Submission #1109016

# Submission time Handle Problem Language Result Execution time Memory
1109016 2024-11-05T18:54:38 Z Kerim Mosaic (IOI24_mosaic) C++17
59 / 100
781 ms 108632 KB
#include "bits/stdc++.h"
#define ll long long
#define pb push_back
#define pii pair<int, int>
using namespace std;
const int N = 4e5+5;
int cnt[N], arcalyk[4][N], tarhun[N][4];
const int M = 5005;
int dp[M][M];
int wow(int a, int b){
    return (!(a|b)?1:0);
}

vector<ll> mosaic(vector<int> X, vector<int> Y, vector<int> T, vector<int> B, vector<int> L, vector<int> R){
    int n = (int)X.size();
    assert(X.front()==Y.front());
    if (n <= 5000){
        for (int i = 0; i < n; i++)
            dp[1][i+1] = X[i];
        for (int i = 0; i < n; i++)
            dp[i+1][1] = Y[i];
        for (int i = 2; i <= n; i++)
            for (int j = 2; j <= n; j++)
                dp[i][j] = wow(dp[i-1][j], dp[i][j-1]);
        for (int i = 1; i <= n; i++)
            for (int j = 1; j <= n; j++)
                dp[i][j] += dp[i-1][j] + dp[i][j-1] - dp[i-1][j-1];
        vector<ll> ans;
        for(int i = 0; i < (int)L.size(); ++i){
            int x = T[i]+1, y = L[i]+1, yy = R[i]+1, xx = B[i]+1;
            ans.push_back(dp[xx][yy] - dp[x-1][yy] - dp[xx][y-1] + dp[x-1][y-1]);
        }
        return ans;
    }
    bool ok = true;
    for (int i = 0; i < n; i++)
        ok &= X[i] == 0, ok &= Y[i] == 0;
    if (ok){
        vector<ll> ans;
        for(int i = 0; i < (int)L.size(); ++i){
            int x = T[i]+1, y = L[i]+1, yy = R[i]+1, xx = B[i]+1;
            if (x == 1)
                x += 1;
            if (y == 1)
                y += 1;
            ll rec = (xx-x+1)*1LL*(yy-y+1);
            if (rec % 2 == 0)
                ans.push_back(rec/2);
            else{
                if ((xx+yy)%2)
                    ans.push_back(rec/2);
                else
                    ans.push_back(rec/2+1);
            }
        }
        return ans;
    }
    map<pii, int> mp;
    for(int i = 1; i <= n; ++i)
        mp[{1, i}] = X[i-1], mp[{i, 1}] = Y[i-1];
    for(int i = 2; i <= n; ++i)
        for(int j = 2; j <= 3; ++j)
            mp[{i, j}] = wow(mp[{i-1, j}], mp[{i, j-1}]);
    for(int i = 2; i <= 3; ++i)
        for(int j = 2; j <= n; ++j)
            mp[{i, j}] = wow(mp[{i-1, j}], mp[{i, j-1}]);
    // int ii = 3;
    // for(int jj = 3; jj <= n; ++jj)
    //     cnt[ii-jj+n] = mp[{ii, jj}];
    for (auto [key, value]: mp)
        cnt[key.first-key.second+n] = value;
    for (int i = 1; i <= 3; i++)
        for (int j = 1; j <= n; j++)
            arcalyk[i][j] = mp[{i,j}] + arcalyk[i][j-1];
    for (int j = 1; j <= 3; j++)
        for (int i = 1; i <= n; i++)
            tarhun[i][j] = mp[{i,j}] + tarhun[i-1][j];
    // for (int i = 1; i < n+n; i++)
    //     cnt[i] += cnt[i-1];
    vector<ll> ans;
    for(int i = 0; i < (int)L.size(); ++i){
        int x = T[i]+1, y = L[i]+1, yy = R[i]+1, xx = B[i]+1;
        ll res = 0;
        while (x <= 3 and x <= xx)
            res += arcalyk[x][yy]-arcalyk[x][y-1], x += 1;
        if (x <= xx){
            while (y <= 3 and y <= yy)
                res += tarhun[xx][y]-tarhun[x-1][y], y += 1;
        }
        if (x <= xx and y <= yy){
            int a = x-y+n, b = x-yy+n, k = xx-x;
            swap(a, b);
            for (int j = 0; j <= k; j++){
                res += cnt[a++] * 1LL * (j+1);
                if (a <= b)
                    res += cnt[b--] * 1LL * (j+1);
            }
            res += (b-a+1)*1LL*k;
            // for (int i = 0; i <= ; i++){
            //     res += cnt[a] - cnt[b-1];
            //     a += 1;
            //     b += 1;
            // }
        }
        ans.pb(res);
    }
    return ans;
}


// int main(){
//     int n;
//     scanf("%d", &n);
//     vector<int> X, Y;
//     for(int i = 1; i <= n; ++i){
//         int x;
//         scanf("%d", &x);
//         X.pb(x);
//     }
//     for(int i = 1; i <= n; ++i){
//         int x;
//         scanf("%d", &x);
//         Y.pb(x);
//     }
//     int q;
//     scanf("%d", &q);
//     vector<int> T, B, L, R;
//     while(q--){
//         int a, b, c, d;
//         scanf("%d%d%d%d", &a, &b, &c, &d);
//         T.pb(a), B.pb(b), L.pb(c), R.pb(d);
//     }
//     vector<ll> ans = mosaic(X, Y, T, B, L, R);
//     for(ll i : ans)
//         printf("%lld ", i);
//     puts("");
//     return 0;
// }
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 2 ms 4432 KB Output is correct
12 Correct 2 ms 4432 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 2 ms 4432 KB Output is correct
15 Correct 2 ms 2384 KB Output is correct
16 Correct 1 ms 2552 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 751 ms 97628 KB Output is correct
2 Correct 763 ms 97468 KB Output is correct
3 Correct 781 ms 97724 KB Output is correct
4 Correct 778 ms 97724 KB Output is correct
5 Correct 390 ms 54780 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 2 ms 4432 KB Output is correct
12 Correct 2 ms 4432 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 2 ms 4432 KB Output is correct
15 Correct 2 ms 2384 KB Output is correct
16 Correct 1 ms 2552 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 183 ms 108484 KB Output is correct
19 Correct 183 ms 108484 KB Output is correct
20 Correct 184 ms 108632 KB Output is correct
21 Correct 184 ms 108448 KB Output is correct
22 Correct 187 ms 108484 KB Output is correct
23 Correct 89 ms 48828 KB Output is correct
24 Correct 82 ms 49028 KB Output is correct
25 Correct 84 ms 48836 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 49 ms 11888 KB Output is correct
2 Correct 95 ms 12988 KB Output is correct
3 Correct 87 ms 12988 KB Output is correct
4 Correct 87 ms 12988 KB Output is correct
5 Correct 84 ms 12988 KB Output is correct
6 Correct 94 ms 12948 KB Output is correct
7 Correct 81 ms 12988 KB Output is correct
8 Correct 81 ms 12988 KB Output is correct
9 Correct 70 ms 11460 KB Output is correct
10 Correct 67 ms 11452 KB Output is correct
11 Correct 69 ms 11452 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 735 ms 97468 KB Output is correct
2 Correct 749 ms 97684 KB Output is correct
3 Correct 770 ms 97688 KB Output is correct
4 Correct 725 ms 97684 KB Output is correct
5 Correct 749 ms 97672 KB Output is correct
6 Correct 388 ms 54716 KB Output is correct
7 Correct 244 ms 37312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 751 ms 97628 KB Output is correct
2 Correct 763 ms 97468 KB Output is correct
3 Correct 781 ms 97724 KB Output is correct
4 Correct 778 ms 97724 KB Output is correct
5 Correct 390 ms 54780 KB Output is correct
6 Correct 735 ms 97468 KB Output is correct
7 Correct 749 ms 97684 KB Output is correct
8 Correct 770 ms 97688 KB Output is correct
9 Correct 725 ms 97684 KB Output is correct
10 Correct 749 ms 97672 KB Output is correct
11 Correct 388 ms 54716 KB Output is correct
12 Correct 244 ms 37312 KB Output is correct
13 Incorrect 757 ms 97688 KB Output isn't correct
14 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 2 ms 4432 KB Output is correct
13 Correct 2 ms 4432 KB Output is correct
14 Correct 1 ms 4432 KB Output is correct
15 Correct 2 ms 4432 KB Output is correct
16 Correct 2 ms 2384 KB Output is correct
17 Correct 1 ms 2552 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 751 ms 97628 KB Output is correct
20 Correct 763 ms 97468 KB Output is correct
21 Correct 781 ms 97724 KB Output is correct
22 Correct 778 ms 97724 KB Output is correct
23 Correct 390 ms 54780 KB Output is correct
24 Correct 183 ms 108484 KB Output is correct
25 Correct 183 ms 108484 KB Output is correct
26 Correct 184 ms 108632 KB Output is correct
27 Correct 184 ms 108448 KB Output is correct
28 Correct 187 ms 108484 KB Output is correct
29 Correct 89 ms 48828 KB Output is correct
30 Correct 82 ms 49028 KB Output is correct
31 Correct 84 ms 48836 KB Output is correct
32 Correct 49 ms 11888 KB Output is correct
33 Correct 95 ms 12988 KB Output is correct
34 Correct 87 ms 12988 KB Output is correct
35 Correct 87 ms 12988 KB Output is correct
36 Correct 84 ms 12988 KB Output is correct
37 Correct 94 ms 12948 KB Output is correct
38 Correct 81 ms 12988 KB Output is correct
39 Correct 81 ms 12988 KB Output is correct
40 Correct 70 ms 11460 KB Output is correct
41 Correct 67 ms 11452 KB Output is correct
42 Correct 69 ms 11452 KB Output is correct
43 Correct 735 ms 97468 KB Output is correct
44 Correct 749 ms 97684 KB Output is correct
45 Correct 770 ms 97688 KB Output is correct
46 Correct 725 ms 97684 KB Output is correct
47 Correct 749 ms 97672 KB Output is correct
48 Correct 388 ms 54716 KB Output is correct
49 Correct 244 ms 37312 KB Output is correct
50 Incorrect 757 ms 97688 KB Output isn't correct
51 Halted 0 ms 0 KB -