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 |
---|---|---|---|---|---|---|---|---|---|
#414956 | #4234. Tic Tac Toe Counting | ivan_len# | AC ✓ | 24ms | 4020kb | C++20 | 2.7kb | 2024-05-20 05:32:00 | 2024-05-20 05:32:01 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long LL;
#define PB push_back
#define MP make_pair
#define A first
#define B second
#define SZ(x) int(x.size())
#define FR(i, a, b) for (int i = (a); i < (b); ++i)
#define FOR(i, n) FR(i, 0, n)
const int M = 1000000007;
mt19937_64 rnd(chrono::steady_clock::now().time_since_epoch().count());
int n;
int State(vector<vector<int>>& s) {
int win = 0;
FOR(i, 3) {
if (s[i][0] == s[i][1] && s[i][0] == s[i][2]) {
if (s[i][0] == 1) win |= 1;
if (s[i][0] == 2) win |= 2;
}
if (s[0][i] == s[1][i] && s[0][i] == s[2][i]) {
if (s[0][i] == 1) win |= 1;
if (s[0][i] == 2) win |= 2;
}
}
if (s[0][0] == s[1][1] && s[0][0] == s[2][2]) {
if (s[0][0] == 1) win |= 1;
if (s[0][0] == 2) win |= 2;
}
if (s[2][0] == s[1][1] && s[2][0] == s[0][2]) {
if (s[1][1] == 1) win |= 1;
if (s[1][1] == 2) win |= 2;
}
return win;
}
int to(vector<vector<int>>& state) {
int tot = 0;
FOR(i, 3) {
FOR(j, 3) {
tot *= 3;
tot += state[i][j];
}
}
return tot;
}
unordered_map<int, pair<int, int>> mp;
pair<int, int> dfs(vector<vector<int>>& state, int cnt) {
int T = to(state);
if (mp.count(T)) return mp[T];
int win = 0;
if (cnt >= 5) win = State(state);
if (win == 3) {
return mp[T] = MP(0, 0);
}
if (win == 1) {
return mp[T] = MP(1, 0);
}
if (win == 2) {
return mp[T] = MP(0, 1);
}
if (cnt == 9) return mp[T] = MP(0, 0);
int c = ((cnt & 1)?2:1);
pair<int, int> ans{};
FOR(i, 3) {
FOR(j, 3) {
if (state[i][j] == 0) {
vector<vector<int>> nxt = state;
nxt[i][j] = c;
auto p = dfs(nxt, cnt + 1);
ans.A += p.A;
ans.B += p.B;
}
}
}
return mp[T] = ans;
}
// X for 1, O for 2; . for 0
void solve() {
vector<vector<int>> state(3, vector<int>(3));
string s;
cin >> s;
FOR(i, 3) {
FOR(j, 3) {
if (s[i * 3 + j] == 'X') state[i][j] = 1;
if (s[i * 3 + j] == 'O') state[i][j] = 2;
}
}
int T = to(state);
if (!mp.count(T)) {
cout << "-1 -1\n";
return;
}
auto p = mp[T];
cout << p.A << ' ' << p.B << '\n';
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int numtests;
cin >> numtests;
vector<vector<int>> S(3, vector<int>(3));
dfs(S, 0);
while(numtests--) {
solve();
}
}
详细
Test #1:
score: 100
Accepted
time: 3ms
memory: 3716kb
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: 21ms
memory: 3956kb
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: 22ms
memory: 3884kb
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: 3756kb
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: 17ms
memory: 3788kb
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: 24ms
memory: 3888kb
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: 3836kb
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: 3860kb
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: 3756kb
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: 24ms
memory: 4020kb
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: 24ms
memory: 3828kb
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: 3776kb
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: 24ms
memory: 3820kb
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: 24ms
memory: 3816kb
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: 24ms
memory: 3956kb
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