10922번 - 말 서브태스크다국어

시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 512 MB246715630.939%

문제

만수르는 조상들과 마찬가지로 말을 키우는 것을 좋아한다. 그는 카자흐스탄에서 말을 제일 많이 갖고 있다. 그렇지만 꼭 항상 그랬던 것은 아닌데, N년 전에만 해도 만수르는 그저 젊은이일 뿐이어서 말이 한마리밖에 없었다. 만수르는 돈을 많이 벌어서 부자가 되고 싶었다.

시간순으로 매 해를 0번 해부터 N-1번 해로 번호를 매기자. (즉, N-1번 해가 가장 최근이다.) 해마다 날씨는 말이 자라는데 영향을 미친다. 만수르가 기억하기로는, i번 해에 말의 마릿수가 늘어난 비율은 양의 정수 X[i]이다. 만약 i번 해 연초에 말이 h마리가 있었다면, 그 해 연말에는 말이 모두 h×X[i]마리가 된다.

말은 매해 연말에만 팔 수 있다. 만수르가 기억하기로 i번 해의 말값은 양의 정수 Y[i]였다. 즉, 매해 연말에 갖고 있는 말 중 팔 수 있는 말의 수에는 제약이 없고, 말 한마리 값은 Y[i]로 모두 같다.

만수르는 지난 N년 동안, 말을 파는 시기를 잘 정했다면 얼마나 많은 돈을 벌 수 있었을지가 궁금해졌다. 당신이 만수르를 방문했을 때 이 질문을 받게 되었다.

저녁동안 만수르의 기억은 점점 정확해져서, 총 M번의 수정을 하게 된다. 수정을 한 번 할 때마다 X[i]의 값 중 하나, 또는 Y[i]의 값 중 하나가 바뀐다. 수정을 한 번 할 때마다 만수르는 말을 팔아 서 벌 수 있는 돈의 최댓값을 물어본다. 만수르가 수정할 때마다, 수정된 내용들은 누적된다. 즉, 만수르에게 대답할 때는 지금까지 만수르가 한 수정들을 모두 반영해야 한다. 한 X[i] 또는 Y[i]가 여러 번 수정되는 경우도 가능하다.

만수르의 질문에 대한 답은 매우 큰 수일 수 있다. 큰 수를 다룰 때 생기는 문제를 피하기 위해서, 답을 109+7로 나눈 나머지를 알려주면 된다.

N = 3년에 대해서 다음과 같은 정보가 주어졌다고 하자.

  0 1 2
X 2 1 3
Y 3 4 1

이 초기 정보를 가지고, 만수르는 1번 해 연말에 모든 말을 다 팔았다면 가장 많은 돈을 벌 수 있다. 전체 과정은 다음과 같다.

  • 처음에 만수르는 말이 한 마리 있다.
  • 0번 해 연말에 만수르는 1×X[0] = 2마리의 말이 있다.
  • 1번 해 연말에 만수르는 2×X[1] = 2마리의 말이 있다.
  • 이제 말 두 마리를 모두 팔 수 있다. 전체 이익은 2×Y[1] = 8이다.

이제, M = 1번 수정을 하여 Y[1]이 2로 바뀌었다.

수정 후의 정보는 다음과 같다.

  0 1 2
X 2 1 3
Y 3 2 1

이 경우, 최적해 중 하나는 한 마리를 0번 해 연말에 팔고 2번 해 연말에 세 마리를 파는 것이다. 전체 과정은 다음과 같다

  • 처음에 만수르는 말이 한 마리 있다.
  • 0번 해 연말에 만수르는 1×X[0] = 2마리의 말이 있다.
  • 이제 이 중 한 마리를 Y[0] = 3에 팔 수 있고, 한 마리가 남아 있다.
  • 1번 해 연말에 만수르는 1×X[1] = 1마리의 말이 있다.
  • 2번 해 연말에 만수르는 1×X[2] = 3마리의 말이 있다.
  • 이제 말 세 마리를 모두 3×Y[2] = 3에 팔 수 있다. 전체 이익은 3 + 3 = 6이다.

N, X, Y와 수정된 내용의 리스트가 주어진다. 첫 번째 수정을 하기 전과, 매번 수정을 한 다음에 대해서 만수르가 말을 팔아서 벌 수 있는 돈의 최댓값을 109+7로 나눈 나머지를 구하라. 이를 위해서 함수 init, updateX, updateY를 구현해야 한다.

  • init(N, X, Y) — 그레이더는 이 함수를 맨 처음 정확히 한 번 호출한다.
    • N: 전체 해 수
    • X: 길이 N인 배열. 0 ≤ i ≤ N-1일 때, X[i]는 i번 해 연말에 말의 마릿수가 늘어난 비율이다.
    • Y: 길이 N인 배열. 0 ≤ i ≤ N-1일 때, Y[i]는 i번 해 연말에 말 한마리의 값이다.
    • X와 Y는 만수르가 처음에 준 값을 나타낸다. (수정을 하기 전의 값)
    • init 함수가 종료한 후, 배열 X와 Y는 유효한 주소에 있으며, 원한다면 이 배열의 내용을 수정할 수 있다.
    • 이 함수는 X와 Y의 초기값을 가지고 만수르가 말을 팔아서 벌 수 있는 돈의 최댓값을 109+7로 나눈 나머지를 리턴해야 한다.
  • updateX(pos, val)
    • pos: 0, ..., N-1 범위 내의 정수.
    • val: X[pos]의 새로운 값.
    • 이 함수는 주어진 정보에 따라 수정을 한 후, 만수르가 말을 팔아서 벌 수 있는 돈의 최댓값을 109+7로 나눈 나머지를 리턴해야 한다.
  • updateY(pos, val)
    • pos: 0, ..., N-1 범위 내의 정수.
    • val: Y[pos]의 새로운 값.
    • 이 함수는 주어진 정보에 따라 수정을 한 후, 만수르가 말을 팔아서 벌 수 있는 돈의 최댓값을 109+7로 나눈 나머지를 리턴해야 한다.

모든 X[i]와 Y[i]의 값은 항상 (즉, 처음에도, 매번 수정을 한 다음에도) 1이상 109이하를 만족한다.

init을 호출한 후, 그레이더는 updateX와 updateY를 여러 번 호출할 것이다. updateX와 updateY의 전체 호출 회수는 M이다.

입력

  • 1번 줄: N
  • 2번 줄: X[0] … X[N - 1]
  • 3번 줄: Y[0] … Y[N - 1]
  • 4번 줄: M
  • 5 ~ M + 4번 줄: type pos val에 해당하는 세 숫자 (type=1이면 updateX이고 type=2이면 updateY).

출력

처음 init의 리턴값을 출력하고, 차례로 updateX와 updateY의 모든 호출에 대한 리턴값을 출력한다.

서브태스크

번호배점제한
117

1 ≤ N ≤ 10, M = 0, X[i], Y[i] ≤ 10, X[0] · X[1] · ... · X[N-1] ≤ 1,000

217

1 ≤ N ≤ 1,000, 0 ≤ M ≤ 1,000

320

1 ≤ N ≤ 500,000, 0 ≤ M ≤ 100,000, init과 updateX에 대해서 각각 X[i] ≥ 2 이고 val ≥ 2

423

1 ≤ N ≤ 500,000, 0 ≤ M ≤ 10,000

523

1 ≤ N ≤ 500,000, 0 ≤ M ≤ 100,000

예제 입력 1 

3
2 1 3
3 4 1
1
2 1 2

예제 출력 1 

8
6
[{"problem_id":"10922","problem_lang":"0","title":"\ub9d0","description":"<p>\ub9cc\uc218\ub974\ub294 \uc870\uc0c1\ub4e4\uacfc \ub9c8\ucc2c\uac00\uc9c0\ub85c \ub9d0\uc744 \ud0a4\uc6b0\ub294 \uac83\uc744 \uc88b\uc544\ud55c\ub2e4. \uadf8\ub294 \uce74\uc790\ud750\uc2a4\ud0c4\uc5d0\uc11c \ub9d0\uc744 \uc81c\uc77c \ub9ce\uc774&nbsp;\uac16\uace0 \uc788\ub2e4. \uadf8\ub807\uc9c0\ub9cc \uaf2d \ud56d\uc0c1 \uadf8\ub7ac\ub358 \uac83\uc740 \uc544\ub2cc\ub370, N\ub144 \uc804\uc5d0\ub9cc \ud574\ub3c4 \ub9cc\uc218\ub974\ub294 \uadf8\uc800 \uc80a\uc740\uc774\uc77c \ubfd0\uc774\uc5b4\uc11c \ub9d0\uc774 \ud55c\ub9c8\ub9ac\ubc16\uc5d0 \uc5c6\uc5c8\ub2e4. \ub9cc\uc218\ub974\ub294 \ub3c8\uc744 \ub9ce\uc774 \ubc8c\uc5b4\uc11c \ubd80\uc790\uac00 \ub418\uace0 \uc2f6\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uc2dc\uac04\uc21c\uc73c\ub85c \ub9e4 \ud574\ub97c 0\ubc88 \ud574\ubd80\ud130 N-1\ubc88 \ud574\ub85c \ubc88\ud638\ub97c \ub9e4\uae30\uc790. (\uc989, N-1\ubc88 \ud574\uac00 \uac00\uc7a5 \ucd5c\uadfc\uc774\ub2e4.) \ud574\ub9c8\ub2e4 \ub0a0\uc528\ub294 \ub9d0\uc774 \uc790\ub77c\ub294\ub370 \uc601\ud5a5\uc744 \ubbf8\uce5c\ub2e4. \ub9cc\uc218\ub974\uac00 \uae30\uc5b5\ud558\uae30\ub85c\ub294, i\ubc88 \ud574\uc5d0 \ub9d0\uc758 \ub9c8\ub9bf\uc218\uac00 \ub298\uc5b4\ub09c \ube44\uc728\uc740 \uc591\uc758 \uc815\uc218 X[i]\uc774\ub2e4. \ub9cc\uc57d i\ubc88 \ud574 \uc5f0\ucd08\uc5d0 \ub9d0\uc774 h\ub9c8\ub9ac\uac00 \uc788\uc5c8\ub2e4\uba74, \uadf8 \ud574 \uc5f0\ub9d0\uc5d0\ub294 \ub9d0\uc774 \ubaa8\ub450 h&times;X[i]\ub9c8\ub9ac\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ub9d0\uc740 \ub9e4\ud574 \uc5f0\ub9d0\uc5d0\ub9cc \ud314 \uc218 \uc788\ub2e4. \ub9cc\uc218\ub974\uac00 \uae30\uc5b5\ud558\uae30\ub85c i\ubc88 \ud574\uc758 \ub9d0\uac12\uc740 \uc591\uc758 \uc815\uc218 Y[i]\uc600\ub2e4. \uc989, \ub9e4\ud574 \uc5f0\ub9d0\uc5d0 \uac16\uace0 \uc788\ub294 \ub9d0 \uc911 \ud314 \uc218 \uc788\ub294 \ub9d0\uc758 \uc218\uc5d0\ub294 \uc81c\uc57d\uc774 \uc5c6\uace0, \ub9d0 \ud55c\ub9c8\ub9ac \uac12\uc740 Y[i]\ub85c \ubaa8\ub450 \uac19\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc218\ub974\ub294 \uc9c0\ub09c N\ub144 \ub3d9\uc548, \ub9d0\uc744 \ud30c\ub294 \uc2dc\uae30\ub97c \uc798 \uc815\ud588\ub2e4\uba74 \uc5bc\ub9c8\ub098 \ub9ce\uc740 \ub3c8\uc744 \ubc8c \uc218 \uc788\uc5c8\uc744\uc9c0\uac00 \uad81\uae08\ud574\uc84c\ub2e4. \ub2f9\uc2e0\uc774 \ub9cc\uc218\ub974\ub97c \ubc29\ubb38\ud588\uc744 \ub54c \uc774 \uc9c8\ubb38\uc744 \ubc1b\uac8c \ub418\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uc800\ub141\ub3d9\uc548 \ub9cc\uc218\ub974\uc758 \uae30\uc5b5\uc740 \uc810\uc810 \uc815\ud655\ud574\uc838\uc11c, \ucd1d M\ubc88\uc758 \uc218\uc815\uc744 \ud558\uac8c \ub41c\ub2e4. \uc218\uc815\uc744 \ud55c \ubc88 \ud560 \ub54c\ub9c8\ub2e4 X[i]\uc758 \uac12 \uc911 \ud558\ub098, \ub610\ub294 Y[i]\uc758 \uac12 \uc911 \ud558\ub098\uac00 \ubc14\ub010\ub2e4. \uc218\uc815\uc744 \ud55c \ubc88 \ud560 \ub54c\ub9c8\ub2e4 \ub9cc\uc218\ub974\ub294 \ub9d0\uc744 \ud314\uc544 \uc11c \ubc8c \uc218 \uc788\ub294 \ub3c8\uc758 \ucd5c\ub313\uac12\uc744 \ubb3c\uc5b4\ubcf8\ub2e4. \ub9cc\uc218\ub974\uac00 \uc218\uc815\ud560 \ub54c\ub9c8\ub2e4, \uc218\uc815\ub41c \ub0b4\uc6a9\ub4e4\uc740 \ub204\uc801\ub41c\ub2e4. \uc989, \ub9cc\uc218\ub974\uc5d0\uac8c \ub300\ub2f5\ud560 \ub54c\ub294 \uc9c0\uae08\uae4c\uc9c0 \ub9cc\uc218\ub974\uac00 \ud55c \uc218\uc815\ub4e4\uc744 \ubaa8\ub450 \ubc18\uc601\ud574\uc57c \ud55c\ub2e4. \ud55c X[i] \ub610\ub294 Y[i]\uac00 \uc5ec\ub7ec \ubc88 \uc218\uc815\ub418\ub294 \uacbd\uc6b0\ub3c4 \uac00\ub2a5\ud558\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc218\ub974\uc758 \uc9c8\ubb38\uc5d0 \ub300\ud55c \ub2f5\uc740 \ub9e4\uc6b0 \ud070 \uc218\uc77c \uc218 \uc788\ub2e4. \ud070 \uc218\ub97c \ub2e4\ub8f0 \ub54c \uc0dd\uae30\ub294 \ubb38\uc81c\ub97c \ud53c\ud558\uae30 \uc704\ud574\uc11c, \ub2f5\uc744 10<sup>9<\/sup>+7\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \uc54c\ub824\uc8fc\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>N = 3\ub144\uc5d0 \ub300\ud574\uc11c \ub2e4\uc74c\uacfc \uac19\uc740 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc84c\ub2e4\uace0 \ud558\uc790.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:20%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>&nbsp;<\/th>\r\n\t\t\t<th>0<\/th>\r\n\t\t\t<th>1<\/th>\r\n\t\t\t<th>2<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>X<\/th>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th>Y<\/th>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\uc774 \ucd08\uae30 \uc815\ubcf4\ub97c \uac00\uc9c0\uace0, \ub9cc\uc218\ub974\ub294 1\ubc88 \ud574 \uc5f0\ub9d0\uc5d0 \ubaa8\ub4e0 \ub9d0\uc744 \ub2e4 \ud314\uc558\ub2e4\uba74 \uac00\uc7a5 \ub9ce\uc740 \ub3c8\uc744 \ubc8c \uc218 \uc788\ub2e4. \uc804\uccb4 \uacfc\uc815\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ucc98\uc74c\uc5d0 \ub9cc\uc218\ub974\ub294 \ub9d0\uc774 \ud55c \ub9c8\ub9ac \uc788\ub2e4.<\/li>\r\n\t<li>0\ubc88 \ud574 \uc5f0\ub9d0\uc5d0 \ub9cc\uc218\ub974\ub294 1&times;X[0] = 2\ub9c8\ub9ac\uc758 \ub9d0\uc774 \uc788\ub2e4.<\/li>\r\n\t<li>1\ubc88 \ud574 \uc5f0\ub9d0\uc5d0 \ub9cc\uc218\ub974\ub294 2&times;X[1] = 2\ub9c8\ub9ac\uc758 \ub9d0\uc774 \uc788\ub2e4.<\/li>\r\n\t<li>\uc774\uc81c \ub9d0 \ub450 \ub9c8\ub9ac\ub97c \ubaa8\ub450 \ud314 \uc218 \uc788\ub2e4. \uc804\uccb4 \uc774\uc775\uc740 2&times;Y[1] = 8\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc774\uc81c, M = 1\ubc88 \uc218\uc815\uc744 \ud558\uc5ec Y[1]\uc774 2\ub85c \ubc14\ub00c\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uc218\uc815 \ud6c4\uc758 \uc815\ubcf4\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:20%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>&nbsp;<\/th>\r\n\t\t\t<th>0<\/th>\r\n\t\t\t<th>1<\/th>\r\n\t\t\t<th>2<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>X<\/th>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th>Y<\/th>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\uc774 \uacbd\uc6b0, \ucd5c\uc801\ud574 \uc911 \ud558\ub098\ub294 \ud55c \ub9c8\ub9ac\ub97c 0\ubc88 \ud574 \uc5f0\ub9d0\uc5d0 \ud314\uace0 2\ubc88 \ud574 \uc5f0\ub9d0\uc5d0 \uc138 \ub9c8\ub9ac\ub97c \ud30c\ub294 \uac83\uc774\ub2e4. \uc804\uccb4 \uacfc\uc815\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4<\/p>\r\n\r\n<ul>\r\n\t<li>\ucc98\uc74c\uc5d0 \ub9cc\uc218\ub974\ub294 \ub9d0\uc774 \ud55c \ub9c8\ub9ac \uc788\ub2e4.<\/li>\r\n\t<li>0\ubc88 \ud574 \uc5f0\ub9d0\uc5d0 \ub9cc\uc218\ub974\ub294 1&times;X[0] = 2\ub9c8\ub9ac\uc758 \ub9d0\uc774 \uc788\ub2e4.<\/li>\r\n\t<li>\uc774\uc81c \uc774 \uc911 \ud55c \ub9c8\ub9ac\ub97c Y[0] = 3\uc5d0 \ud314 \uc218 \uc788\uace0, \ud55c \ub9c8\ub9ac\uac00 \ub0a8\uc544 \uc788\ub2e4.<\/li>\r\n\t<li>1\ubc88 \ud574 \uc5f0\ub9d0\uc5d0 \ub9cc\uc218\ub974\ub294 1&times;X[1] = 1\ub9c8\ub9ac\uc758 \ub9d0\uc774 \uc788\ub2e4.<\/li>\r\n\t<li>2\ubc88 \ud574 \uc5f0\ub9d0\uc5d0 \ub9cc\uc218\ub974\ub294 1&times;X[2] = 3\ub9c8\ub9ac\uc758 \ub9d0\uc774 \uc788\ub2e4.<\/li>\r\n\t<li>\uc774\uc81c \ub9d0 \uc138 \ub9c8\ub9ac\ub97c \ubaa8\ub450 3&times;Y[2] = 3\uc5d0 \ud314 \uc218 \uc788\ub2e4. \uc804\uccb4 \uc774\uc775\uc740 3 + 3 = 6\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>N, X, Y\uc640 \uc218\uc815\ub41c \ub0b4\uc6a9\uc758 \ub9ac\uc2a4\ud2b8\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uccab \ubc88\uc9f8 \uc218\uc815\uc744 \ud558\uae30 \uc804\uacfc, \ub9e4\ubc88 \uc218\uc815\uc744 \ud55c \ub2e4\uc74c\uc5d0 \ub300\ud574\uc11c \ub9cc\uc218\ub974\uac00 \ub9d0\uc744 \ud314\uc544\uc11c \ubc8c \uc218 \uc788\ub294 \ub3c8\uc758 \ucd5c\ub313\uac12\uc744 10<sup>9<\/sup>+7\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \uad6c\ud558\ub77c. \uc774\ub97c \uc704\ud574\uc11c \ud568\uc218 init, updateX, updateY\ub97c \uad6c\ud604\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>init(N, X, Y) &mdash; \uadf8\ub808\uc774\ub354\ub294 \uc774 \ud568\uc218\ub97c \ub9e8 \ucc98\uc74c \uc815\ud655\ud788 \ud55c \ubc88 \ud638\ucd9c\ud55c\ub2e4.\r\n\t<ul>\r\n\t\t<li>N: \uc804\uccb4 \ud574 \uc218<\/li>\r\n\t\t<li>X: \uae38\uc774 N\uc778 \ubc30\uc5f4. 0 &le; i &le; N-1\uc77c \ub54c, X[i]\ub294 i\ubc88 \ud574 \uc5f0\ub9d0\uc5d0 \ub9d0\uc758 \ub9c8\ub9bf\uc218\uac00 \ub298\uc5b4\ub09c \ube44\uc728\uc774\ub2e4.<\/li>\r\n\t\t<li>Y: \uae38\uc774 N\uc778 \ubc30\uc5f4. 0 &le; i &le; N-1\uc77c \ub54c, Y[i]\ub294 i\ubc88 \ud574 \uc5f0\ub9d0\uc5d0 \ub9d0 \ud55c\ub9c8\ub9ac\uc758 \uac12\uc774\ub2e4.<\/li>\r\n\t\t<li>X\uc640 Y\ub294 \ub9cc\uc218\ub974\uac00 \ucc98\uc74c\uc5d0 \uc900 \uac12\uc744 \ub098\ud0c0\ub0b8\ub2e4. (\uc218\uc815\uc744 \ud558\uae30 \uc804\uc758 \uac12)<\/li>\r\n\t\t<li>init \ud568\uc218\uac00 \uc885\ub8cc\ud55c \ud6c4, \ubc30\uc5f4 X\uc640 Y\ub294 \uc720\ud6a8\ud55c \uc8fc\uc18c\uc5d0 \uc788\uc73c\uba70, \uc6d0\ud55c\ub2e4\uba74 \uc774 \ubc30\uc5f4\uc758 \ub0b4\uc6a9\uc744 \uc218\uc815\ud560 \uc218 \uc788\ub2e4.<\/li>\r\n\t\t<li>\uc774 \ud568\uc218\ub294 X\uc640 Y\uc758 \ucd08\uae30\uac12\uc744 \uac00\uc9c0\uace0 \ub9cc\uc218\ub974\uac00 \ub9d0\uc744 \ud314\uc544\uc11c \ubc8c \uc218 \uc788\ub294 \ub3c8\uc758 \ucd5c\ub313\uac12\uc744 10<sup>9<\/sup>+7\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ub9ac\ud134\ud574\uc57c \ud55c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>updateX(pos, val)\r\n\t<ul>\r\n\t\t<li>pos: 0, ..., N-1 \ubc94\uc704 \ub0b4\uc758 \uc815\uc218.<\/li>\r\n\t\t<li>val: X[pos]\uc758 \uc0c8\ub85c\uc6b4 \uac12.<\/li>\r\n\t\t<li>\uc774 \ud568\uc218\ub294 \uc8fc\uc5b4\uc9c4 \uc815\ubcf4\uc5d0 \ub530\ub77c \uc218\uc815\uc744 \ud55c \ud6c4, \ub9cc\uc218\ub974\uac00 \ub9d0\uc744 \ud314\uc544\uc11c \ubc8c \uc218 \uc788\ub294 \ub3c8\uc758 \ucd5c\ub313\uac12\uc744 10<sup>9<\/sup>+7\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ub9ac\ud134\ud574\uc57c \ud55c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>updateY(pos, val)\r\n\t<ul>\r\n\t\t<li>pos: 0, ..., N-1 \ubc94\uc704 \ub0b4\uc758 \uc815\uc218.<\/li>\r\n\t\t<li>val: Y[pos]\uc758 \uc0c8\ub85c\uc6b4 \uac12.<\/li>\r\n\t\t<li>\uc774 \ud568\uc218\ub294 \uc8fc\uc5b4\uc9c4 \uc815\ubcf4\uc5d0 \ub530\ub77c \uc218\uc815\uc744 \ud55c \ud6c4, \ub9cc\uc218\ub974\uac00 \ub9d0\uc744 \ud314\uc544\uc11c \ubc8c \uc218 \uc788\ub294 \ub3c8\uc758 \ucd5c\ub313\uac12\uc744 10<sup>9<\/sup>+7\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ub9ac\ud134\ud574\uc57c \ud55c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>\ubaa8\ub4e0 X[i]\uc640 Y[i]\uc758 \uac12\uc740 \ud56d\uc0c1 (\uc989, \ucc98\uc74c\uc5d0\ub3c4, \ub9e4\ubc88 \uc218\uc815\uc744 \ud55c \ub2e4\uc74c\uc5d0\ub3c4) 1\uc774\uc0c1 10<sup>9<\/sup>\uc774\ud558\ub97c \ub9cc\uc871\ud55c\ub2e4.<\/p>\r\n\r\n<p>init\uc744 \ud638\ucd9c\ud55c \ud6c4, \uadf8\ub808\uc774\ub354\ub294 updateX\uc640 updateY\ub97c \uc5ec\ub7ec \ubc88 \ud638\ucd9c\ud560 \uac83\uc774\ub2e4. updateX\uc640 updateY\uc758 \uc804\uccb4 \ud638\ucd9c \ud68c\uc218\ub294 M\uc774\ub2e4.<\/p>\r\n","input":"<ul>\r\n\t<li>1\ubc88 \uc904: N<\/li>\r\n\t<li>2\ubc88 \uc904: X[0] &hellip; X[N - 1]<\/li>\r\n\t<li>3\ubc88 \uc904: Y[0] &hellip; Y[N - 1]<\/li>\r\n\t<li>4\ubc88 \uc904: M<\/li>\r\n\t<li>5 ~ M + 4\ubc88 \uc904: type pos val\uc5d0 \ud574\ub2f9\ud558\ub294 \uc138 \uc22b\uc790 (type=1\uc774\uba74 updateX\uc774\uace0 type=2\uc774\uba74 updateY).<\/li>\r\n<\/ul>\r\n","output":"<p>\ucc98\uc74c init\uc758 \ub9ac\ud134\uac12\uc744 \ucd9c\ub825\ud558\uace0, \ucc28\ub840\ub85c updateX\uc640 updateY\uc758 \ubaa8\ub4e0 \ud638\ucd9c\uc5d0 \ub300\ud55c \ub9ac\ud134\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","subtask1":"<p>1 &le; N &le; 10, M = 0, X[i], Y[i] &le; 10, X[0]&nbsp;&middot; X[1]&nbsp;&middot; ...&nbsp;&middot; X[N-1] &le; 1,000<\/p>\r\n","subtask2":"<p>1 &le; N &le; 1,000, 0 &le; M &le; 1,000<\/p>\r\n","subtask3":"<p>1 &le; N &le; 500,000, 0 &le; M &le; 100,000, init\uacfc updateX\uc5d0 \ub300\ud574\uc11c \uac01\uac01 X[i] &ge; 2 \uc774\uace0 val &ge; 2<\/p>\r\n","subtask4":"<p>1 &le; N &le; 500,000, 0 &le; M &le; 10,000<\/p>\r\n","subtask5":"<p>1 &le; N &le; 500,000, 0 &le; M &le; 100,000<\/p>\r\n"},{"problem_id":"10922","problem_lang":"1","title":"Horses","description":"<p>Mansur loves to breed horses, just like his ancient ancestors did. He now has the largest herd in Kazakhstan. But this was not always the case. N years ago, Mansur was just a dzhigit (Kazakh for a young man) and he only had a single horse. He dreamed to make a lot of money and to finally become a bai (Kazakh for a very rich person).<\/p>\r\n\r\n<p>Let us number the years from 0 to N-1 in chronological order (i.e., year N-1 is the most recent one). The weather of each year influenced the growth of the herd. For each year i, Mansur remembers a positive integer growth coefficient X[i]. If you started year i with h horses, you ended the year with h&times;X[i] horses in your herd.<\/p>\r\n\r\n<p>Horses could only be sold at the end of a year. For each year i, Mansur remembers a positive integer Y[i]: the price for which he could sell a horse at the end of year i. After each year, it was possible to sell arbitrarily many horses, each at the same price Y[i].<\/p>\r\n\r\n<p>Mansur wonders what is the largest amount of money he could have now if he had chosen the best moments to sell his horses during the N years. You have the honor of being a guest on Mansur&rsquo;s toi (Kazakh for holiday), and he asked you to answer this question.<\/p>\r\n\r\n<p>Mansur&rsquo;s memory improves throughout the evening, and so he makes a sequence of M updates. Each update will change either one of the values X[i] or one of the values Y[i]. After each update he again asks you the largest amount of money he could have earned by selling his horses. Mansur&rsquo;s updates are cumulative: each of your answers should take into account all of the previous updates. Note that a single X[i] or Y[i] may be updated multiple times.<\/p>\r\n\r\n<p>The actual answers to Mansur&rsquo;s questions can be huge. In order to avoid working with large numbers, you are only required to report the answers modulo 10<sup>9<\/sup>+7.<\/p>\r\n\r\n<p>Suppose that there are N = 3 years, with the following information:<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:20%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>&nbsp;<\/th>\r\n\t\t\t<th>0<\/th>\r\n\t\t\t<th>1<\/th>\r\n\t\t\t<th>2<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>X<\/th>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th>Y<\/th>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>For these initial values, Mansur can earn the most if he sells both his horses at the end of year 1. The entire process will look as follows:<\/p>\r\n\r\n<ul>\r\n\t<li>Initially, Mansur has 1 horse.<\/li>\r\n\t<li>After year 0 he will have 1&times;X[0] = 2 horses.<\/li>\r\n\t<li>After year 1 he will have 2&times;X[1] = 2horses.<\/li>\r\n\t<li>He can now sell those two horses. The total profit will be 2&times;Y[1] = 8.<\/li>\r\n<\/ul>\r\n\r\n<p>Then, suppose that there is M = 1 update: changing Y[1] to 2.<\/p>\r\n\r\n<p>After the update we will have:<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:20%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>&nbsp;<\/th>\r\n\t\t\t<th>0<\/th>\r\n\t\t\t<th>1<\/th>\r\n\t\t\t<th>2<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>X<\/th>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th>Y<\/th>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>In this case, one of the optimalsolutions is to sell one horse after year 0 and then three horses after year 2. The entire process will look as follows:<\/p>\r\n\r\n<ul>\r\n\t<li>Initially, Mansur has 1 horse.<\/li>\r\n\t<li>After year 0 he will have 1&times;X[0] = 2 horses.<\/li>\r\n\t<li>He can now sell one of those horses for Y[0] = 3, and have one horse left.<\/li>\r\n\t<li>After year 1 he will have 1&times;X[1] = 1 horse.<\/li>\r\n\t<li>After year 2 he will have 1&times;X[2] = 3 horses.<\/li>\r\n\t<li>He can now sell those three horses for 3&times;Y[2] = 3. The total amount of money is 3 + 3 = 6.<\/li>\r\n<\/ul>\r\n\r\n<p>You are given N, X, Y, and the list of updates. Before the first update, and after every update, compute the maximal amount of money that Mansur could get for his horses, modulo 10<sup>9<\/sup>+7. You need to implement the functions init, updateX, and updateY.<\/p>\r\n\r\n<ul>\r\n\t<li>init(N, X, Y) &mdash; The grader will call this function first and exactly once.\r\n\t<ul>\r\n\t\t<li>N: the number of years.<\/li>\r\n\t\t<li>X: an array of length N. For 0 &le; i &le; N-1, X[i] gives the growth coefficient for year i.<\/li>\r\n\t\t<li>Y: an array of length N. For 0 &le; i &le; N-1, Y[i] gives the price of a horse after year i.<\/li>\r\n\t\t<li>Note that both X and Y specify the initial values given by Mansur (before any updates).<\/li>\r\n\t\t<li>After init terminates, the arrays X and Y remain valid, and you may modify their contents if you wish.<\/li>\r\n\t\t<li>The function should return the maximal amount of money Mansur could get for these initial values of X and Y, modulo 10<sup>9<\/sup>+7.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>updateX(pos, val)\r\n\t<ul>\r\n\t\t<li>pos: an integer from the range 0, ..., N-1.<\/li>\r\n\t\t<li>val: the new value for X[pos].<\/li>\r\n\t\t<li>The function should return the maximal amount of money Mansur could get after this update, modulo 10<sup>9<\/sup>+7.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>updateY(pos, val)\r\n\t<ul>\r\n\t\t<li>pos: an integer from the range 0, ..., N-1.<\/li>\r\n\t\t<li>val: the new value for Y[pos].<\/li>\r\n\t\t<li>The function should return the maximal amount of money Mansur could get after this update, modulo 10<sup>9<\/sup>+7.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>You may assume that all the initial, as well as updated values of X[i] and Y[i] are between 1 and 10<sup>9<\/sup> inclusive.<\/p>\r\n\r\n<p>After calling init, the grader will call updateX and updateY several times. The total number of calls to updateX and updateY will be M.<\/p>\r\n","input":"<ul>\r\n\t<li>line 1: N<\/li>\r\n\t<li>line 2: X[0] &hellip; X[N - 1]<\/li>\r\n\t<li>line 3: Y[0] &hellip; Y[N - 1]<\/li>\r\n\t<li>line 4: M<\/li>\r\n\t<li>lines 5, &hellip;, M + 4: three numbers type pos val (type=1 for updateX and type=2 for updateY).<\/li>\r\n<\/ul>\r\n","output":"<p>Prints the return value of init followed by the return values of all calls to updateX and updateY.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English","subtask1":"<p>1 &le; N &le; 10, M = 0, X[i], Y[i] &le; 10, X[0]&nbsp;&middot; X[1]&nbsp;&middot; ...&nbsp;&middot; X[N-1] &le; 1,000<\/p>\r\n","subtask2":"<p>1 &le; N &le; 1,000, 0 &le; M &le; 1,000<\/p>\r\n","subtask3":"<p>1 &le; N &le; 500,000, 0 &le; M &le; 100,000,&nbsp;X[i] &ge; 2 and val &ge; 2 for init and updateX correspondingly<\/p>\r\n","subtask4":"<p>1 &le; N &le; 500,000, 0 &le; M &le; 10,000<\/p>\r\n","subtask5":"<p>1 &le; N &le; 500,000, 0 &le; M &le; 100,000<\/p>\r\n"}]

출처

Olympiad > International Olympiad in Informatics > IOI 2015 > Day 2 4번

채점 및 기타 정보

  • 예제는 채점하지 않는다.

Baekjoon Online Judge

채점 현황

문제

유저 대회

고등학교 대회

출처

대학교 대회

도움말

© 2023 All Rights Reserved. 주식회사 스타트링크 | 서비스 약관 | 개인정보 보호 | 결제 이용 약관 | 도움말 | 광고 문의 | 업데이트 노트 | 이슈 | TODO

  • 사업자 등록 번호: 541-88-00682
  • 대표자명: 최백준
  • 주소: 서울시 서초구 서초대로74길 29 서초파라곤 412호
  • 전화번호: 02-521-0487 (이메일로 연락 주세요)
  • 이메일: contacts@startlink.io
  • 통신판매신고번호: 제 2017-서울서초-2193 호

한국어 | English (Beta)