시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB105217322632471.176%

문제

서강대학교 곤자가 기숙사의 지하에는 n개의 방이 일렬로 늘어선 감옥이 있다. 각 방에는 벌점을 많이 받은 학생이 구금되어있다.

그러던 어느 날, 감옥 간수인 상범이는 지루한 나머지 정신나간 게임을 하기로 결정했다. 게임의 첫 번째 라운드에서 상범이는 위스키를 한 잔 들이키고, 달려가며 감옥을 한 개씩 모두 연다. 그 다음 라운드에서는 2, 4, 6, ... 번 방을 다시 잠그고, 세 번째 라운드에서는 3, 6, 9, ... 번 방이 열려있으면 잠그고, 잠겨있다면 연다. k번째 라운드에서는 번호가 k의 배수인 방이 열려 있으면 잠그고, 잠겨 있다면 연다. 이렇게 n번째 라운드까지 진행한 이후, 상범이는 위스키의 마지막 병을 마시고 쓰러져 잠든다.

구금되어있는 몇 명(어쩌면 0명)의 학생들은 자신의 방을 잠그지 않은 채 상범이가 쓰러져버렸단 것을 깨닫고 즉시 도망친다.

방의 개수가 주어졌을 때, 몇 명의 학생들이 도주할 수 있는지 알아보자.

입력

입력의 첫 번째 줄에는 테스트 케이스의 개수 T가 주어진다. 각 테스트 케이스는 한 줄에 한 개씩 방의 개수 n(5 ≤ n ≤ 100)이 주어진다.

출력

한 줄에 한 개씩 각 테스트 케이스의 답, 즉 몇 명이 탈출할 수 있는지를 출력한다.

예제 입력 1

2
5
100

예제 출력 1

2
10
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aW5jYXBhY2l0YXRlZC4gVGhleSBpbW1lZGlhdGVseSBlc2NhcGUuPFwvcD5cclxuXHJcbjxwPkdpdmVuIHRoZSBudW1iZXIgb2YgY2VsbHMsIGRldGVybWluZSBob3cgbWFueSBwcmlzb25lcnMgZXNjYXBlIGphaWwuPFwvcD5cclxuIiwiaW5wdXQiOiI8cD5UaGUgZmlyc3QgbGluZSBvZiBpbnB1dCBjb250YWlucyBhIHNpbmdsZSBwb3NpdGl2ZSBpbnRlZ2VyLiBUaGlzIGlzIHRoZSBudW1iZXIgb2YgbGluZXMgdGhhdCBmb2xsb3cuIEVhY2ggb2YgdGhlIGZvbGxvd2luZyBsaW5lcyBjb250YWlucyBhIHNpbmdsZSBpbnRlZ2VyIGJldHdlZW4gNSBhbmQgMTAwLCBpbmNsdXNpdmUsIHdoaWNoIGlzIHRoZSBudW1iZXIgb2YgY2VsbHMgbi48XC9wPlxyXG4iLCJvdXRwdXQiOiI8cD5Gb3IgZWFjaCBsaW5lLCB5b3UgbXVzdCBwcmludCBvdXQgdGhlIG51bWJlciBvZiBwcmlzb25lcnMgdGhhdCBlc2NhcGUgd2hlbiB0aGUgcHJpc29uIGhhcyBuIGNlbGxzLjxcL3A+XHJcbiIsImhpbnQiOiIiLCJvcmlnaW5hbCI6IjEiLCJodG1sX3RpdGxlIjoiMCIsInByb2JsZW1fbGFuZ190Y29kZSI6IkVuZ2xpc2gifV0=

출처

ICPC > Regionals > North America > Greater New York Region > 2002 Greater New York Programming Contest B번