시간 제한메모리 제한제출정답맞힌 사람정답 비율
3 초 256 MB52724215847.447%

문제

지안지아는 똑같은 크기의 벽돌을 쌓아서 벽을 만들고 있다. 이 벽은 n열의 벽돌로 되어 있는데, 각 열은 왼쪽부터 오른쪽으로 차례대로 0부터 n-1까지 번호가 매겨져 있다. 각 열의 높이는 서로 다를 수 있다. 열의 높이는 이 열에 쌓인 벽돌의 수이다.

지안지아는 다음과 같이 벽을 만든다. 처음에는 어느 열에도 벽돌이 없다. 다음, 지안지아는 k 단계에 걸쳐 벽돌을 더하거나 또는 빼거나 한다. k 단계가 다 끝나면 벽을 다 쌓은 것이다. 매 단계마다 지안지아는 연속된 벽돌 열의 범위와 높이 h를 받고, 다음과 같은 절차에 따라 정해진 일을 한다.

  • 벽돌을 더하는 단계에서는, 지안지아는 주어진 범위에 해당하는 열들 중 h장 미만의 벽돌이 쌓인 열들에 벽돌을 더해서 정확히 벽돌 h장이 쌓이게 한다. h장 이상 벽돌이 있는 열에는 아무 일도 하지 않는다.
  • 벽돌을 빼는 단계에는, 지안지아는 주어진 범위에 해당하는 열들 중 h장 초과의 벽돌이 쌓인 열들에서 벽돌을 빼서 정확히 벽돌 h장이 쌓이게 한다. h장 이하 벽돌이 있는 열에는 아무 일도 하지 않는다.

당신이 할 일은 벽의 최종 모양을 결정하는 것이다.

10열의 벽돌이 있고 6단계를 거쳐 벽을 만든다고 가정하자. 아래 표의 모든 범위는 양 끝을 포함한다. 각 단계가 끝났을 때 벽의 모양은 아래 그림과 같다.

단계 하는 일 범위 높이
0 더하기 1열부터 8열까지 4
1 빼기 4열부터 9열까지 1
2 빼기 3열부터 6열까지 5
3 더하기 0열부터 5열까지 3
4 더하기 2열 5
5 빼기 6열부터 7열까지 0

처음에 모든 열에는 벽돌이 없기 때문에, 단계 0이 끝나면 1열부터 8열까지는 모두 4장의 벽돌이 있다. 0열과 9열은 비어 있다. 단계 1에서는, 4열부터 8열까지는 벽돌이 빠져서 모든 열에 각각 벽돌이 1장이 있고, 9열은 계속 비어 있다. 주어진 범위 밖인 0열부터 3열은 아무 변화가 없다. 단계 2는 아무 변화가 없는데, 3열부터 6열까지 5장을 초과하여 벽돌이 있는 열이 없기 때문이다. 단계 3이 끝나면 0, 4, 5열의 벽돌은 3장으로 늘어난다. 단계 4가 끝나면 2열에는 벽돌이 5장 있다. 단계 5는 6열과 7열의 모든 벽돌을 없앤다.

각 단계에서 하는 일이 주어졌을 때, 모든 단계가 끝난 다음 각 열에 남아 있는 벽돌의 수를 계산하시오.

입력

첫째 줄에 벽에 있는 열의 수 n과 단계의 수 k가 주어진다.

둘째 줄부터 총 k개의 줄에 걸쳐서 단계 i에서 하는 일이 주어진다. op, left, right, height로 이루어져 있으며, 아래와 같은 의미를 갖는다.

  • op: 1이면 더하는 단계, 2이면 빼는 단계이다.
  • left와 right: 각 단계에 해당하는 열의 범위이다. left 열에서 시작하고, right 열에서 끝난다. (양 끝점 left와 right도 포함된다) 항상 left ≤ right이다.
  • height: 각 단계에서 주어지는 높이이다.

출력

모든 단계가 끝난 다음 각 열에 남아 있는 벽돌의 수를 한 줄에 하나씩 순서대로 출력한다.

서브태스크

모든 부분문제에서 모든 단계의 높이 파라미터는 100,000 이하인 음이 아닌 정수이다.

번호 배점 제한
1 8

1 ≤ n ≤ 10,000, 1 ≤ k ≤ 5,000

2 24

1 ≤ n ≤ 100,000, 1 ≤ k ≤ 500,000, 모든 더하기 단계는 모든 빼기 단계보다 앞에 옴

3 29

1 ≤ n ≤ 100,000, 1 ≤ k ≤ 500,000

4 39

1 ≤ n ≤ 2,000,000, 1 ≤ k ≤ 500,000

예제 입력 1

10 6
1 1 8 4
2 4 9 1
2 3 6 5
1 0 5 3
1 2 2 5
2 6 7 0

예제 출력 1

3
4
5
4
3
3
0
0
1
0
[{"problem_id":"10070","problem_lang":"0","title":"\ubcbd","description":"<p>\uc9c0\uc548\uc9c0\uc544\ub294 \ub611\uac19\uc740 \ud06c\uae30\uc758 \ubcbd\ub3cc\uc744 \uc313\uc544\uc11c \ubcbd\uc744 \ub9cc\ub4e4\uace0 \uc788\ub2e4. \uc774 \ubcbd\uc740 n\uc5f4\uc758 \ubcbd\ub3cc\ub85c \ub418\uc5b4 \uc788\ub294\ub370, \uac01 \uc5f4\uc740 \uc67c\ucabd\ubd80\ud130 \uc624\ub978\ucabd\uc73c\ub85c \ucc28\ub840\ub300\ub85c 0\ubd80\ud130 n-1\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \uac01 \uc5f4\uc758 \ub192\uc774\ub294 \uc11c\ub85c \ub2e4\ub97c \uc218 \uc788\ub2e4. \uc5f4\uc758 \ub192\uc774\ub294 \uc774 \uc5f4\uc5d0 \uc313\uc778 \ubcbd\ub3cc\uc758 \uc218\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc9c0\uc548\uc9c0\uc544\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \ubcbd\uc744 \ub9cc\ub4e0\ub2e4. \ucc98\uc74c\uc5d0\ub294 \uc5b4\ub290 \uc5f4\uc5d0\ub3c4 \ubcbd\ub3cc\uc774 \uc5c6\ub2e4. \ub2e4\uc74c, \uc9c0\uc548\uc9c0\uc544\ub294 k \ub2e8\uacc4\uc5d0 \uac78\uccd0 \ubcbd\ub3cc\uc744 \ub354\ud558\uac70\ub098 \ub610\ub294 \ube7c\uac70\ub098 \ud55c\ub2e4. k \ub2e8\uacc4\uac00 \ub2e4 \ub05d\ub098\uba74 \ubcbd\uc744 \ub2e4 \uc313\uc740 \uac83\uc774\ub2e4. \ub9e4 \ub2e8\uacc4\ub9c8\ub2e4 \uc9c0\uc548\uc9c0\uc544\ub294 \uc5f0\uc18d\ub41c \ubcbd\ub3cc \uc5f4\uc758 \ubc94\uc704\uc640 \ub192\uc774 h\ub97c \ubc1b\uace0, \ub2e4\uc74c\uacfc \uac19\uc740 \uc808\ucc28\uc5d0 \ub530\ub77c \uc815\ud574\uc9c4 \uc77c\uc744 \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ubcbd\ub3cc\uc744 \ub354\ud558\ub294 \ub2e8\uacc4\uc5d0\uc11c\ub294, \uc9c0\uc548\uc9c0\uc544\ub294 \uc8fc\uc5b4\uc9c4 \ubc94\uc704\uc5d0 \ud574\ub2f9\ud558\ub294 \uc5f4\ub4e4 \uc911 h\uc7a5 \ubbf8\ub9cc\uc758 \ubcbd\ub3cc\uc774 \uc313\uc778 \uc5f4\ub4e4\uc5d0 \ubcbd\ub3cc\uc744 \ub354\ud574\uc11c \uc815\ud655\ud788 \ubcbd\ub3cc h\uc7a5\uc774 \uc313\uc774\uac8c \ud55c\ub2e4. h\uc7a5 \uc774\uc0c1 \ubcbd\ub3cc\uc774 \uc788\ub294 \uc5f4\uc5d0\ub294 \uc544\ubb34 \uc77c\ub3c4 \ud558\uc9c0 \uc54a\ub294\ub2e4.<\/li>\r\n\t<li>\ubcbd\ub3cc\uc744 \ube7c\ub294 \ub2e8\uacc4\uc5d0\ub294, \uc9c0\uc548\uc9c0\uc544\ub294 \uc8fc\uc5b4\uc9c4 \ubc94\uc704\uc5d0 \ud574\ub2f9\ud558\ub294 \uc5f4\ub4e4 \uc911 h\uc7a5 \ucd08\uacfc\uc758 \ubcbd\ub3cc\uc774 \uc313\uc778 \uc5f4\ub4e4\uc5d0\uc11c \ubcbd\ub3cc\uc744 \ube7c\uc11c \uc815\ud655\ud788 \ubcbd\ub3cc h\uc7a5\uc774 \uc313\uc774\uac8c \ud55c\ub2e4. h\uc7a5 \uc774\ud558 \ubcbd\ub3cc\uc774 \uc788\ub294 \uc5f4\uc5d0\ub294 \uc544\ubb34 \uc77c\ub3c4 \ud558\uc9c0 \uc54a\ub294\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub2f9\uc2e0\uc774 \ud560 \uc77c\uc740 \ubcbd\uc758 \ucd5c\uc885 \ubaa8\uc591\uc744 \uacb0\uc815\ud558\ub294 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>10\uc5f4\uc758 \ubcbd\ub3cc\uc774 \uc788\uace0 6\ub2e8\uacc4\ub97c \uac70\uccd0 \ubcbd\uc744 \ub9cc\ub4e0\ub2e4\uace0 \uac00\uc815\ud558\uc790. \uc544\ub798 \ud45c\uc758 \ubaa8\ub4e0 \ubc94\uc704\ub294 \uc591 \ub05d\uc744 \ud3ec\ud568\ud55c\ub2e4. \uac01 \ub2e8\uacc4\uac00 \ub05d\ub0ac\uc744 \ub54c \ubcbd\uc758 \ubaa8\uc591\uc740 \uc544\ub798 \uadf8\ub9bc\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:50%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>\ub2e8\uacc4<\/th>\r\n\t\t\t<th>\ud558\ub294 \uc77c<\/th>\r\n\t\t\t<th>\ubc94\uc704<\/th>\r\n\t\t\t<th>\ub192\uc774<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>\ub354\ud558\uae30<\/td>\r\n\t\t\t<td>1\uc5f4\ubd80\ud130 8\uc5f4\uae4c\uc9c0<\/td>\r\n\t\t\t<td>4<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>\ube7c\uae30<\/td>\r\n\t\t\t<td>4\uc5f4\ubd80\ud130 9\uc5f4\uae4c\uc9c0<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>\ube7c\uae30<\/td>\r\n\t\t\t<td>3\uc5f4\ubd80\ud130 6\uc5f4\uae4c\uc9c0<\/td>\r\n\t\t\t<td>5<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>\ub354\ud558\uae30<\/td>\r\n\t\t\t<td>0\uc5f4\ubd80\ud130 5\uc5f4\uae4c\uc9c0<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>\ub354\ud558\uae30<\/td>\r\n\t\t\t<td>2\uc5f4<\/td>\r\n\t\t\t<td>5<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>5<\/td>\r\n\t\t\t<td>\ube7c\uae30<\/td>\r\n\t\t\t<td>6\uc5f4\ubd80\ud130 7\uc5f4\uae4c\uc9c0<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\ucc98\uc74c\uc5d0 \ubaa8\ub4e0 \uc5f4\uc5d0\ub294 \ubcbd\ub3cc\uc774 \uc5c6\uae30 \ub54c\ubb38\uc5d0, \ub2e8\uacc4 0\uc774 \ub05d\ub098\uba74 1\uc5f4\ubd80\ud130 8\uc5f4\uae4c\uc9c0\ub294 \ubaa8\ub450 4\uc7a5\uc758 \ubcbd\ub3cc\uc774 \uc788\ub2e4. 0\uc5f4\uacfc 9\uc5f4\uc740 \ube44\uc5b4 \uc788\ub2e4. \ub2e8\uacc4 1\uc5d0\uc11c\ub294, 4\uc5f4\ubd80\ud130 8\uc5f4\uae4c\uc9c0\ub294 \ubcbd\ub3cc\uc774 \ube60\uc838\uc11c \ubaa8\ub4e0 \uc5f4\uc5d0 \uac01\uac01 \ubcbd\ub3cc\uc774 1\uc7a5\uc774 \uc788\uace0, 9\uc5f4\uc740 \uacc4\uc18d \ube44\uc5b4 \uc788\ub2e4. \uc8fc\uc5b4\uc9c4 \ubc94\uc704 \ubc16\uc778 0\uc5f4\ubd80\ud130 3\uc5f4\uc740 \uc544\ubb34 \ubcc0\ud654\uac00 \uc5c6\ub2e4. \ub2e8\uacc4 2\ub294 \uc544\ubb34 \ubcc0\ud654\uac00 \uc5c6\ub294\ub370, 3\uc5f4\ubd80\ud130 6\uc5f4\uae4c\uc9c0 5\uc7a5\uc744 \ucd08\uacfc\ud558\uc5ec \ubcbd\ub3cc\uc774 \uc788\ub294 \uc5f4\uc774 \uc5c6\uae30 \ub54c\ubb38\uc774\ub2e4. \ub2e8\uacc4 3\uc774 \ub05d\ub098\uba74 0, 4, 5\uc5f4\uc758 \ubcbd\ub3cc\uc740 3\uc7a5\uc73c\ub85c \ub298\uc5b4\ub09c\ub2e4. \ub2e8\uacc4 4\uac00 \ub05d\ub098\uba74 2\uc5f4\uc5d0\ub294 \ubcbd\ub3cc\uc774 5\uc7a5 \uc788\ub2e4. \ub2e8\uacc4 5\ub294 6\uc5f4\uacfc 7\uc5f4\uc758 \ubaa8\ub4e0 \ubcbd\ub3cc\uc744 \uc5c6\uc564\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/a39a54bd-2692-4c40-9e57-99bfb3ff9992\/-\/preview\/\" style=\"width: 279px; height: 508px;\" \/><\/p>\r\n\r\n<p>\uac01 \ub2e8\uacc4\uc5d0\uc11c \ud558\ub294 \uc77c\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ubaa8\ub4e0 \ub2e8\uacc4\uac00 \ub05d\ub09c \ub2e4\uc74c \uac01 \uc5f4\uc5d0 \ub0a8\uc544 \uc788\ub294 \ubcbd\ub3cc\uc758 \uc218\ub97c \uacc4\uc0b0\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ubcbd\uc5d0 \uc788\ub294 \uc5f4\uc758 \uc218 n\uacfc \ub2e8\uacc4\uc758 \uc218 k\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\ubd80\ud130 \ucd1d k\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0\uc11c \ub2e8\uacc4 i\uc5d0\uc11c \ud558\ub294 \uc77c\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. op, left, right, height\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70, \uc544\ub798\uc640 \uac19\uc740 \uc758\ubbf8\ub97c \uac16\ub294\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>op: 1\uc774\uba74 \ub354\ud558\ub294 \ub2e8\uacc4, 2\uc774\uba74 \ube7c\ub294 \ub2e8\uacc4\uc774\ub2e4.<\/li>\r\n\t<li>left\uc640 right: \uac01 \ub2e8\uacc4\uc5d0 \ud574\ub2f9\ud558\ub294 \uc5f4\uc758 \ubc94\uc704\uc774\ub2e4. left \uc5f4\uc5d0\uc11c \uc2dc\uc791\ud558\uace0, right \uc5f4\uc5d0\uc11c \ub05d\ub09c\ub2e4. (\uc591 \ub05d\uc810 left\uc640 right\ub3c4 \ud3ec\ud568\ub41c\ub2e4) \ud56d\uc0c1 left &le; right\uc774\ub2e4.<\/li>\r\n\t<li>height: \uac01 \ub2e8\uacc4\uc5d0\uc11c \uc8fc\uc5b4\uc9c0\ub294 \ub192\uc774\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n","output":"<p>\ubaa8\ub4e0 \ub2e8\uacc4\uac00 \ub05d\ub09c \ub2e4\uc74c \uac01 \uc5f4\uc5d0 \ub0a8\uc544 \uc788\ub294 \ubcbd\ub3cc\uc758 \uc218\ub97c \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \uc21c\uc11c\ub300\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","subtask1":"<p>1 &le; n &le; 10,000, 1 &le; k &le; 5,000<\/p>\r\n","subtask2":"<p>1 &le; n &le; 100,000, 1 &le; k &le; 500,000, \ubaa8\ub4e0 \ub354\ud558\uae30 \ub2e8\uacc4\ub294 \ubaa8\ub4e0 \ube7c\uae30 \ub2e8\uacc4\ubcf4\ub2e4 \uc55e\uc5d0 \uc634<\/p>\r\n","subtask3":"<p>1 &le; n &le; 100,000, 1 &le; k &le; 500,000<\/p>\r\n","subtask4":"<p>1 &le; n &le; 2,000,000, 1 &le; k &le; 500,000<\/p>\r\n","custom_subtask_scoring_b":"<p>\ubaa8\ub4e0 \ubd80\ubd84\ubb38\uc81c\uc5d0\uc11c \ubaa8\ub4e0 \ub2e8\uacc4\uc758 \ub192\uc774 \ud30c\ub77c\ubbf8\ud130\ub294 100,000 \uc774\ud558\uc778 \uc74c\uc774 \uc544\ub2cc \uc815\uc218\uc774\ub2e4.<\/p>\r\n"},{"problem_id":"10070","problem_lang":"1","title":"Wall","description":"<p>Jian-Jia is building a wall by stacking bricks of the same size together. This wall consists of columns of bricks, which are numbered 0 to n-1 from left to right. The columns may have different heights. The height of a column is the number of bricks in it.<\/p>\r\n\r\n<p>Jian-Jia builds the wall as follows. Initially there are no bricks in any column. Then, Jian-Jia goes through k phases of adding or removing bricks. The building process completes when all k phases are finished. In each phase Jian-Jia is given a range of consecutive brick columns and a height h, and he does the following procedure:<\/p>\r\n\r\n<ul>\r\n\t<li>In an adding phase, Jian-Jia adds bricks to those columns in the given range that have less than h bricks, so that they have exactly h bricks. He does nothing on the columns having h or more bricks.<\/li>\r\n\t<li>In a removing phase, Jian-Jia removes bricks from those columns in the given range that have more than h bricks, so that they have exactly h bricks. He does nothing on the columns having h bricks or less.<\/li>\r\n<\/ul>\r\n\r\n<p>Your task is to determine the finalshape of the wall.<\/p>\r\n\r\n<p>We assume that there are 10 brick columns and 6 wall building phases. All ranges in the following table are inclusive. Diagrams of the wall after each phase are shown below.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:50%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>phase<\/th>\r\n\t\t\t<th>type<\/th>\r\n\t\t\t<th>range<\/th>\r\n\t\t\t<th>height<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>add<\/td>\r\n\t\t\t<td>columns 1 to 8<\/td>\r\n\t\t\t<td>4<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>remove<\/td>\r\n\t\t\t<td>columns 4 to 9<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>remove<\/td>\r\n\t\t\t<td>columns 3 to 6<\/td>\r\n\t\t\t<td>5<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>add<\/td>\r\n\t\t\t<td>columns 0 to 5<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>add<\/td>\r\n\t\t\t<td>column 2<\/td>\r\n\t\t\t<td>5<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>5<\/td>\r\n\t\t\t<td>remove<\/td>\r\n\t\t\t<td>columns 6 to 7<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>Since all columns are initially empty, after phase 0 each of the columns 1 to 8 will have 4 bricks. Columns 0 and 9 remain empty. In phase 1, the bricks are removed from columns 4 to 8 until each of them has 1 brick, and column 9 remains empty. Columns 0 to 3, which are out of the given range, remain unchanged. Phase 2 makes no change since columns 3 to 6 do not have more than 5 bricks. After phase 3 the numbers of bricks in columns 0, 4, and 5 increase to 3. There are 5 bricks in column 2 after phase 4. Phase 5 removes all bricks from columns 6 and 7.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/a39a54bd-2692-4c40-9e57-99bfb3ff9992\/-\/preview\/\" style=\"width: 279px; height: 508px;\" \/><\/p>\r\n\r\n<p>Given the description of the phases, please calculate the number of bricks in each column after all phases are finished.<\/p>\r\n","input":"<ul>\r\n\t<li>line 1: n, k.<\/li>\r\n\t<li>line 2+i (0 &le; i &le; k-1): op[i], left[i], right[i], height[i].\r\n\t<ul>\r\n\t\t<li>n: the number of columns of the wall.<\/li>\r\n\t\t<li>k: the number of phases.<\/li>\r\n\t\t<li>op: the type of phase i: 1 for an adding phase and 2 for a removing phase, for 0 &le; i &le; k-1.<\/li>\r\n\t\t<li>left[i] and right[i]: the range of columns in phase i starts with column left[i] and ends with column right[i] (including both endpoints left[i] and right[i]), for 0 &le; i &le; k-1. You will always have left[i] &le; right[i].<\/li>\r\n\t\t<li>height[i]: the height parameter of phase i, for 0 &le; i &le; k-1.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","output":"<p>Print your results by placing the final number of bricks in column i, for 0 &le; i &le; n-1.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English","subtask1":"<p>1 &le; n &le; 10,000, 1 &le; k &le; 5,000<\/p>\r\n","subtask2":"<p>1 &le; n &le; 100,000, 1 &le; k &le; 500,000, all adding phases are before all removing phases<\/p>\r\n","subtask3":"<p>1 &le; n &le; 100,000, 1 &le; k &le; 500,000<\/p>\r\n","subtask4":"<p>1 &le; n &le; 2,000,000, 1 &le; k &le; 500,000<\/p>\r\n","custom_subtask_scoring_b":"<p>For allsubtasks the height parameters of all phases are nonnegative integers less or equal to 100,000.<\/p>\r\n"}]

출처

Olympiad > International Olympiad in Informatics > IOI 2014 > Day 1 2번

  • 문제를 만든 사람: Bartosz Tarnawski

채점 및 기타 정보

  • 예제는 채점하지 않는다.