시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
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문제

수마트라의 열대 밀림에, 왼쪽부터 오른쪽으로 0부터 $N - 1$까지 번호가 매겨진 $N$ 그루의 나무가 있다. 각각의 나무의 높이는 모두 다르다. 나무 $i$의 높이는 $H[i]$이다.

이 교수는 오랑우탄을 훈련시켜서 나무 사이를 점프해서 다니게 하고 있다. 한번 점프할 때, 오랑우탄은 현재 있는 나무의 꼭대기에서, 왼쪽 또는 오른쪽으로 현재 나무 높이보다 더 높은 가장 가까운 나무로 점프할 수 있다. 엄밀하게는, 현재 오랑우탄이 나무 $x$에 있다면 점프해서 이동하게 되는 나무가 $y$라는 것은 다음 두 조건 중 하나를 만족한다는 것과 동치이다.

  • $y$는 $H[y] > H[x]$이자 $x$보다 작은 가장 큰 음이 아닌 정수이다. 또는
  • $y$는 $H[y] > H[x]$이자 $x$보다 큰 가장 작은 음이 아닌 정수이다.

이 교수는 오랑우탄을 점프시킬 $Q$ 가지의 계획을 가지고 있다. 각 계획은 네 정수 $A$, $B$, $C$, $D$ ($A \le B < C \le D$)로 표현된다. 이 교수는 오랑우탄이 어떤 나무 $s$ ($A \le s \le B$)에서 시작해서 점프를 통해서 최종적으로 나무 $e$ ($C \le e \le D$)에 도착할 수 있는 지 알고 싶다. 만약 가능하다면, 오랑우탄이 최소 횟수 점프를 해서 이 계획을 달성하게 하고 싶다.

상세 구현

다음 함수를 구현해야 한다.

void init(int N, int[] H)
  • $N$: 나무의 수
  • $H$: 길이 $N$인 배열로, $H[i]$는 나무 $i$의 높이이다.
  • 이 함수는 minimum_jumps를 호출하기 전 정확하게 한 번 호출된다.
int minimum_jumps(int A, int B, int C, int D)
  • $A$, $B$:오랑우탄이 출발하는 나무의 범위
  • $C$, $D$: 오랑우탄이 최종 도착하는 나무의 범위
  • 이 함수는 오랑우탄이 계획을 달성할 수 있는 최소 횟수의 점프를 리턴하거나, 계획을 달성하는 것이 불가능하다면 −1을 리턴해야 한다.
  • 이 함수는 정확히 $Q$번 호출된다.

예제

다음 호출을 생각해보자.

init(7, [3, 2, 1, 6, 4, 5, 7])

초기화가 끝난 다음, 다음 호출을 생각해보자.

minimum_jumps(4, 4, 6, 6)

이는 오랑우탄이 4번 나무 (높이 4)에서 시작해서 6번 나무 (높이 7)에 최종 도착해야 한다는 뜻이다. 점프의 횟수를 최소로 하는 방법 중 하나는 먼저 3번 나무(높이 6)으로 점프한 다음, 6번 나무로 점프하는 것이다. 다른 방법은 5번 나무 (높이 5)로 점프한 다음, 6번 나무로 점프하는 것이다. 따라서, minimum_jumps 함수는 2를 리턴해야 한다.

다른 가능한 호출을 생각해보자.

minimum_jumps(1, 3, 5, 6)

이는 오랑우탄이 1번 나무 (높이 2), 2번 나무 (높이 1), 3번 나무 (높이 6) 중 하나에서 시작해서 5번 나무 (높이 5) 또는 6번 나무 (높이 7)에 최종 도착해야 한다는 뜻이다. 점프의 횟수를 최소로 하는 유일한 방법은 먼저 3번 나무에서 시작해서 6번 나무로 점프하는 것이다. 따라서, minimum_jumps 함수는 1를 리턴해야 한다.

다른 가능한 호출을 생각해보자.

minimum_jumps(0, 1, 2, 2)

이는 오랑우탄이 0번 나무 (높이 3), 1번 나무 (높이 2) 중 하나에서 시작해서 2번 나무 (높이 1)에 최종 도착해야 한다는 뜻이다. 2번 나무가 가장 높이가 낮은 나무이기 때문에, 다른 나무에서 이 나무로 점프할 수 없다. 따라서, minimum_jumps 함수는 −1을 리턴해야 한다.

제한

  • $2 \le N \le 200\,000$
  • $1 \le Q \le 100\,000$
  • $1 \le H[i] \le N$ (모든 $0 \le i \le N - 1$)
  • $H[i] \neq H[j]$ (모든 $0 \le i < j \le N - 1$)
  • $0 \le A \le B < C \le D \le N - 1$

서브태스크

번호 배점 제한
1 4

$H[i] = i + 1$ (모든 $0 \le i \le N - 1$)

2 8

$N \le 200$, $Q \le 200$

3 13

$N \le 2000$, $Q \le 2000$

4 12

$Q \le 5$

5 23

$A = B$, $C = D$

6 21

$C = D$

7 19

추가적인 제약 조건이 없다.

[{"problem_id":"21852","problem_lang":"0","title":"\ubc00\ub9bc \uc810\ud504","description":"<p>\uc218\ub9c8\ud2b8\ub77c\uc758 \uc5f4\ub300 \ubc00\ub9bc\uc5d0, \uc67c\ucabd\ubd80\ud130 \uc624\ub978\ucabd\uc73c\ub85c 0\ubd80\ud130 $N - 1$\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc9c4 $N$ \uadf8\ub8e8\uc758 \ub098\ubb34\uac00 \uc788\ub2e4. \uac01\uac01\uc758 \ub098\ubb34\uc758 \ub192\uc774\ub294 \ubaa8\ub450 \ub2e4\ub974\ub2e4. \ub098\ubb34 $i$\uc758 \ub192\uc774\ub294 $H[i]$\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc774 \uad50\uc218\ub294 \uc624\ub791\uc6b0\ud0c4\uc744 \ud6c8\ub828\uc2dc\ucf1c\uc11c \ub098\ubb34 \uc0ac\uc774\ub97c \uc810\ud504\ud574\uc11c \ub2e4\ub2c8\uac8c \ud558\uace0 \uc788\ub2e4. \ud55c\ubc88 \uc810\ud504\ud560 \ub54c, \uc624\ub791\uc6b0\ud0c4\uc740 \ud604\uc7ac \uc788\ub294 \ub098\ubb34\uc758 \uaf2d\ub300\uae30\uc5d0\uc11c, \uc67c\ucabd \ub610\ub294 \uc624\ub978\ucabd\uc73c\ub85c \ud604\uc7ac \ub098\ubb34 \ub192\uc774\ubcf4\ub2e4 \ub354 \ub192\uc740 \uac00\uc7a5 \uac00\uae4c\uc6b4 \ub098\ubb34\ub85c \uc810\ud504\ud560 \uc218 \uc788\ub2e4. \uc5c4\ubc00\ud558\uac8c\ub294, \ud604\uc7ac \uc624\ub791\uc6b0\ud0c4\uc774 \ub098\ubb34 $x$\uc5d0 \uc788\ub2e4\uba74 \uc810\ud504\ud574\uc11c \uc774\ub3d9\ud558\uac8c \ub418\ub294 \ub098\ubb34\uac00 $y$\ub77c\ub294 \uac83\uc740 \ub2e4\uc74c \ub450 \uc870\uac74 \uc911 \ud558\ub098\ub97c \ub9cc\uc871\ud55c\ub2e4\ub294 \uac83\uacfc \ub3d9\uce58\uc774\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>$y$\ub294 $H[y] &gt; H[x]$\uc774\uc790 $x$\ubcf4\ub2e4 \uc791\uc740 \uac00\uc7a5 \ud070 \uc74c\uc774 \uc544\ub2cc \uc815\uc218\uc774\ub2e4. \ub610\ub294<\/li>\r\n\t<li>$y$\ub294 $H[y] &gt; H[x]$\uc774\uc790 $x$\ubcf4\ub2e4 \ud070 \uac00\uc7a5 \uc791\uc740 \uc74c\uc774 \uc544\ub2cc \uc815\uc218\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc774 \uad50\uc218\ub294 \uc624\ub791\uc6b0\ud0c4\uc744 \uc810\ud504\uc2dc\ud0ac $Q$ \uac00\uc9c0\uc758 \uacc4\ud68d\uc744 \uac00\uc9c0\uace0 \uc788\ub2e4. \uac01 \uacc4\ud68d\uc740 \ub124 \uc815\uc218 $A$,&nbsp;$B$, $C$, $D$ ($A \\le B &lt; C \\le D$)\ub85c \ud45c\ud604\ub41c\ub2e4. \uc774 \uad50\uc218\ub294 \uc624\ub791\uc6b0\ud0c4\uc774 \uc5b4\ub5a4 \ub098\ubb34 $s$ ($A \\le s \\le B$)\uc5d0\uc11c \uc2dc\uc791\ud574\uc11c \uc810\ud504\ub97c \ud1b5\ud574\uc11c \ucd5c\uc885\uc801\uc73c\ub85c \ub098\ubb34 $e$ ($C \\le e \\le D$)\uc5d0 \ub3c4\ucc29\ud560 \uc218 \uc788\ub294 \uc9c0 \uc54c\uace0 \uc2f6\ub2e4. \ub9cc\uc57d \uac00\ub2a5\ud558\ub2e4\uba74, \uc624\ub791\uc6b0\ud0c4\uc774 \ucd5c\uc18c \ud69f\uc218 \uc810\ud504\ub97c \ud574\uc11c \uc774 \uacc4\ud68d\uc744 \ub2ec\uc131\ud558\uac8c \ud558\uace0 \uc2f6\ub2e4.<\/p>\r\n","input":"","output":"","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$2 \\le N \\le 200\\,000$<\/li>\r\n\t<li>$1 \\le Q \\le 100\\,000$<\/li>\r\n\t<li>$1 \\le H[i] \\le N$ (\ubaa8\ub4e0 $0 \\le i \\le N - 1$)<\/li>\r\n\t<li>$H[i] \\neq H[j]$ (\ubaa8\ub4e0 $0 \\le i &lt; j \\le N - 1$)<\/li>\r\n\t<li>$0 \\le A \\le B &lt; C \\le D \\le N - 1$<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$H[i] = i + 1$ (\ubaa8\ub4e0 $0 \\le i \\le N - 1$)<\/p>\r\n","subtask2":"<p>$N \\le 200$, $Q \\le 200$<\/p>\r\n","subtask3":"<p>$N \\le 2000$, $Q \\le 2000$<\/p>\r\n","subtask4":"<p>$Q \\le 5$<\/p>\r\n","subtask5":"<p>$A = B$, $C = D$<\/p>\r\n","subtask6":"<p>$C = D$<\/p>\r\n","subtask7":"<p>\ucd94\uac00\uc801\uc778 \uc81c\uc57d \uc870\uac74\uc774 \uc5c6\ub2e4.<\/p>\r\n","custom_implementation":"<p>\ub2e4\uc74c \ud568\uc218\ub97c \uad6c\ud604\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<pre>\r\nvoid init(int N, int[] H)<\/pre>\r\n\r\n<ul>\r\n\t<li>$N$: \ub098\ubb34\uc758 \uc218<\/li>\r\n\t<li>$H$: \uae38\uc774 $N$\uc778 \ubc30\uc5f4\ub85c, $H[i]$\ub294 \ub098\ubb34 $i$\uc758 \ub192\uc774\uc774\ub2e4.<\/li>\r\n\t<li>\uc774 \ud568\uc218\ub294 <code>minimum_jumps<\/code>\ub97c \ud638\ucd9c\ud558\uae30 \uc804 \uc815\ud655\ud558\uac8c \ud55c \ubc88 \ud638\ucd9c\ub41c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<pre>\r\nint minimum_jumps(int A, int B, int C, int D)<\/pre>\r\n\r\n<ul>\r\n\t<li>$A$, $B$:\uc624\ub791\uc6b0\ud0c4\uc774 \ucd9c\ubc1c\ud558\ub294 \ub098\ubb34\uc758 \ubc94\uc704<\/li>\r\n\t<li>$C$, $D$: \uc624\ub791\uc6b0\ud0c4\uc774 \ucd5c\uc885 \ub3c4\ucc29\ud558\ub294 \ub098\ubb34\uc758 \ubc94\uc704<\/li>\r\n\t<li>\uc774 \ud568\uc218\ub294 \uc624\ub791\uc6b0\ud0c4\uc774 \uacc4\ud68d\uc744 \ub2ec\uc131\ud560 \uc218 \uc788\ub294 \ucd5c\uc18c \ud69f\uc218\uc758 \uc810\ud504\ub97c \ub9ac\ud134\ud558\uac70\ub098, \uacc4\ud68d\uc744 \ub2ec\uc131\ud558\ub294 \uac83\uc774 \ubd88\uac00\ub2a5\ud558\ub2e4\uba74 &minus;1\uc744 \ub9ac\ud134\ud574\uc57c \ud55c\ub2e4.<\/li>\r\n\t<li>\uc774 \ud568\uc218\ub294 \uc815\ud655\ud788 $Q$\ubc88 \ud638\ucd9c\ub41c\ub2e4.<\/li>\r\n<\/ul>\r\n","custom_sample":"<p>\ub2e4\uc74c \ud638\ucd9c\uc744 \uc0dd\uac01\ud574\ubcf4\uc790.<\/p>\r\n\r\n<pre>\r\ninit(7, [3, 2, 1, 6, 4, 5, 7])<\/pre>\r\n\r\n<p>\ucd08\uae30\ud654\uac00 \ub05d\ub09c \ub2e4\uc74c, \ub2e4\uc74c \ud638\ucd9c\uc744 \uc0dd\uac01\ud574\ubcf4\uc790.<\/p>\r\n\r\n<pre>\r\nminimum_jumps(4, 4, 6, 6)<\/pre>\r\n\r\n<p>\uc774\ub294 \uc624\ub791\uc6b0\ud0c4\uc774 4\ubc88 \ub098\ubb34 (\ub192\uc774 4)\uc5d0\uc11c \uc2dc\uc791\ud574\uc11c 6\ubc88 \ub098\ubb34 (\ub192\uc774 7)\uc5d0 \ucd5c\uc885 \ub3c4\ucc29\ud574\uc57c \ud55c\ub2e4\ub294 \ub73b\uc774\ub2e4. \uc810\ud504\uc758 \ud69f\uc218\ub97c \ucd5c\uc18c\ub85c \ud558\ub294 \ubc29\ubc95 \uc911 \ud558\ub098\ub294 \uba3c\uc800 3\ubc88 \ub098\ubb34(\ub192\uc774 6)\uc73c\ub85c \uc810\ud504\ud55c \ub2e4\uc74c, 6\ubc88 \ub098\ubb34\ub85c \uc810\ud504\ud558\ub294 \uac83\uc774\ub2e4. \ub2e4\ub978 \ubc29\ubc95\uc740 5\ubc88 \ub098\ubb34 (\ub192\uc774 5)\ub85c \uc810\ud504\ud55c \ub2e4\uc74c, 6\ubc88 \ub098\ubb34\ub85c \uc810\ud504\ud558\ub294 \uac83\uc774\ub2e4. \ub530\ub77c\uc11c, <code>minimum_jumps<\/code> \ud568\uc218\ub294 2\ub97c \ub9ac\ud134\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\ub978 \uac00\ub2a5\ud55c \ud638\ucd9c\uc744 \uc0dd\uac01\ud574\ubcf4\uc790.<\/p>\r\n\r\n<pre>\r\nminimum_jumps(1, 3, 5, 6)<\/pre>\r\n\r\n<p>\uc774\ub294 \uc624\ub791\uc6b0\ud0c4\uc774 1\ubc88 \ub098\ubb34 (\ub192\uc774 2), 2\ubc88 \ub098\ubb34 (\ub192\uc774 1), 3\ubc88 \ub098\ubb34 (\ub192\uc774 6) \uc911 \ud558\ub098\uc5d0\uc11c \uc2dc\uc791\ud574\uc11c 5\ubc88 \ub098\ubb34 (\ub192\uc774 5) \ub610\ub294 6\ubc88 \ub098\ubb34 (\ub192\uc774 7)\uc5d0 \ucd5c\uc885 \ub3c4\ucc29\ud574\uc57c \ud55c\ub2e4\ub294 \ub73b\uc774\ub2e4. \uc810\ud504\uc758 \ud69f\uc218\ub97c \ucd5c\uc18c\ub85c \ud558\ub294 \uc720\uc77c\ud55c \ubc29\ubc95\uc740 \uba3c\uc800 3\ubc88 \ub098\ubb34\uc5d0\uc11c \uc2dc\uc791\ud574\uc11c 6\ubc88 \ub098\ubb34\ub85c \uc810\ud504\ud558\ub294 \uac83\uc774\ub2e4. \ub530\ub77c\uc11c, <code>minimum_jumps<\/code> \ud568\uc218\ub294 1\ub97c \ub9ac\ud134\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\ub978 \uac00\ub2a5\ud55c \ud638\ucd9c\uc744 \uc0dd\uac01\ud574\ubcf4\uc790.<\/p>\r\n\r\n<pre>\r\nminimum_jumps(0, 1, 2, 2)<\/pre>\r\n\r\n<p>\uc774\ub294 \uc624\ub791\uc6b0\ud0c4\uc774 0\ubc88 \ub098\ubb34 (\ub192\uc774 3), 1\ubc88 \ub098\ubb34 (\ub192\uc774 2) \uc911 \ud558\ub098\uc5d0\uc11c \uc2dc\uc791\ud574\uc11c 2\ubc88 \ub098\ubb34 (\ub192\uc774 1)\uc5d0 \ucd5c\uc885 \ub3c4\ucc29\ud574\uc57c \ud55c\ub2e4\ub294 \ub73b\uc774\ub2e4. 2\ubc88 \ub098\ubb34\uac00 \uac00\uc7a5 \ub192\uc774\uac00 \ub0ae\uc740 \ub098\ubb34\uc774\uae30 \ub54c\ubb38\uc5d0, \ub2e4\ub978 \ub098\ubb34\uc5d0\uc11c \uc774 \ub098\ubb34\ub85c \uc810\ud504\ud560 \uc218 \uc5c6\ub2e4. \ub530\ub77c\uc11c, <code>minimum_jumps<\/code> \ud568\uc218\ub294 &minus;1\uc744 \ub9ac\ud134\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n","custom_grader":"<p>\uc0d8\ud50c \uadf8\ub808\uc774\ub354\ub294 \ub2e4\uc74c \uc591\uc2dd\uc73c\ub85c \uc785\ub825\uc744 \uc77d\ub294\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>line 1: $N$ $Q$<\/li>\r\n\t<li>line 2: $H[0]$ $H[1]$ $\\cdots$ $H[N -&nbsp;1]$<\/li>\r\n\t<li>line 3 + $i$ ($0 \\le i \\le Q - 1$): <code>minimum_jumps<\/code> \ud568\uc218\ub97c $i$\ubc88\uc9f8 \ud638\ucd9c\ud588\uc744 \ub54c \uc785\ub825 $A$&nbsp;$B$ $C$ $D$<\/li>\r\n<\/ul>\r\n\r\n<p>\uc0d8\ud50c \uadf8\ub808\uc774\ub354\ub294 \ub2e4\uc74c \uc591\uc2dd\uc73c\ub85c \ub2f9\uc2e0\uc758 \ub2f5\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>line 1 + $i$ ($0 \\le i \\le Q - 1$): <code>minimum_jumps<\/code> \ud568\uc218\ub97c $i$\ubc88\uc9f8 \ud638\ucd9c\ud588\uc744 \ub54c \ub9ac\ud134\uac12<\/li>\r\n<\/ul>\r\n","custom_attachment":"<ul>\r\n\t<li><a href=\"https:\/\/upload.acmicpc.net\/35436bcd-4687-4fc1-a5b5-8e96a4f00a5f\/\">jumps.zip<\/a><\/li>\r\n<\/ul>\r\n"},{"problem_id":"21852","problem_lang":"1","title":"Rainforest Jumps","description":"<p>In the tropical rainforest of Sumatra, there are $N$ trees in a row numbered from $0$ to $N - 1$ from left to right. All trees have&nbsp;<strong>distinct heights<\/strong>, with tree $i$ having the height $H[i]$.<\/p>\r\n\r\n<p>Pak Dengklek is training an orangutan to jump from tree to tree. In a single jump, the orangutan can jump from the top of a tree to the top of the closest tree, either to the left or to the right, whose height is higher than the tree she is currently at. Formally, if the orangutan is currently at tree $x$, then she can jump to tree $y$ if and only if either one of these is satisfied:<\/p>\r\n\r\n<ul>\r\n\t<li>$y$ is the largest non-negative integer smaller than $x$ such that $H[y] &gt; H[x]$; or<\/li>\r\n\t<li>$y$ is the smallest non-negative integer larger than $x$ such that $H[y] &gt; H[x]$.<\/li>\r\n<\/ul>\r\n\r\n<p>Pak Dengklek has $Q$ jumping plans, each can be represented as four integers $A$, $B$, $C$, and $D$ ($A \\le B &lt; C \\le D$). For each plan, Pak Dengklek would like to know whether it is possible for the orangutan to start from some tree $s$ ($A \\le s \\le B$) and end at some tree $e$ ($C \\le e \\le D$) using a sequence of jumps. If it is possible, Pak Dengklek would like to know the minimum number of jumps the orangutan needs for that plan.<\/p>\r\n","input":"","output":"","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$2 \\le N \\le 200\\,000$<\/li>\r\n\t<li>$1 \\le Q \\le 100\\,000$<\/li>\r\n\t<li>$1 \\le H[i] \\le N$ (for all $0 \\le i \\le N - 1$)<\/li>\r\n\t<li>$H[i] \\neq H[j]$ (for all $0 \\le i &lt; j \\le N - 1$)<\/li>\r\n\t<li>$0 \\le A \\le B &lt; C \\le D \\le N - 1$<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$H[i] = i + 1$ (for all $0 \\le i \\le N - 1$)<\/p>\r\n","subtask2":"<p>$N \\le 200$, $Q \\le 200$<\/p>\r\n","subtask3":"<p>$N \\le 2000$, $Q \\le 2000$<\/p>\r\n","subtask4":"<p>$Q \\le 5$<\/p>\r\n","subtask5":"<p>$A = B$, $C = D$<\/p>\r\n","subtask6":"<p>$C = D$<\/p>\r\n","subtask7":"<p>No additional constraints.<\/p>\r\n","custom_implementation":"<p>You should implement the following procedures:<\/p>\r\n\r\n<pre>\r\n<code>void init(int N, int[] H)\r\n<\/code><\/pre>\r\n\r\n<ul>\r\n\t<li>$N$: the number of trees.<\/li>\r\n\t<li>$H$: an array of length $N$, where $H[i]$ is the height of tree $i$.<\/li>\r\n\t<li>This procedure is called exactly once, before any calls to&nbsp;<code>minimum_jumps<\/code>.<\/li>\r\n<\/ul>\r\n\r\n<pre>\r\n<code>int minimum_jumps(int A, int B, int C, int D)\r\n<\/code><\/pre>\r\n\r\n<ul>\r\n\t<li>$A$, $B$: the range of trees that the orangutan must start at.<\/li>\r\n\t<li>$C$, $D$: the range of trees that the orangutan must end at.<\/li>\r\n\t<li>This procedure should return the minimum number of jumps to carry out the plan, or $-1$ if it is impossible to do so.<\/li>\r\n\t<li>This procedure is called exactly $Q$ times.<\/li>\r\n<\/ul>\r\n","custom_sample":"<p>Consider the following call:<\/p>\r\n\r\n<pre>\r\n<code>init(7, [3, 2, 1, 6, 4, 5, 7])\r\n<\/code><\/pre>\r\n\r\n<p>After initialization has been done, consider the following call:<\/p>\r\n\r\n<pre>\r\n<code>minimum_jumps(4, 4, 6, 6)\r\n<\/code><\/pre>\r\n\r\n<p>This means the orangutan must start at tree $4$ (with height $4$) and end at tree $6$ (with height $7$). One way to achieve the minimum number of jumps is to first jump to tree $3$ (with height $6$), then jump to tree $6$. Another way is to jump to tree $5$ (with height $5$), then jump to tree $6$. Therefore, the procedure&nbsp;<code>minimum_jumps<\/code>&nbsp;should return $2$.<\/p>\r\n\r\n<p>Consider another possible call:<\/p>\r\n\r\n<pre>\r\n<code>minimum_jumps(1, 3, 5, 6)\r\n<\/code><\/pre>\r\n\r\n<p>This means the orangutan must start at either tree $1$ (with height $2$), tree $2$ (with height $1$), or tree $3$ (with height $6$) and end at either tree $5$ (with height $5$) or tree $6$ (with height $7$). The only way to achieve the minimum number of jumps is to start at tree $3$, then jump to tree $6$ using only one jump. Therefore, the procedure&nbsp;<code>minimum_jumps<\/code>&nbsp;should return $1$.<\/p>\r\n\r\n<p>Consider another possible call:<\/p>\r\n\r\n<pre>\r\n<code>minimum_jumps(0, 1, 2, 2)\r\n<\/code><\/pre>\r\n\r\n<p>This means the orangutan must start at either tree $0$ (with height $3$) or tree $1$ (with height $2$) and end at tree $2$ (with height $1$). Since tree $2$ is the shortest tree, it is impossible to be reached from any tree taller than it. Therefore, the procedure&nbsp;<code>minimum_jumps<\/code>&nbsp;should return $-1$.<\/p>\r\n","custom_grader":"<p>The sample grader reads the input in the following format:<\/p>\r\n\r\n<ul>\r\n\t<li>line $1$: $N \\; Q$<\/li>\r\n\t<li>line $2$: $H[0] \\; H[1] \\; \\ldots \\; H[N - 1]$<\/li>\r\n\t<li>line $3 + i$ ($0 \\le i \\le Q - 1$): $A \\; B \\; C \\; D$ for the $i$-th call to&nbsp;<code>minimum_jumps<\/code><\/li>\r\n<\/ul>\r\n\r\n<p>The sample grader prints your answers in the following format:<\/p>\r\n\r\n<ul>\r\n\t<li>line $1 + i$ ($0 \\le i \\le Q - 1$): return value of the $i$-th call to&nbsp;<code>minimum_jumps<\/code><\/li>\r\n<\/ul>\r\n","custom_attachment":"<ul>\r\n\t<li><a href=\"https:\/\/upload.acmicpc.net\/35436bcd-4687-4fc1-a5b5-8e96a4f00a5f\/\">jumps.zip<\/a><\/li>\r\n<\/ul>\r\n"}]

샘플 그레이더

샘플 그레이더는 다음 양식으로 입력을 읽는다.

  • line 1: $N$ $Q$
  • line 2: $H[0]$ $H[1]$ $\cdots$ $H[N - 1]$
  • line 3 + $i$ ($0 \le i \le Q - 1$): minimum_jumps 함수를 $i$번째 호출했을 때 입력 $A$ $B$ $C$ $D$

샘플 그레이더는 다음 양식으로 당신의 답을 출력한다.

  • line 1 + $i$ ($0 \le i \le Q - 1$): minimum_jumps 함수를 $i$번째 호출했을 때 리턴값

첨부

제출할 수 있는 언어

C++17, C++14, C++20, C++14 (Clang), C++17 (Clang), C++20 (Clang)

채점 및 기타 정보

  • 예제는 채점하지 않는다.