답안 #155279

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
155279 2019-09-27T12:54:16 Z Dasha_Gnedko Chessboard (IZhO18_chessboard) C++14
47 / 100
500 ms 2616 KB
#include <bits/stdc++.h>

//#include <ext/pb_ds/detail/standard_policies.hpp>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>

//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4")

#define ll long long
#define ld long double
#define pb push_back
#define F first
#define S second
#define endl '\n'
//#define int long long

using namespace std;

//using namespace __gnu_pbds;
//template <typename T> using ordered_set = tree <T, null_type, less < T >, rb_tree_tag, tree_order_statistics_node_update>;

const int N = 1e5 + 100;
const int M = 21890;
const ll mod = 1e9 + 7;
const ll MOD = 998244353;
const int P = 1336;
const ld eps = 0.000000001;
const int inf = 1e9 + 7;
const ll inff = 1e18 + 7;

mt19937 gen(chrono::high_resolution_clock::now().time_since_epoch().count());

int l1[N], r1[N], l2[N], r2[N];
int m;
int lp[N];
vector <int> pr;
vector < pair <int, int> > ve;
vector <int> a;

void DFS(int i, ll ch)
{
//    cerr << i << " " << ch << endl;
    if (i == ve.size())
    {
        a.pb(ch);
        return;
    }
    for(int j = 0; j <= ve[i].S; j++)
    {
        if (j == 0) DFS(i + 1, ch);
        else
        {
            ch *= ve[i].F;
            DFS(i + 1, ch);
        }
    }
}

pair <int, pair <ll, ll> > get(ll r, ll x, ll y, int fl)
{
    ll gx = x / r, gy = y / r;
    if (x % r) gx++;
    if (y % r) gy++;

    bool f;

    if (fl == 0)
    {
        if (gx % 2)
        {
            if (gy % 2) f = 0;
            else f = 1;
        }
        else if (gy % 2) f = 1;
        else f = 0;
    }
    else
    {
        if (gx % 2)
        {
            if (gy % 2) f = 1;
            else f = 0;
        }
        else if (gy % 2) f = 0;
        else f = 1;
    }

    ll bx = 1ll * gx * r - x + 1;
    ll by = 1ll * gy * r - y + 1;

    return {f, {bx, by}};

}

ll solve(ll r, ll x1, ll y1, ll x2, ll y2, int fl)
{
    ll gx1 = x1 / r + 1, gx2 = x2 / r;
    if (x1 % r != 1) gx1++;
    if (x1 % r == 0) gx1--;

    ll gy1 = y1 / r + 1, gy2 = y2 / r;
    if (y1 % r != 1) gy1++;
    if (y1 % r == 0) gy1--;

    if (r == 1)
    {
        gx1 = x1;
        gx2 = x2;
        gy1 = y1;
        gy2 = y2;
    }


    if (gx1 > gx2 || gy1 > gy2)
    {

//    cout << "! " << gx1 << " " << gx2 << "     " << gy1 << " " << gy2 << endl;
        if (gx1 > gx2 && gy1 > gy2)
        {
            pair < int, pair <ll, ll> > p = get(r, x1, y1, fl);
//            cout << x1 << " " << y1 << " " << p.S.F << " " << p.S.S << endl;
            if (x1 + p.S.F > x2 && y1 + p.S.S > y2)
            {
//                cout << x1 << " " << y1 << " " << p.F << endl;
                if (p.F == 0) return 1ll * (x2 - x1 + 1) * (y2 - y1 + 1);
                else return 0;
            }

            if (x1 + p.S.F > x2)
            {
                ll S = 1ll * (x2 - x1 + 1) * p.S.S;
                if (p.F == 0) return S;
                else return 1ll * (x2 - x1 + 1) * (y2 - y1 + 1) - S;
            }

            if (y1 + p.S.S > y2)
            {
                ll S = 1ll * (y2 - y1 + 1) * p.S.F;
                if (p.F == 0) return S;
                else return 1ll * (x2 - x1 + 1) * (y2 - y1 + 1) - S;
            }

            ll v1 = 1ll * p.S.F * p.S.S + 1ll * (x2 - x1 + 1 - p.S.F) * (y2 - y1 + 1 - p.S.S);
            ll v2 = 1ll * (x2 - x1 + 1) * (y2 - y1 + 1) - v1;

//            cout << "!!! " << v1 << " " << v2 << endl;

            if (p.F == 0) return v1;
            else return v2;

        }

        return 0;


    }

    ll stx = 1ll * gx1 * r - r + 1;
    ll ex = 1ll * gx2 * r;

    ll sty = 1ll * gy1 * r - r + 1;
    ll ey = 1ll * gy2 * r;

    ll kolx = (gx2 - gx1 + 1 + 1) / 2;
    ll koly = (gy2 - gy1 + 1 + 1) / 2;

    ll S = 1ll * kolx * koly * r * r;

    kolx = (gx2 - gx1 + 1) / 2;
    koly = (gy2 - gy1 + 1) / 2;

    S += 1ll * kolx * koly * r * r;

    pair < int, pair <ll, ll> > p = get(r, stx, sty, fl);

//    cout << p.F << " " << S << endl;

    if (p.F == 0) return S;
    else return 1ll * (ex - stx + 1) * (ey - sty + 1) - S;

}


int32_t main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    srand(time(0));

    //freopen("input.txt", "r", stdin);
    //freopen("output.txt", "w", stdout);

    int n;
    cin >> n >> m;

    for(int i = 0; i < m; i++)
    {
        cin >> l1[i] >> r1[i] >> l2[i] >> r2[i];
//        cout << solve(2, l1[i], r1[i], l2[i], r2[i], 1) << endl;
    }

//    cout << get_ans(2, n);
//
//    return 0;

    for(int i = 2; i < N; i++)
    {
        if (lp[i] == 0)
        {
            lp[i] = i;
            pr.pb(i);
        }
        for(int j = 0; j < pr.size() && pr[j] * i < N && pr[j] <= lp[i]; j++)
        {
            lp[pr[j] * i] = pr[j];
        }
    }

    int ch = n, kopn = n;

    while (ch > 1)
    {
//        cerr << ch << endl;3
        int d = lp[ch];
        if (ve.size() && ve.back().F == d) ve.back().S++;
        else ve.pb({d, 1});
        ch /= d;
    }

//    return 0;

    DFS(0, 1);

    ll ans = inff;

    for(auto to: a)
    {
//        cout << to << endl;
        if (to == kopn) continue;

        n = kopn;
        int r = to;

        ll S = 1ll * n * n;
        n /= r;

        ll kx = 1ll * (n + 1) / 2;
        ll k1 = kx * kx;
        kx = 1ll * n / 2;
        k1 += kx * kx;
        k1 *= r * r;

        ll k2 = S - k1;


        ll v1 = 0, v2 = 0;

        for(int i = 0; i < m; i++)
        {
            ll pl = 1ll * (l2[i] - l1[i] + 1) * (r2[i] - r1[i] + 1);
            ll c1 = solve(r, l1[i], r1[i], l2[i], r2[i], 1);
            ll c2 = solve(r, l1[i], r1[i], l2[i], r2[i], 0);

//        cout << r << " " << solve(r, l1[i], r1[i], l2[i], r2[i], 1) << endl;
            v1 += c1;
            k1 -= (pl - c1);

            v2 += c2;
            k2 -= (pl - c2);
        }

        ans = min(ans, min(v1 + k1, v2 + k2));
    }

    cout << ans;


}

Compilation message

chessboard.cpp: In function 'void DFS(int, long long int)':
chessboard.cpp:44:11: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     if (i == ve.size())
         ~~^~~~~~~~~~~~
chessboard.cpp: In function 'int32_t main()':
chessboard.cpp:215:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int j = 0; j < pr.size() && pr[j] * i < N && pr[j] <= lp[i]; j++)
                        ~~^~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 760 KB Output is correct
2 Correct 3 ms 888 KB Output is correct
3 Correct 3 ms 888 KB Output is correct
4 Correct 3 ms 888 KB Output is correct
5 Correct 3 ms 764 KB Output is correct
6 Correct 3 ms 888 KB Output is correct
7 Correct 3 ms 760 KB Output is correct
8 Correct 3 ms 760 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 38 ms 1912 KB Output is correct
2 Correct 13 ms 1272 KB Output is correct
3 Correct 27 ms 1784 KB Output is correct
4 Correct 30 ms 1912 KB Output is correct
5 Correct 34 ms 1912 KB Output is correct
6 Correct 23 ms 1528 KB Output is correct
7 Correct 7 ms 1144 KB Output is correct
8 Correct 24 ms 1528 KB Output is correct
9 Correct 55 ms 2552 KB Output is correct
10 Correct 32 ms 1912 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 888 KB Output is correct
2 Correct 4 ms 888 KB Output is correct
3 Correct 4 ms 888 KB Output is correct
4 Correct 5 ms 888 KB Output is correct
5 Correct 5 ms 888 KB Output is correct
6 Correct 4 ms 888 KB Output is correct
7 Correct 4 ms 888 KB Output is correct
8 Correct 0 ms 888 KB Output is correct
9 Correct 4 ms 888 KB Output is correct
10 Correct 3 ms 888 KB Output is correct
11 Correct 4 ms 888 KB Output is correct
12 Correct 4 ms 888 KB Output is correct
13 Correct 5 ms 888 KB Output is correct
14 Correct 5 ms 888 KB Output is correct
15 Correct 5 ms 888 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 888 KB Output is correct
2 Correct 4 ms 888 KB Output is correct
3 Correct 4 ms 888 KB Output is correct
4 Correct 5 ms 888 KB Output is correct
5 Correct 5 ms 888 KB Output is correct
6 Correct 4 ms 888 KB Output is correct
7 Correct 4 ms 888 KB Output is correct
8 Correct 0 ms 888 KB Output is correct
9 Correct 4 ms 888 KB Output is correct
10 Correct 3 ms 888 KB Output is correct
11 Correct 4 ms 888 KB Output is correct
12 Correct 4 ms 888 KB Output is correct
13 Correct 5 ms 888 KB Output is correct
14 Correct 5 ms 888 KB Output is correct
15 Correct 5 ms 888 KB Output is correct
16 Correct 28 ms 1464 KB Output is correct
17 Correct 46 ms 2380 KB Output is correct
18 Correct 84 ms 2616 KB Output is correct
19 Correct 457 ms 2396 KB Output is correct
20 Correct 500 ms 2572 KB Output is correct
21 Correct 42 ms 2168 KB Output is correct
22 Correct 5 ms 888 KB Output is correct
23 Correct 69 ms 1656 KB Output is correct
24 Correct 78 ms 2400 KB Output is correct
25 Correct 17 ms 1144 KB Output is correct
26 Correct 52 ms 1984 KB Output is correct
27 Correct 84 ms 2088 KB Output is correct
28 Correct 87 ms 2552 KB Output is correct
29 Correct 20 ms 1528 KB Output is correct
30 Correct 6 ms 1016 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 38 ms 1912 KB Output is correct
2 Correct 13 ms 1272 KB Output is correct
3 Correct 27 ms 1784 KB Output is correct
4 Correct 30 ms 1912 KB Output is correct
5 Correct 34 ms 1912 KB Output is correct
6 Correct 23 ms 1528 KB Output is correct
7 Correct 7 ms 1144 KB Output is correct
8 Correct 24 ms 1528 KB Output is correct
9 Correct 55 ms 2552 KB Output is correct
10 Correct 32 ms 1912 KB Output is correct
11 Correct 4 ms 888 KB Output is correct
12 Correct 4 ms 888 KB Output is correct
13 Correct 4 ms 888 KB Output is correct
14 Correct 5 ms 888 KB Output is correct
15 Correct 5 ms 888 KB Output is correct
16 Correct 4 ms 888 KB Output is correct
17 Correct 4 ms 888 KB Output is correct
18 Correct 0 ms 888 KB Output is correct
19 Correct 4 ms 888 KB Output is correct
20 Correct 3 ms 888 KB Output is correct
21 Correct 4 ms 888 KB Output is correct
22 Correct 4 ms 888 KB Output is correct
23 Correct 5 ms 888 KB Output is correct
24 Correct 5 ms 888 KB Output is correct
25 Correct 5 ms 888 KB Output is correct
26 Correct 28 ms 1464 KB Output is correct
27 Correct 46 ms 2380 KB Output is correct
28 Correct 84 ms 2616 KB Output is correct
29 Correct 457 ms 2396 KB Output is correct
30 Correct 500 ms 2572 KB Output is correct
31 Correct 42 ms 2168 KB Output is correct
32 Correct 5 ms 888 KB Output is correct
33 Correct 69 ms 1656 KB Output is correct
34 Correct 78 ms 2400 KB Output is correct
35 Correct 17 ms 1144 KB Output is correct
36 Correct 52 ms 1984 KB Output is correct
37 Correct 84 ms 2088 KB Output is correct
38 Correct 87 ms 2552 KB Output is correct
39 Correct 20 ms 1528 KB Output is correct
40 Correct 6 ms 1016 KB Output is correct
41 Incorrect 377 ms 2556 KB Output isn't correct
42 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 760 KB Output is correct
2 Correct 3 ms 888 KB Output is correct
3 Correct 3 ms 888 KB Output is correct
4 Correct 3 ms 888 KB Output is correct
5 Correct 3 ms 764 KB Output is correct
6 Correct 3 ms 888 KB Output is correct
7 Correct 3 ms 760 KB Output is correct
8 Correct 3 ms 760 KB Output is correct
9 Correct 38 ms 1912 KB Output is correct
10 Correct 13 ms 1272 KB Output is correct
11 Correct 27 ms 1784 KB Output is correct
12 Correct 30 ms 1912 KB Output is correct
13 Correct 34 ms 1912 KB Output is correct
14 Correct 23 ms 1528 KB Output is correct
15 Correct 7 ms 1144 KB Output is correct
16 Correct 24 ms 1528 KB Output is correct
17 Correct 55 ms 2552 KB Output is correct
18 Correct 32 ms 1912 KB Output is correct
19 Correct 4 ms 888 KB Output is correct
20 Correct 4 ms 888 KB Output is correct
21 Correct 4 ms 888 KB Output is correct
22 Correct 5 ms 888 KB Output is correct
23 Correct 5 ms 888 KB Output is correct
24 Correct 4 ms 888 KB Output is correct
25 Correct 4 ms 888 KB Output is correct
26 Correct 0 ms 888 KB Output is correct
27 Correct 4 ms 888 KB Output is correct
28 Correct 3 ms 888 KB Output is correct
29 Correct 4 ms 888 KB Output is correct
30 Correct 4 ms 888 KB Output is correct
31 Correct 5 ms 888 KB Output is correct
32 Correct 5 ms 888 KB Output is correct
33 Correct 5 ms 888 KB Output is correct
34 Correct 28 ms 1464 KB Output is correct
35 Correct 46 ms 2380 KB Output is correct
36 Correct 84 ms 2616 KB Output is correct
37 Correct 457 ms 2396 KB Output is correct
38 Correct 500 ms 2572 KB Output is correct
39 Correct 42 ms 2168 KB Output is correct
40 Correct 5 ms 888 KB Output is correct
41 Correct 69 ms 1656 KB Output is correct
42 Correct 78 ms 2400 KB Output is correct
43 Correct 17 ms 1144 KB Output is correct
44 Correct 52 ms 1984 KB Output is correct
45 Correct 84 ms 2088 KB Output is correct
46 Correct 87 ms 2552 KB Output is correct
47 Correct 20 ms 1528 KB Output is correct
48 Correct 6 ms 1016 KB Output is correct
49 Incorrect 377 ms 2556 KB Output isn't correct
50 Halted 0 ms 0 KB -