Submission #1109002

# Submission time Handle Problem Language Result Execution time Memory
1109002 2024-11-05T18:41:13 Z Kerim Mosaic (IOI24_mosaic) C++17
78 / 100
1000 ms 108484 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;
            while (x <= xx){
                res += cnt[a] - cnt[b-1];
                x += 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 4688 KB Output is correct
12 Correct 1 ms 4432 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 1 ms 4432 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 2 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 788 ms 97612 KB Output is correct
2 Correct 774 ms 97504 KB Output is correct
3 Correct 764 ms 97724 KB Output is correct
4 Correct 751 ms 97540 KB Output is correct
5 Correct 369 ms 54716 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 4688 KB Output is correct
12 Correct 1 ms 4432 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 1 ms 4432 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 2 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 190 ms 108452 KB Output is correct
19 Correct 178 ms 108484 KB Output is correct
20 Correct 190 ms 108448 KB Output is correct
21 Correct 188 ms 108472 KB Output is correct
22 Correct 184 ms 108484 KB Output is correct
23 Correct 87 ms 48828 KB Output is correct
24 Correct 89 ms 49084 KB Output is correct
25 Correct 82 ms 49032 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 46 ms 11900 KB Output is correct
2 Correct 96 ms 13268 KB Output is correct
3 Correct 85 ms 12884 KB Output is correct
4 Correct 95 ms 12988 KB Output is correct
5 Correct 85 ms 12952 KB Output is correct
6 Correct 88 ms 12988 KB Output is correct
7 Correct 86 ms 12996 KB Output is correct
8 Correct 81 ms 12952 KB Output is correct
9 Correct 73 ms 11320 KB Output is correct
10 Correct 85 ms 11460 KB Output is correct
11 Correct 71 ms 11452 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 759 ms 97684 KB Output is correct
2 Correct 770 ms 97680 KB Output is correct
3 Correct 819 ms 97724 KB Output is correct
4 Correct 802 ms 97688 KB Output is correct
5 Correct 773 ms 97724 KB Output is correct
6 Correct 386 ms 54856 KB Output is correct
7 Correct 224 ms 37432 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 788 ms 97612 KB Output is correct
2 Correct 774 ms 97504 KB Output is correct
3 Correct 764 ms 97724 KB Output is correct
4 Correct 751 ms 97540 KB Output is correct
5 Correct 369 ms 54716 KB Output is correct
6 Correct 759 ms 97684 KB Output is correct
7 Correct 770 ms 97680 KB Output is correct
8 Correct 819 ms 97724 KB Output is correct
9 Correct 802 ms 97688 KB Output is correct
10 Correct 773 ms 97724 KB Output is correct
11 Correct 386 ms 54856 KB Output is correct
12 Correct 224 ms 37432 KB Output is correct
13 Correct 757 ms 97712 KB Output is correct
14 Correct 810 ms 97636 KB Output is correct
15 Correct 747 ms 97640 KB Output is correct
16 Correct 756 ms 97484 KB Output is correct
17 Correct 740 ms 97680 KB Output is correct
18 Correct 773 ms 100180 KB Output is correct
19 Correct 302 ms 45704 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 1 ms 336 KB Output is correct
12 Correct 2 ms 4688 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 1 ms 4432 KB Output is correct
15 Correct 1 ms 4432 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 2 ms 2384 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 788 ms 97612 KB Output is correct
20 Correct 774 ms 97504 KB Output is correct
21 Correct 764 ms 97724 KB Output is correct
22 Correct 751 ms 97540 KB Output is correct
23 Correct 369 ms 54716 KB Output is correct
24 Correct 190 ms 108452 KB Output is correct
25 Correct 178 ms 108484 KB Output is correct
26 Correct 190 ms 108448 KB Output is correct
27 Correct 188 ms 108472 KB Output is correct
28 Correct 184 ms 108484 KB Output is correct
29 Correct 87 ms 48828 KB Output is correct
30 Correct 89 ms 49084 KB Output is correct
31 Correct 82 ms 49032 KB Output is correct
32 Correct 46 ms 11900 KB Output is correct
33 Correct 96 ms 13268 KB Output is correct
34 Correct 85 ms 12884 KB Output is correct
35 Correct 95 ms 12988 KB Output is correct
36 Correct 85 ms 12952 KB Output is correct
37 Correct 88 ms 12988 KB Output is correct
38 Correct 86 ms 12996 KB Output is correct
39 Correct 81 ms 12952 KB Output is correct
40 Correct 73 ms 11320 KB Output is correct
41 Correct 85 ms 11460 KB Output is correct
42 Correct 71 ms 11452 KB Output is correct
43 Correct 759 ms 97684 KB Output is correct
44 Correct 770 ms 97680 KB Output is correct
45 Correct 819 ms 97724 KB Output is correct
46 Correct 802 ms 97688 KB Output is correct
47 Correct 773 ms 97724 KB Output is correct
48 Correct 386 ms 54856 KB Output is correct
49 Correct 224 ms 37432 KB Output is correct
50 Correct 757 ms 97712 KB Output is correct
51 Correct 810 ms 97636 KB Output is correct
52 Correct 747 ms 97640 KB Output is correct
53 Correct 756 ms 97484 KB Output is correct
54 Correct 740 ms 97680 KB Output is correct
55 Correct 773 ms 100180 KB Output is correct
56 Correct 302 ms 45704 KB Output is correct
57 Execution timed out 1059 ms 97592 KB Time limit exceeded
58 Halted 0 ms 0 KB -