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Submission #683133

# Submission time Handle Problem Language Result Execution time Memory
683133 2023-01-17T19:31:37 Z phoenix Chessboard (IZhO18_chessboard) C++17
100 / 100
 1490 ms 3416 KB 
#include<bits/stdc++.h>

using namespace std;

typedef long long ll;

struct point {
    ll x, y;
};

// returns number of black ceils on chess board a x b, f - color of first ceil (0 - white, 1 - black)
ll black_nums(ll a, ll b, bool f) {
    if(a < 0 || b < 0) return 0;
    if(f) return ((a + 1) >> 1) * ((b + 1) >> 1) + (a >> 1) * (b >> 1); 
    return (a >> 1) * ((b + 1) >> 1) + ((a + 1) >> 1) * (b >> 1);
}   
ll func(point p1, point p2, ll d, bool cl) {
    if(p1.x == p2.x && p1.y == p2.y) {
        return (cl ^ ((p1.x / d + p1.y / d) & 1));
    }
    ll cp1y = p1.y / d, cp1x = p1.x / d, cp2x = p2.x / d, cp2y = p2.y / d;
    ll x1 = p1.x, x2 = p2.x, y1 = p1.y, y2 = p2.y;
    ll dx1 = ((d - p1.x % d) % d);
    ll dy1 = ((d - p1.y % d) % d);
    ll dx2 = ((p2.x + 1) % d);
    ll dy2 = ((p2.y + 1) % d);
    if((dx1 || dx2) && cp1x == cp2x) dx1 = p2.x - p1.x + 1, dx2 = 0; 
    x1 += dx1; x2 -= dx2;
    if((dx1 || dx2) && cp1y == cp2y) dy1 = p2.y - p1.y + 1, dy2 = 0; 
    y1 += dy1; y2 -= dy2;
    ll cx1 = x1 / d, cy1 = y1 / d;
    ll cnt = 0;
    cnt += black_nums((x2 - x1 + 1) / d, (y2 - y1 + 1) / d, (cl ^ ((cx1 + cy1) & 1))) * d * d;
    cnt += black_nums((x2 - x1 + 1) / d, 1, (cl ^ ((cx1 + cp1y) & 1))) * dy1 * d;
    cnt += black_nums((x2 - x1 + 1) / d, 1, (cl ^ ((cx1 + cp2y) & 1))) * dy2 * d;
    cnt += black_nums(1, (y2 - y1 + 1) / d, (cl ^ ((cp1x + cy1) & 1))) * dx1 * d;
    cnt += black_nums(1, (y2 - y1 + 1) / d, (cl ^ ((cp2x + cy1) & 1))) * dx2 * d;
    cnt += (cl ^ ((cp1x + cp1y) & 1)) * dx1 * dy1;
    if(p2.x > p1.x) cnt += (cl ^ ((cp2x + cp1y) & 1)) * dx2 * dy1;
    if(p2.y > p1.y) cnt += (cl ^ ((cp1x + cp2y) & 1)) * dx1 * dy2;
    if(p2.x > p1.x && p2.y > p1.y) cnt += (cl ^ ((cp2x + cp2y) & 1)) * dx2 * dy2;
    return cnt;
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    
    ll n, k;
    cin >> n >> k;
    point v1[k], v2[k];
    for(int i = 0; i < k; i++) {
        point p1, p2;
        cin >> p1.x >> p1.y;
        p1.x--; p1.y--;
        cin >> p2.x >> p2.y;
        p2.x--; p2.y--;
        v1[i] = p1; v2[i] = p2;
    }
    ll ans = n * n;
    for(ll D = 1; D < n; D++) {
        if(n % D) continue;
        ll d = D;
        ll val1 = 0, val2 = 0;
        val1 = black_nums(n / d, n / d, 1) * d * d;
        val2 = black_nums(n / d, n / d, 0) * d * d;
        for(int i = 0; i < k; i++) {
            val1 += (v2[i].x - v1[i].x + 1) * (v2[i].y - v1[i].y + 1) - 2 * func(v1[i], v2[i], d, 1);
            val2 += (v2[i].x - v1[i].x + 1) * (v2[i].y - v1[i].y + 1) - 2 * func(v1[i], v2[i], d, 0);
        }
        ans = min(ans, val1);
        ans = min(ans, val2);
        // if(D == 1) continue;
        // d = n / D;
        // val1 = black_nums(n / d, n / d, 1) * d * d;
        // val2 = black_nums(n / d, n / d, 0) * d * d;
        // for(int i = 0; i < k; i++) {
        //     val1 += (v2[i].x - v1[i].x + 1) * (v2[i].y - v1[i].y + 1) - 2 * func(v1[i], v2[i], d, 1);
        //     val2 += (v2[i].x - v1[i].x + 1) * (v2[i].y - v1[i].y + 1) - 2 * func(v1[i], v2[i], d, 0);
        // }
        // ans = min(ans, val1);
        // ans = min(ans, val2);
    }
    cout << ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 212 KB Output is correct
5 Correct 0 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 0 ms 212 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 2276 KB Output is correct
2 Correct 7 ms 724 KB Output is correct
3 Correct 16 ms 1548 KB Output is correct
4 Correct 13 ms 1748 KB Output is correct
5 Correct 17 ms 2020 KB Output is correct
6 Correct 11 ms 1364 KB Output is correct
7 Correct 3 ms 468 KB Output is correct
8 Correct 11 ms 1364 KB Output is correct
9 Correct 29 ms 3144 KB Output is correct
10 Correct 17 ms 1888 KB Output is correct

Subtask #3
15.0 / 15.0

# 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 1 ms 340 KB Output is correct
5 Correct 1 ms 340 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 340 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 0 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct

Subtask #4
16.0 / 16.0

# 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 1 ms 340 KB Output is correct
5 Correct 1 ms 340 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 340 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 0 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 9 ms 1180 KB Output is correct
17 Correct 23 ms 2952 KB Output is correct
18 Correct 37 ms 3284 KB Output is correct
19 Correct 71 ms 3028 KB Output is correct
20 Correct 79 ms 3380 KB Output is correct
21 Correct 22 ms 2856 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 18 ms 1640 KB Output is correct
24 Correct 26 ms 3028 KB Output is correct
25 Correct 4 ms 468 KB Output is correct
26 Correct 22 ms 2004 KB Output is correct
27 Correct 23 ms 2444 KB Output is correct
28 Correct 28 ms 3284 KB Output is correct
29 Correct 14 ms 1356 KB Output is correct
30 Correct 1 ms 340 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 2276 KB Output is correct
2 Correct 7 ms 724 KB Output is correct
3 Correct 16 ms 1548 KB Output is correct
4 Correct 13 ms 1748 KB Output is correct
5 Correct 17 ms 2020 KB Output is correct
6 Correct 11 ms 1364 KB Output is correct
7 Correct 3 ms 468 KB Output is correct
8 Correct 11 ms 1364 KB Output is correct
9 Correct 29 ms 3144 KB Output is correct
10 Correct 17 ms 1888 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 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 340 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 0 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 9 ms 1180 KB Output is correct
27 Correct 23 ms 2952 KB Output is correct
28 Correct 37 ms 3284 KB Output is correct
29 Correct 71 ms 3028 KB Output is correct
30 Correct 79 ms 3380 KB Output is correct
31 Correct 22 ms 2856 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 18 ms 1640 KB Output is correct
34 Correct 26 ms 3028 KB Output is correct
35 Correct 4 ms 468 KB Output is correct
36 Correct 22 ms 2004 KB Output is correct
37 Correct 23 ms 2444 KB Output is correct
38 Correct 28 ms 3284 KB Output is correct
39 Correct 14 ms 1356 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 67 ms 2900 KB Output is correct
42 Correct 33 ms 3156 KB Output is correct
43 Correct 54 ms 2900 KB Output is correct
44 Correct 32 ms 3156 KB Output is correct
45 Correct 29 ms 3364 KB Output is correct
46 Correct 82 ms 3156 KB Output is correct
47 Correct 26 ms 2900 KB Output is correct
48 Correct 40 ms 3032 KB Output is correct
49 Correct 32 ms 2916 KB Output is correct
50 Correct 284 ms 3132 KB Output is correct
51 Correct 308 ms 3332 KB Output is correct
52 Correct 286 ms 3028 KB Output is correct
53 Correct 301 ms 3304 KB Output is correct
54 Correct 295 ms 3028 KB Output is correct
55 Correct 304 ms 3416 KB Output is correct
56 Correct 286 ms 2988 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 1 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 0 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 0 ms 212 KB Output is correct
9 Correct 22 ms 2276 KB Output is correct
10 Correct 7 ms 724 KB Output is correct
11 Correct 16 ms 1548 KB Output is correct
12 Correct 13 ms 1748 KB Output is correct
13 Correct 17 ms 2020 KB Output is correct
14 Correct 11 ms 1364 KB Output is correct
15 Correct 3 ms 468 KB Output is correct
16 Correct 11 ms 1364 KB Output is correct
17 Correct 29 ms 3144 KB Output is correct
18 Correct 17 ms 1888 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 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 340 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 0 ms 212 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 9 ms 1180 KB Output is correct
35 Correct 23 ms 2952 KB Output is correct
36 Correct 37 ms 3284 KB Output is correct
37 Correct 71 ms 3028 KB Output is correct
38 Correct 79 ms 3380 KB Output is correct
39 Correct 22 ms 2856 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 18 ms 1640 KB Output is correct
42 Correct 26 ms 3028 KB Output is correct
43 Correct 4 ms 468 KB Output is correct
44 Correct 22 ms 2004 KB Output is correct
45 Correct 23 ms 2444 KB Output is correct
46 Correct 28 ms 3284 KB Output is correct
47 Correct 14 ms 1356 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 67 ms 2900 KB Output is correct
50 Correct 33 ms 3156 KB Output is correct
51 Correct 54 ms 2900 KB Output is correct
52 Correct 32 ms 3156 KB Output is correct
53 Correct 29 ms 3364 KB Output is correct
54 Correct 82 ms 3156 KB Output is correct
55 Correct 26 ms 2900 KB Output is correct
56 Correct 40 ms 3032 KB Output is correct
57 Correct 32 ms 2916 KB Output is correct
58 Correct 284 ms 3132 KB Output is correct
59 Correct 308 ms 3332 KB Output is correct
60 Correct 286 ms 3028 KB Output is correct
61 Correct 301 ms 3304 KB Output is correct
62 Correct 295 ms 3028 KB Output is correct
63 Correct 304 ms 3416 KB Output is correct
64 Correct 286 ms 2988 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Correct 1430 ms 3232 KB Output is correct
68 Correct 1425 ms 3212 KB Output is correct
69 Correct 1235 ms 2836 KB Output is correct
70 Correct 1278 ms 3148 KB Output is correct
71 Correct 1315 ms 3064 KB Output is correct
72 Correct 1300 ms 3000 KB Output is correct
73 Correct 1298 ms 2956 KB Output is correct
74 Correct 1435 ms 3188 KB Output is correct
75 Correct 1341 ms 3028 KB Output is correct
76 Correct 1443 ms 3228 KB Output is correct
77 Correct 208 ms 3372 KB Output is correct
78 Correct 58 ms 3156 KB Output is correct
79 Correct 134 ms 2960 KB Output is correct
80 Correct 164 ms 3064 KB Output is correct
81 Correct 132 ms 2852 KB Output is correct
82 Correct 105 ms 3252 KB Output is correct
83 Correct 76 ms 2972 KB Output is correct
84 Correct 833 ms 3308 KB Output is correct
85 Correct 1471 ms 3412 KB Output is correct
86 Correct 3 ms 212 KB Output is correct
87 Correct 1 ms 212 KB Output is correct
88 Correct 1490 ms 3412 KB Output is correct
89 Correct 304 ms 852 KB Output is correct
90 Correct 1 ms 212 KB Output is correct