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Submission #1105677

# Submission time Handle Problem Language Result Execution time Memory
1105677 2024-10-27T10:01:47 Z Zicrus Mosaic (IOI24_mosaic) C++17
100 / 100
 123 ms 51984 KB 
#include <bits/stdc++.h>
#include "mosaic.h"
using namespace std;

typedef long long ll;

ll n, q;
vector<vector<ll>> lay, layPref;
vector<ll> stairs;

vector<ll> mosaic(vector<int> X, vector<int> Y, vector<int> T, vector<int> B, vector<int> L, vector<int> R) {
    n = X.size();
    q = T.size();
    lay = vector<vector<ll>>(5, vector<ll>(2*n-1));
    layPref = vector<vector<ll>>(5, vector<ll>(2*n));
    stairs = vector<ll>(2*n);
    vector<ll> res(q);
    for (int i = 0; i < n; i++) {
        lay[0][n-1+i] = X[i];
        lay[0][n-1-i] = Y[i];
    }
    for (int L = 1; L < min(5ll, n); L++) {
        ll mid = n-1-L;
        lay[L][mid] = !lay[L-1][mid] && !lay[L-1][mid+2];
        for (int i = mid+1; i < 2*n-1-2*L; i++) {
            lay[L][i] = !lay[L][i-1] && !lay[L-1][i+2];
        }
        for (int i = mid-1; i >= 0; i--) {
            lay[L][i] = !lay[L][i+1] && !lay[L-1][i];
        }
    }
    for (int L = 0; L < min(5ll, n); L++) {
        for (int i = 0; i < 2*n-1-2*L; i++) {
            layPref[L][i+1] = layPref[L][i] + lay[L][i];
        }
    }
    if (n >= 5) {
        for (int i = 0; i < 2*n-1; i++) {
            stairs[i+1] = stairs[i] + (i+1)*lay[4][i];
        }
    }

    // Solve
    for (int k = 0; k < q; k++) {
        ll t = T[k], b = B[k], l = L[k], r = R[k];
        ll ans = 0;
        bool skip = false;
        while (t < 5 || l < 5) {
            if (t < l) { // Move t
                ll L = t;
                ll mid = n-1-L;
                ll ref = mid-L;
                ll idL = ref + l;
                ll idR = ref + r;
                ans += layPref[L][idR+1] - layPref[L][idL];
                t++;
            }
            else { // Move l
                ll L = l;
                ll idL = n-1-b;
                ll idR = n-1-t;
                ans += layPref[L][idR+1] - layPref[L][idL];
                l++;
            }

            // Check if done
            if (b-t < 0 || r-l < 0) {
                skip = true;
                break;
            }
        }

        if (skip) {
            res[k] = ans;
            continue;
        }

        // Get remaining area
        ll idBL = n-1-b + l-4;
        ll idBR = n-1-b + r-4;
        ll idTL = n-1-t + l-4;
        ll idTR = n-1-t + r-4;

        ll idL = min(idTL, idBR);
        ll idR = max(idTL, idBR);
        ll idLL = idBL;
        ll idRR = idTR;
        ll w = min(b-t+1, r-l+1);
        
        ans += (layPref[4][idR+1] - layPref[4][idL]) * w; // middle
        ans += stairs[idL] - stairs[idLL] - (layPref[4][idL] - layPref[4][idLL])*idLL; // left
        ll rightStair = stairs[idRR+1] - stairs[idR+1] - (layPref[4][idRR+1] - layPref[4][idR+1])*(idR+1);
        ans += (layPref[4][idRR+1] - layPref[4][idR+1])*(idRR-idR+1) - rightStair; // right

        res[k] = ans;
    }
    return res;
}

#ifdef TEST
#include "grader.cpp"
#endif

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 608 KB Output is correct
2 Correct 1 ms 436 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 504 KB Output is correct
10 Correct 1 ms 436 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 608 KB Output is correct
2 Correct 1 ms 436 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 504 KB Output is correct
10 Correct 1 ms 436 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 504 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 109 ms 49664 KB Output is correct
2 Correct 94 ms 49680 KB Output is correct
3 Correct 94 ms 49100 KB Output is correct
4 Correct 96 ms 49680 KB Output is correct
5 Correct 77 ms 30424 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 608 KB Output is correct
2 Correct 1 ms 436 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 504 KB Output is correct
10 Correct 1 ms 436 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 504 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 68 ms 12616 KB Output is correct
19 Correct 65 ms 12812 KB Output is correct
20 Correct 65 ms 12432 KB Output is correct
21 Correct 67 ms 12360 KB Output is correct
22 Correct 67 ms 12616 KB Output is correct
23 Correct 68 ms 12104 KB Output is correct
24 Correct 63 ms 12104 KB Output is correct
25 Correct 62 ms 12112 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 9700 KB Output is correct
2 Correct 110 ms 46352 KB Output is correct
3 Correct 116 ms 50960 KB Output is correct
4 Correct 115 ms 50960 KB Output is correct
5 Correct 114 ms 51216 KB Output is correct
6 Correct 113 ms 51528 KB Output is correct
7 Correct 121 ms 51472 KB Output is correct
8 Correct 107 ms 51472 KB Output is correct
9 Correct 88 ms 31564 KB Output is correct
10 Correct 93 ms 31716 KB Output is correct
11 Correct 102 ms 31720 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 111 ms 45792 KB Output is correct
2 Correct 123 ms 51472 KB Output is correct
3 Correct 106 ms 49936 KB Output is correct
4 Correct 114 ms 49932 KB Output is correct
5 Correct 101 ms 51984 KB Output is correct
6 Correct 84 ms 31952 KB Output is correct
7 Correct 73 ms 23768 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 109 ms 49664 KB Output is correct
2 Correct 94 ms 49680 KB Output is correct
3 Correct 94 ms 49100 KB Output is correct
4 Correct 96 ms 49680 KB Output is correct
5 Correct 77 ms 30424 KB Output is correct
6 Correct 111 ms 45792 KB Output is correct
7 Correct 123 ms 51472 KB Output is correct
8 Correct 106 ms 49936 KB Output is correct
9 Correct 114 ms 49932 KB Output is correct
10 Correct 101 ms 51984 KB Output is correct
11 Correct 84 ms 31952 KB Output is correct
12 Correct 73 ms 23768 KB Output is correct
13 Correct 105 ms 51532 KB Output is correct
14 Correct 114 ms 51656 KB Output is correct
15 Correct 101 ms 51844 KB Output is correct
16 Correct 98 ms 49936 KB Output is correct
17 Correct 106 ms 51216 KB Output is correct
18 Correct 101 ms 51536 KB Output is correct
19 Correct 82 ms 27576 KB Output is correct

Subtask #8
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 608 KB Output is correct
3 Correct 1 ms 436 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 504 KB Output is correct
11 Correct 1 ms 436 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 504 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 109 ms 49664 KB Output is correct
20 Correct 94 ms 49680 KB Output is correct
21 Correct 94 ms 49100 KB Output is correct
22 Correct 96 ms 49680 KB Output is correct
23 Correct 77 ms 30424 KB Output is correct
24 Correct 68 ms 12616 KB Output is correct
25 Correct 65 ms 12812 KB Output is correct
26 Correct 65 ms 12432 KB Output is correct
27 Correct 67 ms 12360 KB Output is correct
28 Correct 67 ms 12616 KB Output is correct
29 Correct 68 ms 12104 KB Output is correct
30 Correct 63 ms 12104 KB Output is correct
31 Correct 62 ms 12112 KB Output is correct
32 Correct 56 ms 9700 KB Output is correct
33 Correct 110 ms 46352 KB Output is correct
34 Correct 116 ms 50960 KB Output is correct
35 Correct 115 ms 50960 KB Output is correct
36 Correct 114 ms 51216 KB Output is correct
37 Correct 113 ms 51528 KB Output is correct
38 Correct 121 ms 51472 KB Output is correct
39 Correct 107 ms 51472 KB Output is correct
40 Correct 88 ms 31564 KB Output is correct
41 Correct 93 ms 31716 KB Output is correct
42 Correct 102 ms 31720 KB Output is correct
43 Correct 111 ms 45792 KB Output is correct
44 Correct 123 ms 51472 KB Output is correct
45 Correct 106 ms 49936 KB Output is correct
46 Correct 114 ms 49932 KB Output is correct
47 Correct 101 ms 51984 KB Output is correct
48 Correct 84 ms 31952 KB Output is correct
49 Correct 73 ms 23768 KB Output is correct
50 Correct 105 ms 51532 KB Output is correct
51 Correct 114 ms 51656 KB Output is correct
52 Correct 101 ms 51844 KB Output is correct
53 Correct 98 ms 49936 KB Output is correct
54 Correct 106 ms 51216 KB Output is correct
55 Correct 101 ms 51536 KB Output is correct
56 Correct 82 ms 27576 KB Output is correct
57 Correct 111 ms 51472 KB Output is correct
58 Correct 106 ms 51216 KB Output is correct
59 Correct 112 ms 51664 KB Output is correct
60 Correct 110 ms 50960 KB Output is correct
61 Correct 109 ms 50960 KB Output is correct
62 Correct 111 ms 51148 KB Output is correct
63 Correct 94 ms 31788 KB Output is correct
64 Correct 81 ms 22564 KB Output is correct