結果

問題 No.1354 Sambo's Treasure
ユーザー hitonanodehitonanode
提出日時 2021-05-14 17:05:33
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
TLE  
実行時間 -
コード長 12,244 bytes
コンパイル時間 2,317 ms
コンパイル使用メモリ 170,248 KB
実行使用メモリ 45,312 KB
最終ジャッジ日時 2024-10-01 21:27:12
合計ジャッジ時間 12,286 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
13,632 KB
testcase_01 AC 2 ms
6,816 KB
testcase_02 AC 6 ms
6,820 KB
testcase_03 AC 2 ms
6,816 KB
testcase_04 AC 2 ms
6,816 KB
testcase_05 AC 27 ms
23,876 KB
testcase_06 AC 2 ms
6,816 KB
testcase_07 AC 2 ms
6,816 KB
testcase_08 AC 2 ms
6,820 KB
testcase_09 AC 2 ms
6,820 KB
testcase_10 AC 2 ms
6,816 KB
testcase_11 AC 2 ms
6,820 KB
testcase_12 AC 2 ms
6,820 KB
testcase_13 AC 2 ms
6,820 KB
testcase_14 AC 2 ms
6,820 KB
testcase_15 AC 2 ms
6,816 KB
testcase_16 AC 27 ms
24,000 KB
testcase_17 AC 2 ms
6,820 KB
testcase_18 AC 2 ms
6,816 KB
testcase_19 AC 2 ms
6,820 KB
testcase_20 AC 2 ms
6,816 KB
testcase_21 AC 2 ms
6,816 KB
testcase_22 AC 2 ms
6,816 KB
testcase_23 AC 112 ms
34,732 KB
testcase_24 AC 117 ms
34,600 KB
testcase_25 AC 154 ms
34,604 KB
testcase_26 AC 157 ms
34,612 KB
testcase_27 AC 135 ms
34,816 KB
testcase_28 AC 117 ms
34,684 KB
testcase_29 AC 162 ms
34,732 KB
testcase_30 AC 136 ms
34,732 KB
testcase_31 AC 137 ms
34,732 KB
testcase_32 AC 138 ms
34,732 KB
testcase_33 AC 118 ms
34,812 KB
testcase_34 AC 133 ms
34,812 KB
testcase_35 AC 114 ms
34,756 KB
testcase_36 AC 134 ms
34,608 KB
testcase_37 AC 117 ms
34,732 KB
testcase_38 AC 153 ms
34,812 KB
testcase_39 AC 160 ms
34,864 KB
testcase_40 AC 158 ms
34,764 KB
testcase_41 AC 117 ms
34,812 KB
testcase_42 AC 155 ms
34,608 KB
testcase_43 AC 72 ms
45,180 KB
testcase_44 AC 72 ms
45,180 KB
testcase_45 AC 74 ms
45,220 KB
testcase_46 AC 76 ms
45,220 KB
testcase_47 AC 78 ms
45,100 KB
testcase_48 AC 80 ms
45,228 KB
testcase_49 AC 72 ms
45,184 KB
testcase_50 AC 73 ms
45,232 KB
testcase_51 AC 78 ms
45,104 KB
testcase_52 AC 76 ms
45,236 KB
testcase_53 AC 78 ms
45,104 KB
testcase_54 AC 78 ms
45,104 KB
testcase_55 AC 72 ms
45,312 KB
testcase_56 AC 79 ms
44,976 KB
testcase_57 AC 77 ms
45,228 KB
testcase_58 AC 77 ms
45,104 KB
testcase_59 AC 76 ms
45,220 KB
testcase_60 AC 78 ms
45,100 KB
testcase_61 AC 76 ms
45,096 KB
testcase_62 AC 80 ms
45,232 KB
testcase_63 TLE -
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template <typename T> bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template <typename T> vector<T> sort_unique(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <typename T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <typename T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T, size_t sz> ostream &operator<<(ostream &os, const array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
#if __cplusplus >= 201703L
template <typename... T> istream &operator>>(istream &is, tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &tpl) { std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os; }
#endif
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T, typename TH> ostream &operator<<(ostream &os, const unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <typename TK, typename TV, typename TH> ostream &operator<<(ostream &os, const unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << endl
#else
#define dbg(x) (x)
#endif

template <int mod> struct ModInt {
#if __cplusplus >= 201402L
#define MDCONST constexpr
#else
#define MDCONST
#endif
    using lint = long long;
    MDCONST static int get_mod() { return mod; }
    static int get_primitive_root() {
        static int primitive_root = 0;
        if (!primitive_root) {
            primitive_root = [&]() {
                std::set<int> fac;
                int v = mod - 1;
                for (lint i = 2; i * i <= v; i++)
                    while (v % i == 0) fac.insert(i), v /= i;
                if (v > 1) fac.insert(v);
                for (int g = 1; g < mod; g++) {
                    bool ok = true;
                    for (auto i : fac)
                        if (ModInt(g).pow((mod - 1) / i) == 1) {
                            ok = false;
                            break;
                        }
                    if (ok) return g;
                }
                return -1;
            }();
        }
        return primitive_root;
    }
    int val;
    MDCONST ModInt() : val(0) {}
    MDCONST ModInt &_setval(lint v) { return val = (v >= mod ? v - mod : v), *this; }
    MDCONST ModInt(lint v) { _setval(v % mod + mod); }
    MDCONST explicit operator bool() const { return val != 0; }
    MDCONST ModInt operator+(const ModInt &x) const { return ModInt()._setval((lint)val + x.val); }
    MDCONST ModInt operator-(const ModInt &x) const { return ModInt()._setval((lint)val - x.val + mod); }
    MDCONST ModInt operator*(const ModInt &x) const { return ModInt()._setval((lint)val * x.val % mod); }
    MDCONST ModInt operator/(const ModInt &x) const { return ModInt()._setval((lint)val * x.inv() % mod); }
    MDCONST ModInt operator-() const { return ModInt()._setval(mod - val); }
    MDCONST ModInt &operator+=(const ModInt &x) { return *this = *this + x; }
    MDCONST ModInt &operator-=(const ModInt &x) { return *this = *this - x; }
    MDCONST ModInt &operator*=(const ModInt &x) { return *this = *this * x; }
    MDCONST ModInt &operator/=(const ModInt &x) { return *this = *this / x; }
    friend MDCONST ModInt operator+(lint a, const ModInt &x) { return ModInt()._setval(a % mod + x.val); }
    friend MDCONST ModInt operator-(lint a, const ModInt &x) { return ModInt()._setval(a % mod - x.val + mod); }
    friend MDCONST ModInt operator*(lint a, const ModInt &x) { return ModInt()._setval(a % mod * x.val % mod); }
    friend MDCONST ModInt operator/(lint a, const ModInt &x) { return ModInt()._setval(a % mod * x.inv() % mod); }
    MDCONST bool operator==(const ModInt &x) const { return val == x.val; }
    MDCONST bool operator!=(const ModInt &x) const { return val != x.val; }
    MDCONST bool operator<(const ModInt &x) const { return val < x.val; } // To use std::map<ModInt, T>
    friend std::istream &operator>>(std::istream &is, ModInt &x) {
        lint t;
        return is >> t, x = ModInt(t), is;
    }
    MDCONST friend std::ostream &operator<<(std::ostream &os, const ModInt &x) { return os << x.val; }
    MDCONST ModInt pow(lint n) const {
        lint ans = 1, tmp = this->val;
        while (n) {
            if (n & 1) ans = ans * tmp % mod;
            tmp = tmp * tmp % mod, n /= 2;
        }
        return ans;
    }

    static std::vector<long long> facs, invs;
    MDCONST static void _precalculation(int N) {
        int l0 = facs.size();
        if (N <= l0) return;
        facs.resize(N), invs.resize(N);
        for (int i = l0; i < N; i++) facs[i] = facs[i - 1] * i % mod;
        long long facinv = ModInt(facs.back()).pow(mod - 2).val;
        for (int i = N - 1; i >= l0; i--) {
            invs[i] = facinv * facs[i - 1] % mod;
            facinv = facinv * i % mod;
        }
    }
    MDCONST lint inv() const {
        if (this->val < std::min(mod >> 1, 1 << 21)) {
            while (this->val >= int(facs.size())) _precalculation(facs.size() * 2);
            return invs[this->val];
        } else {
            return this->pow(mod - 2).val;
        }
    }
    MDCONST ModInt fac() const {
        while (this->val >= int(facs.size())) _precalculation(facs.size() * 2);
        return facs[this->val];
    }

    MDCONST ModInt doublefac() const {
        lint k = (this->val + 1) / 2;
        return (this->val & 1) ? ModInt(k * 2).fac() / (ModInt(2).pow(k) * ModInt(k).fac())
                               : ModInt(k).fac() * ModInt(2).pow(k);
    }
    MDCONST ModInt nCr(const ModInt &r) const {
        return (this->val < r.val) ? 0 : this->fac() / ((*this - r).fac() * r.fac());
    }

    ModInt sqrt() const {
        if (val == 0) return 0;
        if (mod == 2) return val;
        if (pow((mod - 1) / 2) != 1) return 0;
        ModInt b = 1;
        while (b.pow((mod - 1) / 2) == 1) b += 1;
        int e = 0, m = mod - 1;
        while (m % 2 == 0) m >>= 1, e++;
        ModInt x = pow((m - 1) / 2), y = (*this) * x * x;
        x *= (*this);
        ModInt z = b.pow(m);
        while (y != 1) {
            int j = 0;
            ModInt t = y;
            while (t != 1) j++, t *= t;
            z = z.pow(1LL << (e - j - 1));
            x *= z, z *= z, y *= z;
            e = j;
        }
        return ModInt(std::min(x.val, mod - x.val));
    }
};
template <int mod> std::vector<long long> ModInt<mod>::facs = {1};
template <int mod> std::vector<long long> ModInt<mod>::invs = {0};
using mint = ModInt<998244353>;

int main() {
    int N, M, L, K;
    cin >> N >> M >> L >> K;
    vector<int> X(M), Y(M);
    map<pint, int> mp;
    REP(i, M) cin >> X[i] >> Y[i], mp[pint(X[i], Y[i])] = i;
    X.push_back(N), Y.push_back(N);
    vector<int> st(N);

    vector<vector<pint>> ts(M + 1);
    REP(l, L) {
        int x, y;
        cin >> x >> y;
        int i = arglb(X, x);
        if (i < M and Y[i] < y) i++;
        if (x > X[i] or y > Y[i]) continue;
        if (i and (x < X[i - 1] or y < Y[i - 1])) continue;
        ts[i].emplace_back(x, y);
    }
    dbg(X);
    dbg(Y);
    dbg(ts);
    vector<mint> dp(K + 1);
    dp[0] = 1;
    int prvx = 0, prvy = 0;
    REP(m, ts.size()) {
        ts[m].emplace_back(prvx, prvy);
        sort(ts[m].begin(), ts[m].end());

        vector<int> add(ts[m].size(), 1);
        add[0] = 0;

        if (ts[m].back() != pint(X[m], Y[m])) {
            ts[m].emplace_back(X[m], Y[m]);
            add.emplace_back(0);
        }

        vector trans(ts[m].size(), vector<mint>(ts[m].size()));
        IREP(l, ts[m].size()) FOR(r, l + 1, ts[m].size()) {
            auto [dx, dy] = ts[m][r] - ts[m][l];
            if (dx < 0 or dy < 0) continue;
            trans[l][r] = mint(dx + dy).nCr(dx);
            FOR(i, l + 1, r) {
                auto [dx, dy] = ts[m][i] - ts[m][l];
                if (dx < 0 or dy < 0) continue;
                trans[l][r] -= mint(dx + dy).nCr(dx) * trans[i][r];
            }
        }

        vector mat(ts[m].size(), vector<mint>(dp.size()));
        mat[0] = dp;
        REP(i, ts[m].size()) FOR(j, i + 1, ts[m].size()) {
            REP(k, K + 1) {
                int knxt = k + add[j];
                if (knxt <= K) {
                    mat[j][knxt] += mat[i][k] * trans[i][j];
                }
            }
        }

        prvx = X[m], prvy = Y[m];
        dp = mat.back();
    }

    cout << accumulate(dp.begin(), dp.end(), mint(0)) << '\n';
}
0