시간 제한 | 메모리 제한 | 제출 | 정답 | 맞힌 사람 | 정답 비율 |
---|---|---|---|---|---|
1 초 (하단 참고) | 1024 MB | 126 | 14 | 11 | 11.828% |
교준이는 $N$개의 주사위 전개도가 인쇄된 큰 종이를 가지고 있다. 각 주사위의 한 변의 길이는 $5$이며, $3 \times 3$ 크기의 각 면에는 'x
'의 눈이 그려져 있다.
정육면체의 전개도는 총 $11$종류가 있다. 이 중에서 다음과 같은 주사위 전개도를 예시로 생각하자.
+---+---+---+........ |x.x|..x|...|........ |x.x|.x.|.x.|........ |x.x|x..|...|........ +---+---+---+---+---+ ........|...|x.x|x.x| ........|x.x|...|.x.| ........|...|x.x|x.x| ........+---+---+---+
교준이가 이 전개도를 오려내어 접어 만든 주사위에서 점의 수가 각각 $1$, $2$, $3$인 세 면은 시계방향을 이루어 배치되어 있을 것이다. 인쇄된 점이 주사위의 바깥 면이 되도록 접어야 함에 유의하라.
교준이는 큰 종이에 인쇄된 전개도를 모두 오려내고 접어 여러 개의 주사위를 만들었다. 이 중 같은 형태의 주사위가 몇 개인지 알아내는 프로그램을 작성하라.
주사위의 마주보는 두 면의 점 수의 합이 $7$임이 보장되지 않으며, 심지어는 여섯 면의 모양이 모두 같은 주사위가 주어질 수 있다.
면에 그려진 점의 수가 같더라도 주사위 자체를 돌려서 점 모양이 완전하게 같아지지 않는다면 다른 주사위이다. 즉, 주사위 자체를 회전시켜서 온전하게 같아져야만 같은 주사위이다.
첫 번째 줄에 두 정수 $H$, $W$가 주어진다. 이후, $H$개의 줄에 걸쳐, 큰 종이에 그려진 전개도들이 주어진다. 각 줄에 길이 $W$의 문자열이 주어지며, 이 문자열은 '.
', 'x
', '-
', '|
', '+
'의 문자들로만 이루어져 있다.
첫 번째 줄에, 각 형태에 대하여 그 형태를 가지는 주사위의 개수를 내림차순으로 출력한다.
+
'이다.-
', '|
'이다.x
'이며, 이 문자는 주사위의 면 내부에만 존재한다.25 24 ........................ .+---+---+---+.......... .|x.x|..x|...|.......... .|x.x|.x.|.x.|.......... .|x.x|x..|...|.......... .+---+---+---+---+---+.. .........|...|x.x|x.x|.. .........|x.x|...|.x.|.. .........|...|x.x|x.x|.. .........+---+---+---+.. ........................ .....+---+.............. .....|x.x|.............. .....|.x.|.............. .....|x.x|.............. .+---+---+---+---+...... .|..x|...|x.x|x.x|...... .|.x.|.x.|...|x.x|...... .|x..|...|x.x|x.x|...... .+---+---+---+---+...... .....|...|.............. .....|x.x|.............. .....|...|.............. .....+---+.............. ........................
2
두 주사위의 형태는 서로 같다.
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1 1
점의 수가 같아도 점의 모양이 다르면, 다른 주사위이다.
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2
전개도가 붙어있을 수 있다.
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6 2 1
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........|xx.|xx.|.|.xx|............................................................................. ........+---+---+.+---+.............................................................................
106
전개도로 만든 모든 주사위가 같은 형태이다.