oj.uz

Submission #155514

# Submission time Handle Problem Language Result Execution time Memory
155514 2019-09-28T20:38:46 Z Dasha_Gnedko Chessboard (IZhO18_chessboard) C++14
70 / 100
 1647 ms 2560 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)
{
    if (x1 > x2 || y1 > y2) return 0;

    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;
    }

//    cout << "! " << gx1 << " " << gx2 << "     " << gy1 << " " << gy2 << endl;
    if (gx1 > gx2 || gy1 > gy2)
    {

        if (gx1 > gx2 && gy1 > gy2)
        {
            pair < int, pair <ll, ll> > p;

            ll gx = x1 / r, gy = y1 / r;
            if (x1 % r) gx++;
            if (y1 % 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 - x1 + 1;
            ll by = 1ll * gy * r - y1 + 1;

            p.F = f;
            p.S.F = bx;
            p.S.S = by;
//            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;

        }

        if (gx1 <= gx2)
        {
            pair < int, pair <ll, ll> > p = get(r, x1, y1, fl);

            if (y1 + p.S.S <= y2)
            {
                return solve(r, x1, y1, x2, y1 + p.S.S - 1, fl) + solve(r, x1, y1 + p.S.S, x2, y2, fl);
            }

            ll S = p.S.F * (y2 - y1 + 1);
            ll k = (gx2 - gx1 + 1) / 2;
            S += r * r * k;

            pair < int, pair <ll, ll> > p1 = get(r, gx2 * r + 1, y1, fl);
            if (p1.F == p.F) S += (x2 - gx2 * r) * (y2 - y1 + 1);

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

        }

        if (gy1 <= gy2)
        {
            pair < int, pair <ll, ll> > p = get(r, x1, y1, fl);

            if (x1 + p.S.F <= x2)
            {
                return solve(r, x1, y1, x1 + p.S.F - 1, y2, fl) + solve(r, x1 + p.S.F, y1, x2, y2, fl);
            }

            ll S = (x2 - x1 + 1) * p.S.S;
            ll k = (gy2 - gy1 + 1) / 2;
            S += r * r * k;

            pair < int, pair <ll, ll> > p1 = get(r, x1, gy2 * r + 1, fl);
            if (p1.F == p.F) S += (y2 - gy2 * r) * (x2 - x1 + 1);

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

        }


        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;

    ll gx = stx / r, gy = sty / r;
    if (stx % r) gx++;
    if (sty % 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 - stx + 1;
    ll by = 1ll * gy * r - sty + 1;

    p.F = f;
    p.S.F = bx;
    p.S.S = by;

    ll add = solve(r, x1, y1, stx - 1, y2, fl);
    add += solve(r, ex + 1, y1, x2, y2, fl);
    add += solve(r, stx, y1, ex, sty - 1, fl);
    add += solve(r, stx, ey + 1, ex, y2, fl);

//    cout << stx << " "  << ex << "     " << sty << " " << ey << endl;

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

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

}


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);

    ll n;
    cin >> n >> m;

    for(int i = 0; i < m; i++)
    {
        cin >> l1[i] >> r1[i] >> l2[i] >> r2[i];
//        cout << solve(4, 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)
    {
        if (to == kopn) continue;

        n = kopn;
        ll 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:333:26: 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++)
                        ~~^~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 888 KB Output is correct
2 Correct 3 ms 760 KB Output is correct
3 Correct 3 ms 760 KB Output is correct
4 Correct 3 ms 888 KB Output is correct
5 Correct 3 ms 888 KB Output is correct
6 Correct 5 ms 760 KB Output is correct
7 Correct 3 ms 888 KB Output is correct
8 Correct 4 ms 888 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 1912 KB Output is correct
2 Correct 12 ms 1144 KB Output is correct
3 Correct 26 ms 1400 KB Output is correct
4 Correct 28 ms 1532 KB Output is correct
5 Correct 35 ms 1832 KB Output is correct
6 Correct 23 ms 1388 KB Output is correct
7 Correct 7 ms 888 KB Output is correct
8 Correct 23 ms 1400 KB Output is correct
9 Correct 55 ms 2304 KB Output is correct
10 Correct 33 ms 1580 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 888 KB Output is correct
2 Correct 3 ms 888 KB Output is correct
3 Correct 3 ms 888 KB Output is correct
4 Correct 4 ms 888 KB Output is correct
5 Correct 3 ms 888 KB Output is correct
6 Correct 3 ms 888 KB Output is correct
7 Correct 4 ms 888 KB Output is correct
8 Correct 4 ms 888 KB Output is correct
9 Correct 3 ms 888 KB Output is correct
10 Correct 3 ms 892 KB Output is correct
11 Correct 3 ms 888 KB Output is correct
12 Correct 3 ms 888 KB Output is correct
13 Correct 4 ms 888 KB Output is correct
14 Correct 4 ms 888 KB Output is correct
15 Correct 4 ms 888 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 888 KB Output is correct
2 Correct 3 ms 888 KB Output is correct
3 Correct 3 ms 888 KB Output is correct
4 Correct 4 ms 888 KB Output is correct
5 Correct 3 ms 888 KB Output is correct
6 Correct 3 ms 888 KB Output is correct
7 Correct 4 ms 888 KB Output is correct
8 Correct 4 ms 888 KB Output is correct
9 Correct 3 ms 888 KB Output is correct
10 Correct 3 ms 892 KB Output is correct
11 Correct 3 ms 888 KB Output is correct
12 Correct 3 ms 888 KB Output is correct
13 Correct 4 ms 888 KB Output is correct
14 Correct 4 ms 888 KB Output is correct
15 Correct 4 ms 888 KB Output is correct
16 Correct 23 ms 1272 KB Output is correct
17 Correct 45 ms 2168 KB Output is correct
18 Correct 77 ms 2480 KB Output is correct
19 Correct 328 ms 2284 KB Output is correct
20 Correct 366 ms 2552 KB Output is correct
21 Correct 43 ms 2168 KB Output is correct
22 Correct 4 ms 888 KB Output is correct
23 Correct 55 ms 1528 KB Output is correct
24 Correct 71 ms 2268 KB Output is correct
25 Correct 13 ms 1032 KB Output is correct
26 Correct 45 ms 1784 KB Output is correct
27 Correct 70 ms 1888 KB Output is correct
28 Correct 74 ms 2428 KB Output is correct
29 Correct 20 ms 1400 KB Output is correct
30 Correct 5 ms 888 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 1912 KB Output is correct
2 Correct 12 ms 1144 KB Output is correct
3 Correct 26 ms 1400 KB Output is correct
4 Correct 28 ms 1532 KB Output is correct
5 Correct 35 ms 1832 KB Output is correct
6 Correct 23 ms 1388 KB Output is correct
7 Correct 7 ms 888 KB Output is correct
8 Correct 23 ms 1400 KB Output is correct
9 Correct 55 ms 2304 KB Output is correct
10 Correct 33 ms 1580 KB Output is correct
11 Correct 3 ms 888 KB Output is correct
12 Correct 3 ms 888 KB Output is correct
13 Correct 3 ms 888 KB Output is correct
14 Correct 4 ms 888 KB Output is correct
15 Correct 3 ms 888 KB Output is correct
16 Correct 3 ms 888 KB Output is correct
17 Correct 4 ms 888 KB Output is correct
18 Correct 4 ms 888 KB Output is correct
19 Correct 3 ms 888 KB Output is correct
20 Correct 3 ms 892 KB Output is correct
21 Correct 3 ms 888 KB Output is correct
22 Correct 3 ms 888 KB Output is correct
23 Correct 4 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 23 ms 1272 KB Output is correct
27 Correct 45 ms 2168 KB Output is correct
28 Correct 77 ms 2480 KB Output is correct
29 Correct 328 ms 2284 KB Output is correct
30 Correct 366 ms 2552 KB Output is correct
31 Correct 43 ms 2168 KB Output is correct
32 Correct 4 ms 888 KB Output is correct
33 Correct 55 ms 1528 KB Output is correct
34 Correct 71 ms 2268 KB Output is correct
35 Correct 13 ms 1032 KB Output is correct
36 Correct 45 ms 1784 KB Output is correct
37 Correct 70 ms 1888 KB Output is correct
38 Correct 74 ms 2428 KB Output is correct
39 Correct 20 ms 1400 KB Output is correct
40 Correct 5 ms 888 KB Output is correct
41 Correct 273 ms 2168 KB Output is correct
42 Correct 79 ms 2296 KB Output is correct
43 Correct 155 ms 2200 KB Output is correct
44 Correct 79 ms 2296 KB Output is correct
45 Correct 59 ms 2424 KB Output is correct
46 Correct 306 ms 2296 KB Output is correct
47 Correct 51 ms 2168 KB Output is correct
48 Correct 118 ms 2268 KB Output is correct
49 Correct 74 ms 2168 KB Output is correct
50 Correct 1464 ms 2316 KB Output is correct
51 Correct 1550 ms 2552 KB Output is correct
52 Correct 1459 ms 2424 KB Output is correct
53 Correct 1547 ms 2424 KB Output is correct
54 Correct 1452 ms 2300 KB Output is correct
55 Correct 1647 ms 2560 KB Output is correct
56 Correct 1416 ms 2256 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 888 KB Output is correct
2 Correct 3 ms 760 KB Output is correct
3 Correct 3 ms 760 KB Output is correct
4 Correct 3 ms 888 KB Output is correct
5 Correct 3 ms 888 KB Output is correct
6 Correct 5 ms 760 KB Output is correct
7 Correct 3 ms 888 KB Output is correct
8 Correct 4 ms 888 KB Output is correct
9 Correct 40 ms 1912 KB Output is correct
10 Correct 12 ms 1144 KB Output is correct
11 Correct 26 ms 1400 KB Output is correct
12 Correct 28 ms 1532 KB Output is correct
13 Correct 35 ms 1832 KB Output is correct
14 Correct 23 ms 1388 KB Output is correct
15 Correct 7 ms 888 KB Output is correct
16 Correct 23 ms 1400 KB Output is correct
17 Correct 55 ms 2304 KB Output is correct
18 Correct 33 ms 1580 KB Output is correct
19 Correct 3 ms 888 KB Output is correct
20 Correct 3 ms 888 KB Output is correct
21 Correct 3 ms 888 KB Output is correct
22 Correct 4 ms 888 KB Output is correct
23 Correct 3 ms 888 KB Output is correct
24 Correct 3 ms 888 KB Output is correct
25 Correct 4 ms 888 KB Output is correct
26 Correct 4 ms 888 KB Output is correct
27 Correct 3 ms 888 KB Output is correct
28 Correct 3 ms 892 KB Output is correct
29 Correct 3 ms 888 KB Output is correct
30 Correct 3 ms 888 KB Output is correct
31 Correct 4 ms 888 KB Output is correct
32 Correct 4 ms 888 KB Output is correct
33 Correct 4 ms 888 KB Output is correct
34 Correct 23 ms 1272 KB Output is correct
35 Correct 45 ms 2168 KB Output is correct
36 Correct 77 ms 2480 KB Output is correct
37 Correct 328 ms 2284 KB Output is correct
38 Correct 366 ms 2552 KB Output is correct
39 Correct 43 ms 2168 KB Output is correct
40 Correct 4 ms 888 KB Output is correct
41 Correct 55 ms 1528 KB Output is correct
42 Correct 71 ms 2268 KB Output is correct
43 Correct 13 ms 1032 KB Output is correct
44 Correct 45 ms 1784 KB Output is correct
45 Correct 70 ms 1888 KB Output is correct
46 Correct 74 ms 2428 KB Output is correct
47 Correct 20 ms 1400 KB Output is correct
48 Correct 5 ms 888 KB Output is correct
49 Correct 273 ms 2168 KB Output is correct
50 Correct 79 ms 2296 KB Output is correct
51 Correct 155 ms 2200 KB Output is correct
52 Correct 79 ms 2296 KB Output is correct
53 Correct 59 ms 2424 KB Output is correct
54 Correct 306 ms 2296 KB Output is correct
55 Correct 51 ms 2168 KB Output is correct
56 Correct 118 ms 2268 KB Output is correct
57 Correct 74 ms 2168 KB Output is correct
58 Correct 1464 ms 2316 KB Output is correct
59 Correct 1550 ms 2552 KB Output is correct
60 Correct 1459 ms 2424 KB Output is correct
61 Correct 1547 ms 2424 KB Output is correct
62 Correct 1452 ms 2300 KB Output is correct
63 Correct 1647 ms 2560 KB Output is correct
64 Correct 1416 ms 2256 KB Output is correct
65 Correct 3 ms 888 KB Output is correct
66 Incorrect 3 ms 888 KB Output isn't correct
67 Halted 0 ms 0 KB -