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 |
---|---|---|---|---|---|---|---|---|---|
#64946 | #4234. Tic Tac Toe Counting | Sa3tElSefr# | AC ✓ | 290ms | 5260kb | C++20 | 3.3kb | 2022-11-25 22:56:59 | 2022-11-25 22:57:00 |
Judging History
answer
#pragma GCC optimize("O3")
#pragma GCC optimize ("unroll-loops")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
const int N = 5005 + 9, mod = 998244353;
const ll OO = 1e9;
int row(vector<int> grid) {
for(int i = 0;i < 9;i += 3) {
int same = grid[i];
for(int j = i;j < i + 3;j++) {
if(grid[j] != same) {
same = -1;
break;
}
}
if(same != -1)
return same;
}
return -1;
}
int col(vector<int> grid) {
for(int i = 0;i < 3;i++) {
int same = grid[i];
for(int j = i;j < 9;j += 3) {
if(grid[j] != same) {
same = -1;
break;
}
}
if(same != -1)
return same;
}
return -1;
}
int D1(vector<int> grid) {
int same = grid[0];
for(int i : {4, 8}) {
if(same != grid[i])
return -1;
}
return same;
}
int D2(vector<int> grid) {
int same = grid[2];
for(int i : {4, 6}) {
if(same != grid[i])
return -1;
}
return same;
}
int win(vector<int> grid) {
int stateRow = row(grid);
if(stateRow != -1)
return stateRow;
int stateCol = col(grid);
if(stateCol != -1)
return stateCol;
int stateD1 = D1(grid);
if(stateD1 != -1)
return stateD1;
int stateD2 = D2(grid);
return stateD2;
}
bool full(vector<int> grid) {
for(auto i : grid) {
if(i == -1)
return false;
}
return true;
}
vector<int> input;
set<vector<int>> found;
map<pair<vector<int>, int>, int> dp;
void gen(vector<int> grid, int turn) {
// for(auto i : grid)
// cout << i << " ";
// cout << endl << endl;
found.insert(grid);
if(win(grid) != -1)
return;
if(full(grid))
return;
for(int i = 0;i < 9;i++) {
if(grid[i] == -1) {
grid[i] = turn;
gen(grid, turn ^ 1);
grid[i] = -1;
}
}
}
int solve(vector<int> grid, int turn, int cur) {
int state = win(grid);
if(state != -1)
return state == cur;
if(full(grid))
return 0;
if(dp.count({grid, cur}))
return dp[{grid, cur}];
int cnt = 0;
for(int i = 0;i < 9;i++) {
if(grid[i] == -1) {
grid[i] = turn;
cnt += solve(grid, turn ^ 1, cur);
grid[i] = -1;
}
}
return dp[{grid, cur}] = cnt;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
vector<int> tmp(9, -1);
gen(tmp, 1);
int t;
cin >> t;
while(t--) {
string s;
cin >> s;
input.clear();
int x = 0, o = 0;
for(auto i : s) {
if(i == '.')
input.push_back(-1);
else if(i == 'X')
x++, input.push_back(1);
else
o++, input.push_back(0);
}
if(!found.count(input)) {
cout << "-1 -1\n";
continue;
}
cout << solve(input, o == x, 1) << " " << solve(input, o == x, 0) << '\n';
}
return 0;
}
/*
4
XX..O....
X...OX...
OOOX.X.X.
OOOXXX...
*/
详细
Test #1:
score: 100
Accepted
time: 140ms
memory: 4124kb
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: 290ms
memory: 5132kb
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: 212ms
memory: 5216kb
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: 190ms
memory: 5036kb
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: 192ms
memory: 5160kb
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: 221ms
memory: 5172kb
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: 212ms
memory: 5216kb
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: 230ms
memory: 5204kb
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: 228ms
memory: 5040kb
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: 226ms
memory: 5068kb
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: 225ms
memory: 5104kb
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: 226ms
memory: 5200kb
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: 221ms
memory: 5260kb
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: 230ms
memory: 5176kb
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: 229ms
memory: 5100kb
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