Submission #987476

#TimeUsernameProblemLanguageResultExecution timeMemory
987476Essa2006Fish (IOI08_fish)C++14
13 / 100
1642 ms63952 KiB
// C++ includes used for precompiling -*- C++ -*-

// Copyright (C) 2003-2015 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.

// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
// <http://www.gnu.org/licenses/>.

/** @file stdc++.h
 *  This is an implementation file for a precompiled header.
 */

// 17.4.1.2 Headers

// C
#ifndef _GLIBCXX_NO_ASSERT
#include <cassert>
#endif
#include <cctype>
#include <cerrno>
#include <cfloat>
#include <ciso646>
#include <climits>
#include <clocale>
#include <cmath>
#include <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>

#if __cplusplus >= 201103L
#include <ccomplex>
#include <cfenv>
#include <cinttypes>
#include <cstdbool>
#include <cstdint>
#include <ctgmath>
#include <cwchar>
#include <cwctype>
#endif

// C++
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>

#if __cplusplus >= 201103L
#include <array>
#include <atomic>
#include <chrono>
#include <condition_variable>
#include <forward_list>
#include <future>
#include <initializer_list>
#include <mutex>
#include <random>
#include <ratio>
#include <regex>
#include <scoped_allocator>
#include <system_error>
#include <thread>
#include <tuple>
#include <typeindex>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#endif
//#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define endl '\n'
#define FF first
#define SS second
#define all(a) a.begin(), a.end()

const int N = 1 << 21;
int n, o, mod;

vector<int> S(2 * N, 1);

int add(int a, int b) {
    return (a + b) % mod;
}

int mul(int a, int b) {
    a %= mod, b %= mod;
    return (ll)a * b % mod;
}

void update(int id, int c) {
    id += N;
    S[id] += c;
    while (id /= 2) {
        S[id] = mul(S[id * 2], S[id * 2 + 1]);
    }
}

int get(int id, int u, int v, int l, int r) {
    if (l > v || r < u) {
        return 1;
    }

    if (l >= u && r <= v) {
        return S[id];
    }

    int md = (l + r) / 2;
    return mul(get(id * 2, u, v, l, md), get(id * 2 + 1, u, v, md + 1, r));
}

int main() {
    ios_base::sync_with_stdio(0);cin.tie(0);

    cin >> n >> o >> mod;

    vector<array<int, 2>> A(n);
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < 2; j++) {
            cin >> A[i][j];
        }
    }


    sort(all(A));

    map<int, int> mp;
    vector<bool> Done(n + 1);
    int cnt = 0;
    for (int i = n - 1; i >= 0; i--) {
        if (!Done[A[i][1]]) {
            Done[A[i][1]] = 1;
            mp[A[i][1]] = n - cnt++;
        }
        A[i][1] = mp[A[i][1]];
    }

    vector<int> Cut(n + 1, -1);
    int j = -1;
    map<int, vector<int>> Ind;
    for (int i = 0; i < n; i++) {
        Ind[A[i][1]].push_back(i);
        while (j + 1 < i && 2 * A[j + 1][0] <= A[i][0]) {
            j++;
        }
        Cut[A[i][1]] = j;
    }

    int r = -1;
    while (r + 1 < n && ((2 * A[r + 1][0]) <= A.back()[0])) {
        r++;
        update(A[r][1], 1);
    }


    vector<int> Last(n + 1, n);
    int ans = 0;
    vector<int> Imp;
    for (int i = n - 1; i >= 0; i--) {
        int k = A[i][1];
        if (Last[k] == n) {
            Last[k] = i;
            while (r >= 0 && ((2 * A[r][0]) > A[i][0])) {
                update(A[r][1], -1);
                r--;
            }

            for (int f = S[k + N]; f > 0; f--) {
                int l = 0, r = Imp.size() - 1, last_zero = n;
                while (l <= r) {
                    int md = (l + r) / 2;
                    int cut = Cut[Imp[md]];
                    int num = upper_bound(all(Ind[k]), cut) - Ind[k].begin();
                    if (num > (f - 1)) {
                        last_zero = Imp[md], l = md + 1;
                    }
                    else {
                        r = md - 1;
                    }
                }
                int c = S[k + N];
                update(k, -(c - 1));

                ans = add(ans, get(1, 0, last_zero - 1, 0, N - 1));

                update(k, (c - 1));
                //cout << i << ' ' << f << ' ' << last_zero << endl;
            }
            Imp.push_back(k);
        }
    }

    cout << ans;
}
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