시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 333 74 52 31.138%

문제

깊은 아마존 정글에 거대한 나무들에서 갈색 원숭이들이 매우 좋아하는 무화과가 열리고, 이 나무에는 향나무노린재들이 서식하고 있다.

나무 꼭대기에 도달하기 위해서 원숭이들은 매우 조심스럽게 나무에 올라가는 길을 찾아야한다. 거대한 나무는 부서지기 쉬운 덩굴들이 있는데 이 덩굴들은 시소의 원리와 비슷하다. 덩굴의 무게가 불균형 하면 그 덩굴은 끊어지며 그 원숭이들은 땅으로 떨어져버린다. 원숭이들은 서로 협력하여 덩굴의 균형을 유지한다면 그들은 모두 무화과가 열리고 향나무노린재들이 서식하는 나무 꼭대기에 도달할 수 있다는 것을 발견했다.

덩굴은 두개의 덩굴로 나눠질 수 있는데 덩굴이 끊어지지 않기 위해서는 나눠진 두 덩굴은 같은 수의 원숭이들이 매달려 있어야한다. 덩굴의 나눠지는 지점을 "[]"로 정의 내리면 덩굴의 구조를 꺾쇠괄호로 표시할 수 있다. 또한 덩굴의 깊이는 25를 넘지 않는다.

원숭이들은 덩굴의 균형을 유지하면서 나무꼭대기에 도달할 수 있는 최소 원숭이 수를 알고 싶다. 나무 꼭대기에 도달하기 위해서 최소 한 마리 원숭이가 필요하다.

입력

첫째 줄에 테스트 케이스의 개수 N(1 ≤ N ≤ 1000)이 주어진다.

각 테스트 케이스는 한 줄로 이루어져 있고, 덩굴의 구조를 꺾쇠괄호로 표현한 문자열이 주어진다. 문자열의 길이는 0보다 크거나 같고, 150보다 작거나 같다.

출력

각 테스트 케이스마다 덩굴의 균형을 유지하면서 나무꼭대기에 도달할 수 있는 최소 원숭이 수를 출력한다.

예제 입력 1

3
[]

[[][[]]]

예제 출력 1

2
1
8

힌트

예제 입력의 2번째 테스트 케이스는 빈 줄 입니다.

[{"problem_id":"2716","problem_lang":"0","title":"\uc6d0\uc22d\uc774 \ub9e4\ub2ec\uae30","description":"<p>\r\n\t\uae4a\uc740 \uc544\ub9c8\uc874 \uc815\uae00\uc5d0 \uac70\ub300\ud55c \ub098\ubb34\ub4e4\uc5d0\uc11c \uac08\uc0c9 \uc6d0\uc22d\uc774\ub4e4\uc774 \ub9e4\uc6b0 \uc88b\uc544\ud558\ub294 \ubb34\ud654\uacfc\uac00 \uc5f4\ub9ac\uace0, \uc774 \ub098\ubb34\uc5d0\ub294 \ud5a5\ub098\ubb34\ub178\ub9b0\uc7ac\ub4e4\uc774 \uc11c\uc2dd\ud558\uace0 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ub098\ubb34 \uaf2d\ub300\uae30\uc5d0 \ub3c4\ub2ec\ud558\uae30 \uc704\ud574\uc11c \uc6d0\uc22d\uc774\ub4e4\uc740 \ub9e4\uc6b0 \uc870\uc2ec\uc2a4\ub7fd\uac8c \ub098\ubb34\uc5d0 \uc62c\ub77c\uac00\ub294 \uae38\uc744 \ucc3e\uc544\uc57c\ud55c\ub2e4. \uac70\ub300\ud55c \ub098\ubb34\ub294 \ubd80\uc11c\uc9c0\uae30 \uc26c\uc6b4 \ub369\uad74\ub4e4\uc774 \uc788\ub294\ub370 \uc774 \ub369\uad74\ub4e4\uc740 \uc2dc\uc18c\uc758 \uc6d0\ub9ac\uc640 \ube44\uc2b7\ud558\ub2e4. \ub369\uad74\uc758 \ubb34\uac8c\uac00 \ubd88\uade0\ud615 \ud558\uba74 \uadf8 \ub369\uad74\uc740 \ub04a\uc5b4\uc9c0\uba70 \uadf8 \uc6d0\uc22d\uc774\ub4e4\uc740 \ub545\uc73c\ub85c \ub5a8\uc5b4\uc838\ubc84\ub9b0\ub2e4. \uc6d0\uc22d\uc774\ub4e4\uc740 \uc11c\ub85c \ud611\ub825\ud558\uc5ec \ub369\uad74\uc758 \uade0\ud615\uc744 \uc720\uc9c0\ud55c\ub2e4\uba74 \uadf8\ub4e4\uc740 \ubaa8\ub450 \ubb34\ud654\uacfc\uac00 \uc5f4\ub9ac\uace0 \ud5a5\ub098\ubb34\ub178\ub9b0\uc7ac\ub4e4\uc774 \uc11c\uc2dd\ud558\ub294 \ub098\ubb34 \uaf2d\ub300\uae30\uc5d0 \ub3c4\ub2ec\ud560 \uc218 \uc788\ub2e4\ub294 \uac83\uc744 \ubc1c\uacac\ud588\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ub369\uad74\uc740 \ub450\uac1c\uc758 \ub369\uad74\ub85c \ub098\ub220\uc9c8 \uc218 \uc788\ub294\ub370 \ub369\uad74\uc774 \ub04a\uc5b4\uc9c0\uc9c0 \uc54a\uae30 \uc704\ud574\uc11c\ub294 \ub098\ub220\uc9c4 \ub450 \ub369\uad74\uc740 \uac19\uc740 \uc218\uc758 \uc6d0\uc22d\uc774\ub4e4\uc774 \ub9e4\ub2ec\ub824 \uc788\uc5b4\uc57c\ud55c\ub2e4. \ub369\uad74\uc758 \ub098\ub220\uc9c0\ub294 \uc9c0\uc810\uc744 &quot;[]&quot;\ub85c \uc815\uc758 \ub0b4\ub9ac\uba74 \ub369\uad74\uc758 \uad6c\uc870\ub97c \uaebe\uc1e0\uad04\ud638\ub85c \ud45c\uc2dc\ud560 \uc218 \uc788\ub2e4. \ub610\ud55c \ub369\uad74\uc758 \uae4a\uc774\ub294 25\ub97c \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/monkey.png\" style=\"width: 520px; height: 294px;\" \/><\/p>\r\n\r\n<p>\r\n\t\uc6d0\uc22d\uc774\ub4e4\uc740 \ub369\uad74\uc758 \uade0\ud615\uc744 \uc720\uc9c0\ud558\uba74\uc11c \ub098\ubb34\uaf2d\ub300\uae30\uc5d0 \ub3c4\ub2ec\ud560 \uc218 \uc788\ub294 \ucd5c\uc18c \uc6d0\uc22d\uc774 \uc218\ub97c \uc54c\uace0 \uc2f6\ub2e4. \ub098\ubb34 \uaf2d\ub300\uae30\uc5d0 \ub3c4\ub2ec\ud558\uae30 \uc704\ud574\uc11c \ucd5c\uc18c \ud55c \ub9c8\ub9ac \uc6d0\uc22d\uc774\uac00 \ud544\uc694\ud558\ub2e4.<\/p>\r\n","input":"<p>\r\n\t\uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 N(1 &le; N &le; 1000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud55c \uc904\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, \ub369\uad74\uc758 \uad6c\uc870\ub97c \uaebe\uc1e0\uad04\ud638\ub85c \ud45c\ud604\ud55c \ubb38\uc790\uc5f4\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ubb38\uc790\uc5f4\uc758 \uae38\uc774\ub294 0\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uace0, 150\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\ub2e4.<\/p>\r\n","output":"<p>\r\n\t\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 \ub369\uad74\uc758 \uade0\ud615\uc744 \uc720\uc9c0\ud558\uba74\uc11c \ub098\ubb34\uaf2d\ub300\uae30\uc5d0 \ub3c4\ub2ec\ud560 \uc218 \uc788\ub294 \ucd5c\uc18c \uc6d0\uc22d\uc774 \uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\r\n\t\uc608\uc81c \uc785\ub825\uc758 2\ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ube48 \uc904 \uc785\ub2c8\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2716","problem_lang":"1","title":"Monkey Vines","description":"<p>Deep in the Amazon jungle, exceptionally tall trees grow that support a rich biosphere of figs and juniper bugs, which happen to be the culinary delight of brown monkeys.&nbsp;<\/p>\r\n\r\n<p>Reaching the canopy of these trees requires the monkeys to perform careful navigation through the tall tree&rsquo;s fragile vine system. These vines operate like a see-saw: an unbalancing of weight at any vine junction would snap the vine from the tree, and the monkeys would plummet to the ground below. The monkeys have figured out that if they work together to keep the vines properly balanced, they can all feast on the figs and juniper bugs in the canopy of the trees.&nbsp;<\/p>\r\n\r\n<p>A vine junction supports exactly two sub-vines, each of which must contain the same number of monkeys, or else the vine will break, leaving a pile of dead monkeys on the jungle ground. For purposes of this problem, a vine junction is denoted by a pair of matching square brackets [ ], which may contain nested information about junctions further down its sub-vines. The nesting of vines will go no further than 25 levels deep.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/monkey.png\" style=\"height:294px; width:520px\" \/><\/p>\r\n\r\n<p>You will write a program that calculates the minimum number of monkeys required to balance a particular vine configuration. There is always at least one monkey needed, and, multiple monkeys may hang from the same vine.<\/p>\r\n","input":"<p>The first line of input contains a single integer N, (1 &le; N &le; 1000) which is the number of datasets that follow.&nbsp;<\/p>\r\n\r\n<p>Each dataset consists of a single line of input containing a vine configuration consisting of a string of [ and ] characters as described above. The length of the string of [ and ] will be greater than or equal to zero, and less than or equal to 150.&nbsp;<\/p>\r\n","output":"<p>For each dataset, you should generate one line of output with the following values: The dataset number as a decimal integer (start counting at one), a space, and the minimum number of monkeys required to reach the canopy successfully. Assume that all the hanging vines are reachable from the jungle floor, and that all monkeys jump on the vines at the same time.&nbsp;<\/p>\r\n","hint":"<p>Note: The second line of sample input is a blank line.<\/p>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]