u660e\u306e\u8de1\u5730\u3067\u306f Q \u56de\u306e\u5730\u6bbb\u5909\u52d5\u304c\u8d77\u304d\u305f\uff0ei \u56de\u76ee (1 \u2266 i \u2266 Q) \u306e\u5730\u6bbb\u5909\u52d5\u306f\uff0c\u4f4d\u7f6e X<sub>i<\/sub>\uff0c\u65b9\u5411 D<sub>i<\/sub>\uff0c\u5909\u52d5\u306e\u91cf L<sub>i<\/sub> \u3067\u8868\u3055\u308c\u308b\uff0eD<sub>i<\/sub> \u306f 1 \u307e\u305f\u306f 2 \u3067\u3042\u308b\uff0ei \u56de\u76ee\u306e\u5730\u6bbb\u5909\u52d5\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8d77\u304d\u308b\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>\u5730\u5c64\u306e\u79fb\u52d5\u304c\u6b21\u306e\u3088\u3046\u306b\u8d77\u304d\u308b\uff0e\r\n\t<ul>\r\n\t\t<li>D<sub>i<\/sub> = 1 \u306e\u3068\u304d\uff0c\u65ad\u5c64\u304c\u70b9 (X<sub>i<\/sub>, 0) \u3092\u901a\u308b\u50be\u304d 1 \u306e\u76f4\u7dda\u306b\u6cbf\u3063\u3066\u9020\u3089\u308c\uff0c\u3053\u306e\u76f4\u7dda\u3088\u308a\u4e0a\u306e\u9818\u57df\u306b\u3042\u308b\u5730\u5c64\u304c\uff0c\u76f4\u7dda\u306b\u6cbf\u3063\u3066\u9ad8\u3055 L<sub>i<\/sub> \u3060\u3051\u79fb\u52d5\u3059\u308b\uff0e\u3059\u306a\u308f\u3061\uff0c\u3053\u306e\u76f4\u7dda\u3088\u308a\u4e0a\u306e\u70b9 (x, y) \u306f\uff0c\u70b9 (x + L<sub>i<\/sub>, y + L<sub>i<\/sub>) \u306b\u79fb\u52d5\u3059\u308b\uff0e<\/li>\r\n\t\t<li>D<sub>i<\/sub> = 2 \u306e\u3068\u304d\uff0c\u65ad\u5c64\u304c\u70b9 (X<sub>i<\/sub>, 0) \u3092\u901a\u308b\u50be\u304d &minus;1 \u306e\u76f4\u7dda\u306b\u6cbf\u3063\u3066\u9020\u3089\u308c\uff0c\u3053\u306e\u76f4\u7dda\u3088\u308a\u4e0a\u306e\u9818\u57df\u306b\u3042\u308b\u5730\u5c64\u304c\uff0c\u76f4\u7dda\u306b\u6cbf\u3063\u3066\u9ad8\u3055 L<sub>i<\/sub> \u3060\u3051\u79fb\u52d5\u3059\u308b\uff0e\u3059\u306a\u308f\u3061\uff0c\u3053\u306e\u76f4\u7dda\u3088\u308a\u4e0a\u306e\u70b9 (x, y) \u306f\uff0c\u70b9 (x &minus; L<sub>i<\/sub>, y + L<sub>i<\/sub>) \u306b\u79fb\u52d5\u3059\u308b\uff0e<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>\u305d\u306e\u3059\u3050\u5f8c\u306b\uff0c\u9818\u57df y &gt; 0 \u306e\u5730\u5c64\u304c\u98a8\u5316\u306b\u3088\u3063\u3066\u3059\u3079\u3066\u6d88\u3048\u308b\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p>\u6642\u306f\u5909\u308f\u308a\u73fe\u4ee3\uff0c\u8003\u53e4\u5b66\u8005\u306e JOI \u535a\u58eb\u306f IOI \u6587\u660e\u306e\u907a\u8de1\u3092\u767a\u6398\u3059\u308b\u3053\u3068\u306b\u3057\u305f\uff0eJOI \u535a\u58eb\u306f\u3069\u306e\u4f4d\u7f6e\u306e\u5730\u8868\u306e\u5730\u5c64\u304c\uff0cIOI \u6587\u660e\u304c\u6ec5\u3076\u4f55\u5e74\u524d\u306e\u5730\u5c64\u3067\u3042\u308b\u304b\u3092\u77e5\u308a\u305f\u3044\uff0e\u3069\u306e\u3088\u3046\u306a\u5730\u6bbb\u5909\u52d5\u304c\u8d77\u304d\u305f\u304b\u306f\u5206\u304b\u3063\u3066\u3044\u308b\uff0e\u3042\u306a\u305f\u306e\u4ed5\u4e8b\u306f\uff0cJOI \u535a\u58eb\u306b\u304b\u308f\u3063\u3066\uff0c1 \u2266 i \u2266 N \u3092\u6e80\u305f\u3059\u5404\u6574\u6570 i \u306b\u3064\u3044\u3066\uff0c\u70b9 (i&minus;1, 0) \u3068\u70b9 (i, 0)\u306e\u9593\u306e\u5730\u8868\u306e\u5730\u5c64\u304c IOI \u6587\u660e\u304c\u6ec5\u3076\u4f55\u5e74\u524d\u306e\u5730\u5c64\u3067\u3042\u308b\u304b\u3092\u6c42\u3081\u308b\u3053\u3068\u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<p>IOI \u6587\u660e\u306e\u8de1\u5730\u306b\u8d77\u304d\u305f\u306e\u60c5\u5831\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0c\u3059\u3079\u3066\u306e\u6574\u6570 i (1 \u2266 i \u2266 N) \u306b\u5bfe\u3057\uff0c\u70b9 (i &minus; 1, 0) \u3068\u70b9 (i, 0) \u306e\u9593\u306e\u5730\u8868\u306e\u5730\u5c64\u304c IOI \u6587\u660e\u304c\u6ec5\u3076\u4f55\u5e74\u524d\u306e\u5730\u5c64\u3067\u3042\u308b\u304b\u3092\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","input":"<p>\u6a19\u6e96\u5165\u529b\u304b\u3089\u4ee5\u4e0b\u306e\u5165\u529b\u3092\u8aad\u307f\u8fbc\u3081\uff0e<\/p>\r\n\r\n<p>1 \u884c\u76ee\u306b\u306f\uff0c 2 \u500b\u306e\u6574\u6570 N, Q \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0c\u7b54\u3048\u3092\u6c42\u3081\u308b\u5730\u70b9\u306e\u6570\u304c N\uff0c\u5730\u6bbb\u5909\u52d5\u306e\u56de\u6570\u304c Q \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<br \/>\r\n\u7d9a\u304f Q \u884c\u306e\u3046\u3061\u306e i \u884c\u76ee (1 \u2266 i \u2266 Q) \u306b\u306f\uff0c3 \u500b\u306e\u6574\u6570 X<sub>i<\/sub>, D<sub>i<\/sub>, L<sub>i<\/sub> \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0ci \u56de\u76ee\u306e\u5730\u6bbb\u5909\u52d5\u306e\u4f4d\u7f6e\u304c X<sub>i<\/sub>\uff0c\u65b9\u5411\u304c D<sub>i<\/sub>\uff0c\u5909\u52d5\u306e\u91cf\u304c L<sub>i<\/sub> \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/p>\r\n","output":"<p>\u51fa\u529b\u306f N \u884c\u304b\u3089\u306a\u308b\uff0e\u6a19\u6e96\u51fa\u529b\u306e i \u884c\u76ee (1 \u2266 i \u2266 N) \u306b\u306f\uff0c\u70b9 (i &minus; 1, 0) \u3068\u70b9 (i, 0) \u306e\u9593\u306e\u5730\u8868\u306e\u5730\u5c64\u304c IOI \u6587\u660e\u304c\u6ec5\u3076\u4f55\u5e74\u524d\u306e\u5730\u5c64\u3067\u3042\u308b\u304b\u3092\u8868\u3059\u6574\u6570\u3092\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Japanese","limit":"<ul>\r\n\t<li>1 \u2266 N \u2266 200 000\uff0e<\/li>\r\n\t<li>1 \u2266 Q \u2266 200 000\uff0e<\/li>\r\n\t<li>&minus;1 000 000 000 \u2266 X<sub>i<\/sub> \u2266 1 000 000 000 (1 \u2266 i \u2266 Q)\uff0e<\/li>\r\n\t<li>1 \u2266 D<sub>i<\/sub> \u2266 2 (1 \u2266 i \u2266 Q)\uff0e<\/li>\r\n\t<li>1 \u2266 L<sub>i<\/sub> \u2266 1 000 000 000 (1 \u2266 i \u2266 Q)\uff0e<\/li>\r\n<\/ul>\r\n","subtask1":"<ul>\r\n\t<li>N \u2266 100.<\/li>\r\n\t<li>Q \u2266 100.<\/li>\r\n\t<li>&minus;100 \u2266 X<sub>i<\/sub> \u2266 100 (1 \u2266 i \u2266 Q).<\/li>\r\n\t<li>L<sub>i<\/sub> = 1 (1 \u2266 i \u2266 Q).<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>N \u2266 3 000.<\/li>\r\n\t<li>Q \u2266 3 000.<\/li>\r\n<\/ul>\r\n","subtask3":"<p>\u8ffd\u52a0\u306e\u5236\u9650\u306f\u306a\u3044\uff0e<\/p>\r\n","sample_explain_1":"<p>\u3053\u306e\u5165\u529b\u4f8b\u306f\uff0c\u4ee5\u4e0b\u306e\u56f3\u306b\u5bfe\u5fdc\u3059\u308b\uff0e<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/d4a2338d-1a68-4a77-ab7a-78c991318693\/-\/preview\/\" style=\"width: 507px; height: 513px;\" \/><\/p>\r\n","sample_explain_2":"<p>\u3053\u306e\u5165\u529b\u4f8b\u306f\uff0c\u5c0f\u8ab2\u984c 1 \u306e\u5236\u7d04\u3092\u6e80\u305f\u3059\uff0e<\/p>\r\n"}]

출처

Olympiad > Japanese Olympiad in Informatics > JOI 2015/2016 5번

채점 및 기타 정보

  • 예제는 채점하지 않는다.