Submission #168589

# Submission time Handle Problem Language Result Execution time Memory
168589 2019-12-14T03:38:33 Z timothyhorsc Chessboard (IZhO18_chessboard) C++14
100 / 100
1400 ms 9720 KB
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define REP(i, l, r) for (int i=(l); i<(r); ++i)
#define RREP(i, r, l) for (int i=(r); i>(l); --i)
#define vi vector<int>
#define popcount __builtin_popcountll

const int INF = 1LL<<60;
const int MOD = 1000000007;

template<typename T> istream &operator>>(istream &is, vector<T> &vec){ for (auto &v : vec) is >> v; return is; }

template <typename A, typename B>
string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> t) {
    return "(" + to_string(get<0>(t)) + ", " + to_string(get<1>(t)) + ", " + to_string(get<2>(t)) + ")";
}

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> t) {
    return "(" + to_string(get<0>(t)) + ", " + to_string(get<1>(t)) + ", " + to_string(get<2>(t)) + ", " + to_string(get<3>(t)) + ")";
}

template <typename A>
string to_string(vector<A> v) {
    bool first = true;
    string result = "[";
    for (A i : v) {
        if (!first) result += ", ";
        first = false;
        result += to_string(i); 
    }
    return result + "]";
}

string bin_string(int x) {
    const int d = 64;
    string result(d, ' ');
    RREP(i, d-1, -1) result[d-1-i] = '0'+((x&1LL<<i)!=0);
    return result;
}

vector<int> getZ(string s) {
    int n = s.size();
    vector<int> z(n);
    int x = 0, y = 0;
    REP(i, 1, n) {
        z[i] = max(0LL, min(z[i-x], y-i+1));
        while (i+z[i] < n && s[z[i]] == s[i+z[i]]) {
            x = i;
            y = i+z[i];
            ++z[i];
        }
    }
    return z;
}

int powa(int base, int exp) {
    if (exp<=0) return 1;
    if (base<=0) return 0;
    int val = powa(base, exp>>1);
    val = val*val % MOD;
    if (exp&1) {
        val = val*base % MOD;
    }
    return val;
}

int n, k, res=INF;
vector<vi> blocks;

int bc(int d, int x1, int x2) {
    int firstb = x1/(2*d), lastb = x2/(2*d);
    int b = d*(lastb-firstb+1);
    firstb *= 2*d;
    lastb *= 2*d;
    b -= min(d, x1-firstb);
    b -= max(0LL, lastb+d-1-x2);
    return b;
}

void getcost(int d) {
    int bsq = ((n/d)*(n/d)+1)/2;
    int wsq = (n/d)*(n/d)/2;
    int mincost = (wsq-k) * d*d;
    //if (mincost >= res) return;
    int cost = bsq * d*d;
    for (vi block : blocks) {
        int x1=block[0],y1=block[1],x2=block[2],y2=block[3];
        --x1; --x2; --y1; --y2;
        int h = bc(d, x1, x2);
        int v = bc(d, y1, y2);
        int b = h*v + (x2-x1+1-h)*(y2-y1+1-v);
        int w = (x2-x1+1)*(y2-y1+1)-b;
        cost -= b;
        cost += w;
    }
    res = min(res, cost);
    res = min(res, n*n-cost);
    // cout << d << ": " << cost << ' ' << n*n-cost << '\n';
}

main() {
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);

    cin >> n >> k;
    blocks.assign(k, vi(4));
    cin >> blocks;

    vi factors;
    for (int d=1; d*d<=n; ++d) {
        if (n%d==0) {
            factors.push_back(d);
            if (d*d!=n && d != 1) factors.push_back(n/d);
        }
    }
    sort(factors.rbegin(), factors.rend());
    for (int d : factors) {
        getcost(d);
    }
    cout << res;
}

Compilation message

chessboard.cpp: In function 'void getcost(long long int)':
chessboard.cpp:91:9: warning: unused variable 'mincost' [-Wunused-variable]
     int mincost = (wsq-k) * d*d;
         ^~~~~~~
chessboard.cpp: At global scope:
chessboard.cpp:109:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
 main() {
      ^
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 41 ms 5752 KB Output is correct
2 Correct 12 ms 1912 KB Output is correct
3 Correct 26 ms 3320 KB Output is correct
4 Correct 29 ms 4472 KB Output is correct
5 Correct 37 ms 5724 KB Output is correct
6 Correct 24 ms 3320 KB Output is correct
7 Correct 7 ms 1024 KB Output is correct
8 Correct 24 ms 3576 KB Output is correct
9 Correct 59 ms 8796 KB Output is correct
10 Correct 34 ms 4984 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 3 ms 376 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 3 ms 376 KB Output is correct
6 Correct 3 ms 372 KB Output is correct
7 Correct 3 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 3 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 3 ms 376 KB Output is correct
14 Correct 3 ms 380 KB Output is correct
15 Correct 3 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 3 ms 376 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 3 ms 376 KB Output is correct
6 Correct 3 ms 372 KB Output is correct
7 Correct 3 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 3 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 3 ms 376 KB Output is correct
14 Correct 3 ms 380 KB Output is correct
15 Correct 3 ms 376 KB Output is correct
16 Correct 23 ms 2680 KB Output is correct
17 Correct 48 ms 7644 KB Output is correct
18 Correct 75 ms 8696 KB Output is correct
19 Correct 268 ms 8008 KB Output is correct
20 Correct 299 ms 8840 KB Output is correct
21 Correct 47 ms 7288 KB Output is correct
22 Correct 3 ms 376 KB Output is correct
23 Correct 50 ms 3960 KB Output is correct
24 Correct 68 ms 8244 KB Output is correct
25 Correct 12 ms 1016 KB Output is correct
26 Correct 44 ms 5112 KB Output is correct
27 Correct 65 ms 6264 KB Output is correct
28 Correct 73 ms 8696 KB Output is correct
29 Correct 20 ms 3292 KB Output is correct
30 Correct 4 ms 620 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 41 ms 5752 KB Output is correct
2 Correct 12 ms 1912 KB Output is correct
3 Correct 26 ms 3320 KB Output is correct
4 Correct 29 ms 4472 KB Output is correct
5 Correct 37 ms 5724 KB Output is correct
6 Correct 24 ms 3320 KB Output is correct
7 Correct 7 ms 1024 KB Output is correct
8 Correct 24 ms 3576 KB Output is correct
9 Correct 59 ms 8796 KB Output is correct
10 Correct 34 ms 4984 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 3 ms 376 KB Output is correct
14 Correct 3 ms 376 KB Output is correct
15 Correct 3 ms 376 KB Output is correct
16 Correct 3 ms 372 KB Output is correct
17 Correct 3 ms 376 KB Output is correct
18 Correct 3 ms 376 KB Output is correct
19 Correct 3 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 3 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 3 ms 376 KB Output is correct
24 Correct 3 ms 380 KB Output is correct
25 Correct 3 ms 376 KB Output is correct
26 Correct 23 ms 2680 KB Output is correct
27 Correct 48 ms 7644 KB Output is correct
28 Correct 75 ms 8696 KB Output is correct
29 Correct 268 ms 8008 KB Output is correct
30 Correct 299 ms 8840 KB Output is correct
31 Correct 47 ms 7288 KB Output is correct
32 Correct 3 ms 376 KB Output is correct
33 Correct 50 ms 3960 KB Output is correct
34 Correct 68 ms 8244 KB Output is correct
35 Correct 12 ms 1016 KB Output is correct
36 Correct 44 ms 5112 KB Output is correct
37 Correct 65 ms 6264 KB Output is correct
38 Correct 73 ms 8696 KB Output is correct
39 Correct 20 ms 3292 KB Output is correct
40 Correct 4 ms 620 KB Output is correct
41 Correct 228 ms 8184 KB Output is correct
42 Correct 83 ms 9208 KB Output is correct
43 Correct 133 ms 8184 KB Output is correct
44 Correct 76 ms 8952 KB Output is correct
45 Correct 64 ms 9464 KB Output is correct
46 Correct 254 ms 8700 KB Output is correct
47 Correct 57 ms 8056 KB Output is correct
48 Correct 107 ms 8568 KB Output is correct
49 Correct 71 ms 7416 KB Output is correct
50 Correct 1142 ms 8696 KB Output is correct
51 Correct 1239 ms 9492 KB Output is correct
52 Correct 1131 ms 8824 KB Output is correct
53 Correct 1209 ms 9464 KB Output is correct
54 Correct 1112 ms 8700 KB Output is correct
55 Correct 1252 ms 9720 KB Output is correct
56 Correct 1087 ms 8440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 41 ms 5752 KB Output is correct
10 Correct 12 ms 1912 KB Output is correct
11 Correct 26 ms 3320 KB Output is correct
12 Correct 29 ms 4472 KB Output is correct
13 Correct 37 ms 5724 KB Output is correct
14 Correct 24 ms 3320 KB Output is correct
15 Correct 7 ms 1024 KB Output is correct
16 Correct 24 ms 3576 KB Output is correct
17 Correct 59 ms 8796 KB Output is correct
18 Correct 34 ms 4984 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 3 ms 376 KB Output is correct
22 Correct 3 ms 376 KB Output is correct
23 Correct 3 ms 376 KB Output is correct
24 Correct 3 ms 372 KB Output is correct
25 Correct 3 ms 376 KB Output is correct
26 Correct 3 ms 376 KB Output is correct
27 Correct 3 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 3 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 3 ms 376 KB Output is correct
32 Correct 3 ms 380 KB Output is correct
33 Correct 3 ms 376 KB Output is correct
34 Correct 23 ms 2680 KB Output is correct
35 Correct 48 ms 7644 KB Output is correct
36 Correct 75 ms 8696 KB Output is correct
37 Correct 268 ms 8008 KB Output is correct
38 Correct 299 ms 8840 KB Output is correct
39 Correct 47 ms 7288 KB Output is correct
40 Correct 3 ms 376 KB Output is correct
41 Correct 50 ms 3960 KB Output is correct
42 Correct 68 ms 8244 KB Output is correct
43 Correct 12 ms 1016 KB Output is correct
44 Correct 44 ms 5112 KB Output is correct
45 Correct 65 ms 6264 KB Output is correct
46 Correct 73 ms 8696 KB Output is correct
47 Correct 20 ms 3292 KB Output is correct
48 Correct 4 ms 620 KB Output is correct
49 Correct 228 ms 8184 KB Output is correct
50 Correct 83 ms 9208 KB Output is correct
51 Correct 133 ms 8184 KB Output is correct
52 Correct 76 ms 8952 KB Output is correct
53 Correct 64 ms 9464 KB Output is correct
54 Correct 254 ms 8700 KB Output is correct
55 Correct 57 ms 8056 KB Output is correct
56 Correct 107 ms 8568 KB Output is correct
57 Correct 71 ms 7416 KB Output is correct
58 Correct 1142 ms 8696 KB Output is correct
59 Correct 1239 ms 9492 KB Output is correct
60 Correct 1131 ms 8824 KB Output is correct
61 Correct 1209 ms 9464 KB Output is correct
62 Correct 1112 ms 8700 KB Output is correct
63 Correct 1252 ms 9720 KB Output is correct
64 Correct 1087 ms 8440 KB Output is correct
65 Correct 2 ms 376 KB Output is correct
66 Correct 2 ms 248 KB Output is correct
67 Correct 1173 ms 9116 KB Output is correct
68 Correct 1180 ms 9208 KB Output is correct
69 Correct 1014 ms 7988 KB Output is correct
70 Correct 1124 ms 8868 KB Output is correct
71 Correct 1109 ms 8696 KB Output is correct
72 Correct 1091 ms 8696 KB Output is correct
73 Correct 1073 ms 8440 KB Output is correct
74 Correct 1162 ms 9080 KB Output is correct
75 Correct 1097 ms 8696 KB Output is correct
76 Correct 1183 ms 9208 KB Output is correct
77 Correct 193 ms 9592 KB Output is correct
78 Correct 77 ms 8876 KB Output is correct
79 Correct 135 ms 8312 KB Output is correct
80 Correct 141 ms 8696 KB Output is correct
81 Correct 133 ms 8056 KB Output is correct
82 Correct 117 ms 9208 KB Output is correct
83 Correct 88 ms 8440 KB Output is correct
84 Correct 705 ms 9464 KB Output is correct
85 Correct 1400 ms 9720 KB Output is correct
86 Correct 3 ms 376 KB Output is correct
87 Correct 2 ms 376 KB Output is correct
88 Correct 1247 ms 9720 KB Output is correct
89 Correct 233 ms 2168 KB Output is correct
90 Correct 2 ms 508 KB Output is correct