QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#781344 | #4234. Tic Tac Toe Counting | ucup-team2172# | AC ✓ | 20ms | 4276kb | C++23 | 2.5kb | 2024-11-25 15:47:32 | 2024-11-25 15:47:32 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
int pw3[15];
inline int calc(int S, int i, int j) { return (S / pw3[i * 3 + j]) % 3; }
inline int check(int S) {
// check row
for (int i = 0; i < 3; ++i) {
int val = calc(S, i, 0);
if (val && calc(S, i, 1) == val && calc(S, i, 2) == val) return val;
}
// check col
for (int i = 0; i < 3; ++i) {
int val = calc(S, 0, i);
if (val && calc(S, 1, i) == val && calc(S, 2, i) == val) return val;
}
int val = calc(S, 0, 0);
if (val && calc(S, 1, 1) == val && calc(S, 2, 2) == val) return val;
val = calc(S, 0, 2);
if (val && calc(S, 1, 1) == val && calc(S, 2, 0) == val) return val;
return 0;
}
int reach[60005];
int f[60005][2];
int a[60005];
inline void solve(){
char buf[20]; scanf("%s", buf);
int S = 0;
for (int i = 0; i < 3; ++i) for (int j = 0; j < 3; ++j) {
if (buf[i * 3 + j] == 'X') S += 1 * pw3[i * 3 + j];
if (buf[i * 3 + j] == 'O') S += 2 * pw3[i * 3 + j];
}
if (!reach[S]) printf("%d %d\n", -1, -1);
else printf("%d %d\n", f[S][0], f[S][1]);
return;
}
int main(){
pw3[0] = 1; for (int i = 1; i <= 9; ++i) pw3[i] = 1ll * pw3[i - 1] * 3;
// 1 for X, 2 for O
for (int S = 0; S < pw3[9]; ++S) {
a[S] = check(S);
}
for (int S = pw3[9] - 1; S >= 0; --S) {
if (a[S]) f[S][a[S] - 1] = 1;
else {
int cnt = 0;
for (int i = 0; i < 3; ++i) for (int j = 0; j < 3; ++j) cnt += (calc(S, i, j) != 0);
for (int i = 0; i < 3; ++i) for (int j = 0; j < 3; ++j)
if (calc(S, i, j) == 0) {
int nS = S;
if (cnt % 2 == 0) nS += 1 * pw3[i * 3 + j]; // go X
else nS += 2 * pw3[i * 3 + j]; // go O;
f[S][0] += f[nS][0], f[S][1] += f[nS][1];
}
}
}
reach[0] = 1;
for (int S = 0; S < pw3[9]; ++S) if (reach[S]){
if (!a[S]) {
int cnt = 0;
for (int i = 0; i < 3; ++i) for (int j = 0; j < 3; ++j) cnt += (calc(S, i, j) != 0);
for (int i = 0; i < 3; ++i) for (int j = 0; j < 3; ++j)
if (calc(S, i, j) == 0) {
int nS = S;
if (cnt % 2 == 0) nS += 1 * pw3[i * 3 + j]; // go X
else nS += 2 * pw3[i * 3 + j]; // go O;
reach[nS] = 1;
}
}
}
int T;
for (scanf("%d", &T); T--; solve());
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 4272kb
input:
4 XX..O.... X...OX... OOOX.X.X. OOOXXX...
output:
191 194 232 200 0 1 -1 -1
result:
ok 4 lines
Test #2:
score: 0
Accepted
time: 10ms
memory: 4232kb
input:
100000 ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......
output:
131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 1...
result:
ok 100000 lines
Test #3:
score: 0
Accepted
time: 20ms
memory: 4132kb
input:
100000 ......... X........ O........ .X....... XX....... OX....... .O....... XO....... OO....... ..X...... X.X...... O.X...... .XX...... XXX...... OXX...... .OX...... XOX...... OOX...... ..O...... X.O...... O.O...... .XO...... XXO...... OXO...... .OO...... XOO...... OOO...... ...X..... X..X..... O.....
output:
131184 77904 14652 7896 -1 -1 14232 10176 -1 -1 1798 1276 -1 -1 2048 756 -1 -1 14652 7896 -1 -1 1832 1132 -1 -1 -1 -1 220 248 2048 756 268 144 -1 -1 -1 -1 1832 1132 -1 -1 1798 1276 220 248 -1 -1 -1 -1 -1 -1 -1 -1 14232 10176 -1 -1 1798 1276 -1 -1 -1 -1 264 188 1868 1080 239 126 -1 -1 -1 -1 -1 -1 312...
result:
ok 100000 lines
Test #4:
score: 0
Accepted
time: 14ms
memory: 4132kb
input:
100000 ......... ......... ......... ......... ......... ......... ........O ........O ........O ........O ........O ........X ........X ........X ........X ........X .......O. .......O. .......O. .......O. .......O. .......OO .......OO .......OO .......OO .......OO .......OX .......OX .......OX ......
output:
131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 131184 77904 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 14652 7896 14652 7896 14652 7896 14652 7896 14652 7896 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 2048 756 2048 756 2048 756 2048 756 2048 756 14232 10176 14232 10176 14232 10...
result:
ok 100000 lines
Test #5:
score: 0
Accepted
time: 14ms
memory: 4240kb
input:
100000 XXXXXXXXX XXXXXXXXX XXXXXXXXX XXXXXXXXX XXXXXXXXX XXXXXXXXO XXXXXXXXO XXXXXXXXO XXXXXXXXO XXXXXXXXO XXXXXXXX. XXXXXXXX. XXXXXXXX. XXXXXXXX. XXXXXXXX. XXXXXXXOX XXXXXXXOX XXXXXXXOX XXXXXXXOX XXXXXXXOX XXXXXXXOO XXXXXXXOO XXXXXXXOO XXXXXXXOO XXXXXXXOO XXXXXXXO. XXXXXXXO. XXXXXXXO. XXXXXXXO. XXX...
output:
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 ...
result:
ok 100000 lines
Test #6:
score: 0
Accepted
time: 15ms
memory: 4276kb
input:
100000 .XXO..X.. O.XXO.OO. .OXX.OOXO OO.XXXXO. ..XO.O.OO OOOXOO.XO .OO.OX... XOX.OOOOO XOXOO..X. XOOX.OOX. O..O..OOO XOXOOOOOO ...XO.XOX .XOX.OO.. XX..O..O. XXXOOO.XO .OOO.OX.X X...OXOOX .X..XXOXX O..XO.X.. O..XX..OX OOXOOX.XX OO.XOX..O X.OXOOO.X XOXOO.XX. OOOXO.OOX OXO.O...O OOOXOXX.. ..XX.O... .XX...
output:
-1 -1 -1 -1 -1 -1 1 0 -1 -1 -1 -1 -1 -1 -1 -1 2 2 -1 -1 -1 -1 -1 -1 4 5 -1 -1 47 20 -1 -1 -1 -1 2 3 -1 -1 22 48 11 2 -1 -1 -1 -1 -1 -1 0 1 -1 -1 -1 -1 -1 -1 348 84 3 1 -1 -1 1 0 -1 -1 -1 -1 -1 -1 -1 -1 40 32 -1 -1 1 0 2 0 2 4 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 52 36 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 12...
result:
ok 100000 lines
Test #7:
score: 0
Accepted
time: 20ms
memory: 4224kb
input:
100000 XOO.....O XXX.X..OO X.OOOXXXX X.O...XXX OXXO.OO.X OXOX.XXXX XOXO..XO. O.OXOXXXX OXXOXXXXO X.O.XXX.O XXX.OXOOO OX...OOXX ..XXO.OOX XOOXO.... .OOOXX.X. OOOXXOOXO XXX..XOX. X..OXXO.. ..XXX.OX. XX.X..XO. ...OOOXOX OO.XO.O.. .O.X.XOXX OOOX.O.XO X.O.OXXOO OOXOX.OX. O.OO.X.OX .XXXX...X .OOXX..OO .XX...
output:
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 3 2 -1 -1 -1 -1 -1 -1 -1 -1 2 1 4 1 -1 -1 2 2 -1 -1 -1 -1 13 4 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 -1 -1 -1 12 2 -1 -1 47 32 -1 -1 3 2 24 44 -1 -1 -1 -1 -1 -1 7 9 -1 -1 -1 -1 1 0 -1 -1 -1 -1 -1 -1 1 0 47 20 -1 -1 4 0 -1 -1 -1 -...
result:
ok 100000 lines
Test #8:
score: 0
Accepted
time: 19ms
memory: 4092kb
input:
100000 O.O.XXXOX .XX.OXO.X O..XXXO.X OXOXXXX.. X.OXO..O. .OOXOXXO. OXOXOO..O OOXOOOOX. .OX..OOO. XOOOXXOXO OOXOX...O .XOXOXO.O .XOXO.O.O OXXXXO.XX XOXXX.XX. OX..XOX.. XX..X.XOO .O..O.O.. OXXXOOXXO OOX..OXOX .OX.OXOOO X.OX.O.XO XXXX..XOX OOXXXX.X. ..OXXXX.. XXXX.XX.O X.XOOXX.. .O..X...O .OOX.O.OX OOX...
output:
0 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 12 2 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 9 5 -1 -1 2 2 -1 -1 -1 -1 8 8 -1 -1 47 20 -1 -1 -1 -1 -1 -1 34 28 -1 -1 -1 -1 -1 -1 8 9 -1 -1 9 5 52 ...
result:
ok 100000 lines
Test #9:
score: 0
Accepted
time: 20ms
memory: 4216kb
input:
100000 .X.XX.... OXOO..XO. .XXX.O.XO OOXOX.OO. OO.OOXOXO .OXOO.XO. O.OOX...X X.OOO.O.. .XO.XOXOX .XX....O. XO.XOOX.. .X.OX.OOX O..XXXOOX X..XX.O.X .OOOO..XO OO...X..O X.OO..XOX .XO.O.O.O .X.OXX.OO XX..O.O.. ..O.O..X. XO.XO.OOX O.XXOO.XX .OOX.OOXX .X.XXXOOO OO.XOXXOX XXX..X..O XX..X.... .OX.XXO.X OOX...
output:
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 0 275 126 -1 -1 3 2 1 0 -1 -1 -1 -1 -1 -1 3 0 -1 -1 2 2 29 36 -1 -1 -1 -1 1 0 -1 -1 -1 -1 0 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 3 1 3 2 -1 -1 268 236 -1 -1 -1 -1 1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 12 6 -1 -1 2 2 348 84 -1 -1 -1 -1 -1 -1 -1 -1 ...
result:
ok 100000 lines
Test #10:
score: 0
Accepted
time: 20ms
memory: 4224kb
input:
100000 .O.OXX.XO XX..O.OXO OOXOOX..X ..OXOO.XX .XOOX.X.X ..O..X... XX.XXOXO. OO.OXO... XOXX.OX.X XOO..O.OX .X..XXOOO X.X.XXO.X OOOXX.O.O XX.OX..O. OOOXO..OX OO.OXO.XX XXOOO..XO XXOOXXXXO X.XXO.O.. XOXOOXX.X X.X.OXXOX OXO.XXXOX ..X..XOXO .O.X.XXX. O...OXOOX .X.XXXXOX O.XOOOXX. X..O.XX.. O..XXOXXO .OO...
output:
2 0 3 2 -1 -1 3 2 -1 -1 1798 1276 -1 -1 -1 -1 -1 -1 -1 -1 0 1 -1 -1 -1 -1 12 2 -1 -1 -1 -1 -1 -1 -1 -1 7 6 -1 -1 -1 -1 -1 -1 8 8 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 52 20 -1 -1 0 1 1438 1652 40 32 -1 -1 -1 -1 -1 -1 -1 -1 2 3 -1 -1 3 0 4 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 ...
result:
ok 100000 lines
Test #11:
score: 0
Accepted
time: 19ms
memory: 4088kb
input:
100000 .XO.XOXX. XO.X.X.OX XX..OO..X .OX.XXOXX .XOX.XX.X XXXOO.O.. .O......O O.OO.XOX. OXXXOX... XXO.OX..X OXXO..XOO XOXXO.XX. XXOXXOOOX OXOXOXXO. .X.OXXO.O X..OX.... .XOXO.OOX OXO....O. XOXXO.X.O XO.OXX..O O.OOOXXOX .OX.OXXOX OX..XO.OX .XOOXXXX. XXO..OO.X XX.OOXO.O ..XOOXX.X XXOX.XXOO OX.X.OOO. .O....
output:
-1 -1 -1 -1 8 9 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 0 0 0 2 3 317 48 -1 -1 -1 -1 1 0 2 0 -1 -1 -1 -1 2 0 -1 -1 3 2 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 304 144 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 2 2 -1 -1 -1 -1 -1 -1 2 2 34 28 -1 -1 -1 -1...
result:
ok 100000 lines
Test #12:
score: 0
Accepted
time: 20ms
memory: 4240kb
input:
100000 OX.....OO O.OXOXXXO O.XO.X.O. OOX.OOXO. XXXO.O.XX OO..XX.XO X...XXX.X .XXOOO..O X.X.OO.XO XXXXO.X.. OX..XO.XX XXOX..OO. .XX..X... O.X..O.X. X.OO.XOXO ..X....O. X.X.OXOO. OOOXXOOX. .O.O.XOXX O.XO...X. XXOOOX... OOXXX.XOO ...O.XX.. .OOOX.X.O .OXX...XX XXXXX.XO. O.X..OX.X XX.XX...O X.X.OXO.X XXO...
output:
-1 -1 0 1 -1 -1 -1 -1 -1 -1 4 1 -1 -1 -1 -1 4 1 -1 -1 -1 -1 2 4 -1 -1 50 28 -1 -1 1902 936 2 2 -1 -1 4 1 40 40 0 2 -1 -1 348 84 -1 -1 -1 -1 -1 -1 12 2 -1 -1 -1 -1 2 0 -1 -1 1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 2 3 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -...
result:
ok 100000 lines
Test #13:
score: 0
Accepted
time: 19ms
memory: 4272kb
input:
100000 X.X.OO.OX XOOXX.OOX X.O..O.XO O.XXOOX.X .XOO...OO .XXXOOXOO XO.OX.X.O X.XXO.... .OXXOOXO. .XOO.XO.. XOXO..XOX OXOOXOOO. OX.OX.X.X XO.O..XXX .XOO.XOOX ...XX.OOX .O.X.OOOO O..X.XXOX O.OX...OO OOOO.OXO. XOXXOXXXO X.XXXO..O X.OXO.O.. OO.XXO..X XXO..XOXX .OOOOOXOO OOXXOOOOO ....OOX.. OOOOO.XO. .OO...
output:
2 3 -1 -1 -1 -1 1 0 -1 -1 1 0 3 0 -1 -1 -1 -1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 14 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 2 2 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 3 0 -1 -1 1 1 3 2 -1 -1 0 1 -1 -1 -1 -1 -1 -1 -1 -1 0 1 40 20 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1...
result:
ok 100000 lines
Test #14:
score: 0
Accepted
time: 20ms
memory: 4088kb
input:
100000 XO.OOO.XX X.OX...X. XXXX..XX. .OOO.OXO. X...OO.XO .OXO..OXX .....OOOO .X..XXO.. .OO...OXO .OXXX.... O.XXXX.X. OO.OOX.O. XOOXOOOXO OX.XXXX.O XXXXOX.XO OX.X.OOX. XXXXOXOOX XOOOO...O XO.X...OO X.OOO.O.. ...X.XXX. X.XX.OOXO X...OXOO. OOXO.O..O .X.XX.OX. XXOOXOXXX ..O...OX. .O.O.XXXX XXOOOXOO. O.X...
output:
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 4 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 3 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 -1 -1 -1 -1 1 0 8 5 -1 -1 -1 -1 -1 -1 -1 -1 3 1 -1 -1 -1 -1 -1 -1 2 1 -1 -1 -1 -1 40 28 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -...
result:
ok 100000 lines
Test #15:
score: 0
Accepted
time: 20ms
memory: 4276kb
input:
100000 .XXXX.XXX OX...XXX. .OO.O.XX. XXX.XX..X OO.O...XO O.X.O.XO. XXOOO..O. XOXXX.X.. .....X.X. OO..X.X.O XOOXX.O.O OXOO.OXX. .OXXX.OOX XO.XX.XO. .O.XOO..X XOOXXO.OX .O.OX..X. OOOOO..OO .X..O.OOO .X.O.O.XX XXXOOXOX. OOOXOXXOX .X.OOXOX. XXXOOXX.. OXO..O.X. XO.O.XO.O XXXOOOOX. O..X.XO.O XXOO...XX XO....
output:
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 2 0 -1 -1 -1 -1 -1 -1 58 20 -1 -1 -1 -1 7 7 -1 -1 -1 -1 2 4 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 287 90 -1 -1 -1 -1 -1 -1 1 0 -1 -1 -1 -1 0 2 3 0 -1 -1 -1 -1 1 0 -1 -1 220 248 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1...
result:
ok 100000 lines