oj.uz

Submission #155236

# Submission time Handle Problem Language Result Execution time Memory
155236 2019-09-27T08:10:07 Z Dasha_Gnedko Chessboard (IZhO18_chessboard) C++14
39 / 100
 503 ms 3448 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;

}

ll get_ans(ll r, int n)
{
    ll S = 1ll * n * n;
//    cout << S << endl;

    n /= r;

    ll kx = 1ll * (n + 1) / 2;
//    cerr << kx << " " << kx * kx << endl;
    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);
    }

//    cout << v1 << " " << v2 <<

//    cout << r << " " << v1 << " " << k1 << " " << v2 << " " << k2 << endl;

    return min(v1 + k1, v2 + k2);

}

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];
        }
    }

    if (pr[n] == 1)
    {
        cout << get_ans(1, n);
        return 0;
    }

    int ch = n, kopn = n;

    while (ch > 1)
    {
//        cerr << ch << endl;
        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;
//        cout << get_ans(to, kopn) << endl;
        ans = min(ans, get_ans(to, kopn));
    }

    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:252:26: 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 760 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 760 KB Output is correct
5 Correct 3 ms 888 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 888 KB Output is correct

Subtask #2
0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 32 ms 3448 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 888 KB Output is correct
2 Correct 3 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 4 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 4 ms 888 KB Output is correct
9 Correct 3 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 3 ms 888 KB Output is correct
13 Correct 6 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 4 ms 888 KB Output is correct
2 Correct 3 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 4 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 4 ms 888 KB Output is correct
9 Correct 3 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 3 ms 888 KB Output is correct
13 Correct 6 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 26 ms 1272 KB Output is correct
17 Correct 44 ms 2296 KB Output is correct
18 Correct 86 ms 2416 KB Output is correct
19 Correct 451 ms 2276 KB Output is correct
20 Correct 503 ms 2552 KB Output is correct
21 Correct 42 ms 2168 KB Output is correct
22 Correct 4 ms 888 KB Output is correct
23 Correct 68 ms 1528 KB Output is correct
24 Correct 79 ms 2424 KB Output is correct
25 Correct 16 ms 1016 KB Output is correct
26 Correct 50 ms 1912 KB Output is correct
27 Correct 84 ms 1916 KB Output is correct
28 Correct 83 ms 2396 KB Output is correct
29 Correct 20 ms 1400 KB Output is correct
30 Correct 6 ms 888 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Runtime error 32 ms 3448 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 760 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 760 KB Output is correct
5 Correct 3 ms 888 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 888 KB Output is correct
9 Runtime error 32 ms 3448 KB Execution killed with signal 11 (could be triggered by violating memory limits)
10 Halted 0 ms 0 KB -