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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
#370062#4234. Tic Tac Toe CountingInfinityNS#AC ✓227ms5028kbC++203.7kb2024-03-28 21:30:552024-03-28 21:31:03

Judging History

This is the latest submission verdict.

  • [2024-03-28 21:31:03]
  • Judged
  • Verdict: AC
  • Time: 227ms
  • Memory: 5028kb
  • [2024-03-28 21:30:55]
  • Submitted

answer

#include<bits/stdc++.h>
#define ff first
#define ss second
#define pb push_back
typedef long long ll;
using namespace std;
typedef pair<int,int> pii;

const int mod=998244353;
inline int add(int x,int y){int ret=x+y;if(ret>=mod)ret-=mod;return ret;}
inline int sub(int x,int y){int ret=x-y;if(ret<0)ret+=mod;return ret;}
inline int mul(int x,int y){return ((ll)x*y)%mod;}
inline int step(int base,int pw){int ret=1;while(pw){if(pw&1)ret=mul(ret,base);base=mul(base,base);pw>>=1;}return ret;}
inline int invv(int x){return step(x,mod-2);}


const int maxn=3e5+10;

struct state{
    int a[3][3];

    state(){memset(a,0,sizeof(a));}
    state(string s){

        for(int i=0;i<s.size();i++){
            int val=0;
            if(s[i]=='X')val=1;
            else if(s[i]=='O')val=2;

            a[i/3][i%3]=val;
        }

    }

    bool iswinner(int x){

        for(int i=0;i<3;i++){
            int e=1;
            for(int j=0;j<3;j++)
                if(a[i][j]!=x)e=0;
            if(e)return 1;
        }
        for(int i=0;i<3;i++){
            int e=1;
            for(int j=0;j<3;j++)
                if(a[j][i]!=x)e=0;
            if(e)return 1;
        }

        int e=1;
        for(int i=0;i<3;i++)if(a[i][i]!=x)e=0;
        if(e)return 1;

        if(a[2][0]!=x || a[1][1]!=x || a[0][2]!=x)return false;
        else return true;
    }

    int get_winner(){
        if(iswinner(1))return 1;
        if(iswinner(2))return 2;
        return 0;
    }

    string get_string() const{
        string s;
        for(int i=0;i<3;i++){
            for(int j=0;j<3;j++)s.pb(a[i][j]+'0');
        }
        return s;
    }

    bool operator <(const state &b)const {
        return get_string()<b.get_string();
    }

    int get_current(){
        int rez=0;
        for(int i=0;i<3;i++)
        for(int j=0;j<3;j++){
            if(a[i][j]==1)rez++;
            if(a[i][j]==2)rez--;
        }
        if(rez==1)return 2;
        else return 1;
    }

}ststate;

typedef pair<ll,ll> pll;
map<state,bool>pos;
map<state,pll>dp;

void prek(){

    pos[ststate]=1;

    queue<state>q;
    q.push(ststate);

    while(q.size()){

        state x=q.front();
        q.pop();

        if(x.get_winner()!=0)continue;

        int currpl=x.get_current();

        for(int i=0;i<3;i++){
            for(int j=0;j<3;j++){

                if(x.a[i][j]==0){
                    state pom=x;
                    pom.a[i][j]=currpl;
                    if(pos.find(pom)==pos.end()){
                        pos[pom]=1;
                        q.push(pom);
                    }
                }

            }
        }

    }

}

pll operator +(pll a,pll b){
    return {a.ff+b.ff,a.ss+b.ss};
}

pll go(state x){

    if(dp.find(x)!=dp.end())return dp[x];
    pll &a=dp[x];
    a={0,0};

    int winner=x.get_winner();
    if(winner!=0){
        if(winner==1)a.ff=1;
        else a.ss=1;
    }
    else{

        int currpl=x.get_current();
        for(int i=0;i<3;i++){
            for(int j=0;j<3;j++){

                if(x.a[i][j]==0){
                    state pom=x;
                    pom.a[i][j]=currpl;
                    a=a+go(pom);
                }

            }
        }

    }

    return a;
}

int main(){

    ///freopen("test.txt","r",stdin);

    prek();

    int t;
    scanf("%d",&t);
    while(t--){

        string s;
        cin>>s;

        state st(s);

        if(pos.find(st)==pos.end()){
            printf("-1 -1\n");
            continue;
        }

        pll rez=go(st);

        printf("%lld %lld\n",rez.ff,rez.ss);

    }

    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 15ms
memory: 4536kb

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: 227ms
memory: 4728kb

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: 188ms
memory: 5028kb

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: 168ms
memory: 4784kb

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: 163ms
memory: 4744kb

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: 210ms
memory: 4976kb

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: 185ms
memory: 4736kb

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: 172ms
memory: 4716kb

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: 197ms
memory: 4648kb

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: 191ms
memory: 4788kb

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: 167ms
memory: 5028kb

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: 221ms
memory: 4732kb

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: 212ms
memory: 4692kb

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: 187ms
memory: 5020kb

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: 185ms
memory: 4776kb

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