QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#34604 | #4234. Tic Tac Toe Counting | YaoBIG# | AC ✓ | 33ms | 5700kb | C++ | 2.2kb | 2022-06-11 20:54:26 | 2022-06-11 20:54:27 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int S = 1 << (2 * 9);
pair<int, int> res[S];
int enc(const string& str) {
int s = 0;
for (int i = 0; i < str.size(); ++i) {
if (str[i] == 'X') s |= 1 << (2 * i);
if (str[i] == 'O') s |= 2 << (2 * i);
if (str[i] == '.') s |= 3 << (2 * i);
}
return s;
}
string dec(int s) {
string res(9, 'f');
for (int i = 0; i < 9; ++i) {
int t = (s >> (2 * i)) % 4;
if (t == 1) res[i] = 'X';
else if (t == 2) res[i] = 'O';
else if (t == 3) res[i] = '.';
}
return res;
}
void recDP(int s) {
if (res[s].first != -1) return;
string str = dec(s);
res[s].second = 0;
res[s].first = 0;
int win = 0;
for (int y = 0; y < 3; ++y) {
int xs = 0, os = 0;
for (int x = 0; x < 3; ++x) {
if (str[3*y + x] == 'X') ++xs;
else if (str[3*y + x] == 'O') ++os;
}
if (xs == 3) win = 1;
else if (os == 3) win = -1;
}
for (int x = 0; x < 3; ++x) {
int xs = 0, os = 0;
for (int y = 0; y < 3; ++y) {
if (str[3*y + x] == 'X') ++xs;
else if (str[3*y + x] == 'O') ++os;
}
if (xs == 3) win = 1;
else if (os == 3) win = -1;
}
for (int d = 0; d < 2; ++d) {
int xs = 0, os = 0;
for (int x = 0; x < 3; ++x) {
int y = (d == 0 ? x : 2 - x);
if (str[3*y + x] == 'X') ++xs;
else if (str[3*y + x] == 'O') ++os;
}
if (xs == 3) win = 1;
else if (os == 3) win = -1;
}
if (win != 0) {
if (win == 1) res[s].first = 1;
else res[s].second = 1;
return;
}
int t = 0;
for (auto c : str) t ^= (c != '.');
for (int y = 0; y < 3; ++y) {
for (int x = 0; x < 3; ++x) {
int ind = 3*y + x;
if (str[ind] != '.') continue;
str[ind] = "XO"[t];
int t_ind = enc(str);
str[ind] = '.';
recDP(t_ind);
res[s].first += res[t_ind].first;
res[s].second += res[t_ind].second;
}
}
}
void solve() {
string str;
cin >> str;
int s = enc(str);
cout << res[s].first << ' ' << res[s].second << '\n';
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
for (int s = 0; s < S; ++s) res[s] = {-1, -1};
recDP(S - 1);
int t;
cin >> t;
for (int ti = 0; ti < t; ++ti) solve();
}
详细
Test #1:
score: 100
Accepted
time: 5ms
memory: 5588kb
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: 14ms
memory: 5544kb
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: 16ms
memory: 5604kb
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: 16ms
memory: 5700kb
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: 22ms
memory: 5680kb
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: 33ms
memory: 5576kb
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: 32ms
memory: 5596kb
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: 20ms
memory: 5684kb
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: 28ms
memory: 5600kb
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: 32ms
memory: 5680kb
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: 32ms
memory: 5644kb
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: 32ms
memory: 5544kb
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: 5644kb
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: 12ms
memory: 5680kb
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: 23ms
memory: 5596kb
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