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Submission #674974

# Submission time Handle Problem Language Result Execution time Memory
674974 2022-12-26T18:04:03 Z LucaIlie Chessboard (IZhO18_chessboard) C++17
100 / 100
 755 ms 5836 KB 
#include <bits/stdc++.h>

#define int long long

using namespace std;

const int maxK = 1e5;

struct rectangle {
    int l1, c1, l2, c2;
};

int l;
rectangle black[maxK];

int nxt( int x ) {
    return (x / l + 1) * l;
}

int prv( int x ) {
    return x / l * l - 1;
}

long long wbSq( int lin, int col, bool color ) {
    if ( lin == 0 || col == 0 )
        return 0;
    return ((lin / 2) * ((col + 1) / 2) + ((lin + 1) / 2) * (col / 2) - ((lin + 1) / 2) * ((col + 1) / 2) - ((lin / 2) * (col / 2))) * (color == 0 ? 1 : -1);
}

long long getCost( rectangle r ) {
    int l1 = r.l1, c1 = r.c1, l2 = r.l2, c2 = r.c2;
    long long cost = 0;

    if ( l1 / l == l2 / l && c1 / l == c2 / l )
        cost += (l2 - l1 + 1) * (c2 - c1 + 1) * wbSq( 1, 1, (l1 / l + c1 / l) % 2 );
    else if ( l1 / l == l2 / l ) {
        cost += (l2 - l1 + 1) * (nxt( c1 ) - c1) * wbSq( 1, 1, (l1 / l + c1 / l) % 2 );
        cost += (l2 - l1 + 1) * (c2 - prv( c2 )) * wbSq( 1, 1, (l2 / l + c2 / l) % 2 );

        cost += l * (l2 - l1 + 1) * wbSq( 1, c2 / l - c1 / l - 1, (l1 / l + nxt( c1 ) / l) % 2 );
    } else if ( c1 / l == c2 / l ) {
        cost += (nxt( l1 ) - l1) * (c2 - c1 + 1) * wbSq( 1, 1, (l1 / l + c2 / l) % 2 );
        cost += (l2 - prv( l2 )) * (c2 - c1 + 1) * wbSq( 1, 1, (l2 / l + c2 / l) % 2 );

        cost += l * (c2 - c1 + 1) * wbSq( l2 / l - l1 / l - 1, 1, (nxt( l1 ) / l + c1 / l) % 2 );
    } else {
        cost += (nxt( l1 ) - l1) * (nxt( c1 ) - c1) * wbSq( 1, 1, (l1 / l + c1 / l) % 2 );
        cost += (nxt( l1 ) - l1) * (c2 - prv( c2 )) * wbSq( 1, 1, (l1 / l + c2 / l) % 2 );
        cost += (l2 - prv( l2 )) * (nxt( c1 ) - c1) * wbSq( 1, 1, (l2 / l + c1 / l) % 2 );
        cost += (l2 - prv( l2 )) * (c2 - prv( c2 )) * wbSq( 1, 1, (l2 / l + c2 / l) % 2 );

        cost += l * (nxt( l1 ) - l1) * wbSq( 1, c2 / l - c1 / l - 1, (l1 / l + nxt( c1 ) / l) % 2 );
        cost += l * (nxt( c1 ) - c1) * wbSq( l2 / l - l1 / l - 1, 1, (nxt( l1 ) / l + c1 / l) % 2 );
        cost += l * (l2 - prv( l2 )) * wbSq( 1, c2 / l - c1 / l - 1, (l2 / l + nxt( c1 ) / l) % 2 );
        cost += l * (c2 - prv( c2 )) * wbSq( l2 / l - l1 / l - 1, 1, (nxt( l1 ) / l + c2 / l) % 2 );

        cost += l * l * wbSq( l2 / l - l1 / l - 1, c2 / l - c1 / l - 1, (nxt( l1 ) / l + nxt( c1 ) / l) % 2 );
    }


    return cost;
}

signed main() {
    int n, k;
    long long cost, minCost;

    cin >> n >> k;
    for ( int i = 0; i < k; i++ ) {
        cin >> black[i].l1 >> black[i].c1 >> black[i].l2 >> black[i].c2;
        black[i].l1--;
        black[i].c1--;
        black[i].l2--;
        black[i].c2--;
    }

    minCost = n * n;
    for ( l = 1; l < n; l++ ) {
        if ( n % l == 0 ) {
            int x = (n / l + 1) / 2, y = n / l / 2;

            cost = (l * l) * (x * x + y * y);
            for ( int i = 0; i < k; i++ )
                cost += getCost( black[i] );
            minCost = min( minCost, cost );

            cost = 2 * x * y * l * l;
            for ( int i = 0; i < k; i++ )
                cost -= getCost( black[i] );
            minCost = min( minCost, cost );
        }
    }

    cout << minCost;

    return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 2296 KB Output is correct
2 Correct 21 ms 724 KB Output is correct
3 Correct 41 ms 1404 KB Output is correct
4 Correct 42 ms 1604 KB Output is correct
5 Correct 58 ms 1992 KB Output is correct
6 Correct 36 ms 1356 KB Output is correct
7 Correct 8 ms 468 KB Output is correct
8 Correct 36 ms 1372 KB Output is correct
9 Correct 95 ms 3088 KB Output is correct
10 Correct 51 ms 1840 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 2 ms 340 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 26 ms 1164 KB Output is correct
17 Correct 76 ms 2900 KB Output is correct
18 Correct 91 ms 3352 KB Output is correct
19 Correct 167 ms 2940 KB Output is correct
20 Correct 187 ms 3368 KB Output is correct
21 Correct 64 ms 2744 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 44 ms 1608 KB Output is correct
24 Correct 83 ms 2980 KB Output is correct
25 Correct 9 ms 468 KB Output is correct
26 Correct 50 ms 2052 KB Output is correct
27 Correct 68 ms 2408 KB Output is correct
28 Correct 83 ms 3184 KB Output is correct
29 Correct 28 ms 1292 KB Output is correct
30 Correct 3 ms 340 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 2296 KB Output is correct
2 Correct 21 ms 724 KB Output is correct
3 Correct 41 ms 1404 KB Output is correct
4 Correct 42 ms 1604 KB Output is correct
5 Correct 58 ms 1992 KB Output is correct
6 Correct 36 ms 1356 KB Output is correct
7 Correct 8 ms 468 KB Output is correct
8 Correct 36 ms 1372 KB Output is correct
9 Correct 95 ms 3088 KB Output is correct
10 Correct 51 ms 1840 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 26 ms 1164 KB Output is correct
27 Correct 76 ms 2900 KB Output is correct
28 Correct 91 ms 3352 KB Output is correct
29 Correct 167 ms 2940 KB Output is correct
30 Correct 187 ms 3368 KB Output is correct
31 Correct 64 ms 2744 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 44 ms 1608 KB Output is correct
34 Correct 83 ms 2980 KB Output is correct
35 Correct 9 ms 468 KB Output is correct
36 Correct 50 ms 2052 KB Output is correct
37 Correct 68 ms 2408 KB Output is correct
38 Correct 83 ms 3184 KB Output is correct
39 Correct 28 ms 1292 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 170 ms 2960 KB Output is correct
42 Correct 115 ms 3212 KB Output is correct
43 Correct 127 ms 2784 KB Output is correct
44 Correct 103 ms 3036 KB Output is correct
45 Correct 101 ms 3348 KB Output is correct
46 Correct 194 ms 3252 KB Output is correct
47 Correct 92 ms 2924 KB Output is correct
48 Correct 117 ms 3000 KB Output is correct
49 Correct 103 ms 2864 KB Output is correct
50 Correct 612 ms 3156 KB Output is correct
51 Correct 647 ms 3308 KB Output is correct
52 Correct 612 ms 3100 KB Output is correct
53 Correct 637 ms 3288 KB Output is correct
54 Correct 598 ms 3064 KB Output is correct
55 Correct 666 ms 3404 KB Output is correct
56 Correct 592 ms 2912 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 76 ms 2296 KB Output is correct
10 Correct 21 ms 724 KB Output is correct
11 Correct 41 ms 1404 KB Output is correct
12 Correct 42 ms 1604 KB Output is correct
13 Correct 58 ms 1992 KB Output is correct
14 Correct 36 ms 1356 KB Output is correct
15 Correct 8 ms 468 KB Output is correct
16 Correct 36 ms 1372 KB Output is correct
17 Correct 95 ms 3088 KB Output is correct
18 Correct 51 ms 1840 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 26 ms 1164 KB Output is correct
35 Correct 76 ms 2900 KB Output is correct
36 Correct 91 ms 3352 KB Output is correct
37 Correct 167 ms 2940 KB Output is correct
38 Correct 187 ms 3368 KB Output is correct
39 Correct 64 ms 2744 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 44 ms 1608 KB Output is correct
42 Correct 83 ms 2980 KB Output is correct
43 Correct 9 ms 468 KB Output is correct
44 Correct 50 ms 2052 KB Output is correct
45 Correct 68 ms 2408 KB Output is correct
46 Correct 83 ms 3184 KB Output is correct
47 Correct 28 ms 1292 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 170 ms 2960 KB Output is correct
50 Correct 115 ms 3212 KB Output is correct
51 Correct 127 ms 2784 KB Output is correct
52 Correct 103 ms 3036 KB Output is correct
53 Correct 101 ms 3348 KB Output is correct
54 Correct 194 ms 3252 KB Output is correct
55 Correct 92 ms 2924 KB Output is correct
56 Correct 117 ms 3000 KB Output is correct
57 Correct 103 ms 2864 KB Output is correct
58 Correct 612 ms 3156 KB Output is correct
59 Correct 647 ms 3308 KB Output is correct
60 Correct 612 ms 3100 KB Output is correct
61 Correct 637 ms 3288 KB Output is correct
62 Correct 598 ms 3064 KB Output is correct
63 Correct 666 ms 3404 KB Output is correct
64 Correct 592 ms 2912 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Correct 725 ms 3200 KB Output is correct
68 Correct 701 ms 5332 KB Output is correct
69 Correct 617 ms 4772 KB Output is correct
70 Correct 687 ms 5256 KB Output is correct
71 Correct 659 ms 5168 KB Output is correct
72 Correct 677 ms 5108 KB Output is correct
73 Correct 650 ms 5080 KB Output is correct
74 Correct 702 ms 5368 KB Output is correct
75 Correct 686 ms 5152 KB Output is correct
76 Correct 723 ms 5484 KB Output is correct
77 Correct 186 ms 5836 KB Output is correct
78 Correct 106 ms 5120 KB Output is correct
79 Correct 137 ms 4848 KB Output is correct
80 Correct 153 ms 5164 KB Output is correct
81 Correct 133 ms 4708 KB Output is correct
82 Correct 130 ms 5452 KB Output is correct
83 Correct 129 ms 4940 KB Output is correct
84 Correct 467 ms 5556 KB Output is correct
85 Correct 735 ms 5804 KB Output is correct
86 Correct 2 ms 212 KB Output is correct
87 Correct 1 ms 212 KB Output is correct
88 Correct 755 ms 5792 KB Output is correct
89 Correct 153 ms 1284 KB Output is correct
90 Correct 1 ms 212 KB Output is correct