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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#106258 | #4234. Tic Tac Toe Counting | zaxwellmen# | WA | 23ms | 3528kb | C++20 | 2.0kb | 2023-05-17 03:49:39 | 2023-05-17 03:49:43 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef pair<int, int> pi;
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) FOR(i, 0, a)
#define mp make_pair
#define F first
#define S second
int n;
const int m = 19683;
string s;
pi dp[m];
bool win(vector<int> a, int turn) {
bool row[3] = {true, true, true}, col[3] = {true, true, true}, d1 = true, d2 = true;
F0R(i, 3) F0R(j, 3) if (a[3*i+j] != turn) {
row[i] = false; col[j] = false;
if (i==j) d1 = false;
if (i==2-j) d2 = false;
}
return row[0] || row[1] || row[2] || col[0] || col[1] || col[2] || d1 || d2;
}
bool full(vector<int> a) {
F0R(i, 9) if (a[i]==2) return false;
return true;
}
vector<int> to_vec(int x) {
vector<int> a(9);
F0R(i, 9) {
a[i] = x % 3;
x /= 3;
}
return a;
}
int from_vec(vector<int> a) {
int pow = 1, x = 0;
F0R(i, 9) {
x += pow * a[i];
pow *= 3;
}
return x;
}
void dfs(int x, int turn) {
if (dp[x] != mp(-1, -1)) return;
dp[x] = mp(0,0);
vector<int> a = to_vec(x);
if (win(a,0)) {
dp[x] = mp(1,0);
return;
}
if (win(a,1)) {
dp[x] = mp(0,1);
return;
}
if (full(a)) {
return;
}
F0R(i, 9) {
if (a[i] == 2) {
a[i] = turn;
int nx = from_vec(a);
dfs(nx, 1-turn);
dp[x].F += dp[nx].F;
dp[x].S += dp[nx].S;
a[i] = 2;
}
}
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
F0R(i, m) dp[i] = mp(-1, -1);
dfs(m-1, 0);
cin >> n;
F0R(test, n) {
cin >> s;
int x = 0, pow = 1;
F0R(i, 9) {
int a = 2;
if (s[i]=='X') a = 0;
if (s[i]=='O') a = 1;
x += a*pow;
pow *= 3;
}
if (dp[x] == mp(0,0)) cout << "-1 -1\n";
else cout << dp[x].F << ' ' << dp[x].S << '\n';
}
}
Details
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Test #1:
score: 100
Accepted
time: 3ms
memory: 3516kb
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: 17ms
memory: 3504kb
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: -100
Wrong Answer
time: 23ms
memory: 3528kb
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:
wrong answer 1211th lines differ - expected: '0 0', found: '-1 -1'