結果

問題 No.1696 Nonnil
ユーザー torisasami4torisasami4
提出日時 2021-10-01 23:29:31
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,110 ms / 3,500 ms
コード長 6,131 bytes
コンパイル時間 3,263 ms
コンパイル使用メモリ 246,060 KB
実行使用メモリ 13,952 KB
最終ジャッジ日時 2024-07-19 16:24:07
合計ジャッジ時間 14,942 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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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
6,812 KB
testcase_01 AC 2 ms
6,816 KB
testcase_02 AC 1 ms
6,940 KB
testcase_03 AC 6 ms
6,944 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 2 ms
6,944 KB
testcase_07 AC 2 ms
6,940 KB
testcase_08 AC 4 ms
6,944 KB
testcase_09 AC 33 ms
6,940 KB
testcase_10 AC 54 ms
6,944 KB
testcase_11 AC 36 ms
6,944 KB
testcase_12 AC 46 ms
6,940 KB
testcase_13 AC 33 ms
6,944 KB
testcase_14 AC 332 ms
7,680 KB
testcase_15 AC 98 ms
6,940 KB
testcase_16 AC 358 ms
8,576 KB
testcase_17 AC 230 ms
6,940 KB
testcase_18 AC 187 ms
6,940 KB
testcase_19 AC 2 ms
6,940 KB
testcase_20 AC 2 ms
6,944 KB
testcase_21 AC 214 ms
6,940 KB
testcase_22 AC 281 ms
6,940 KB
testcase_23 AC 263 ms
6,940 KB
testcase_24 AC 261 ms
6,940 KB
testcase_25 AC 396 ms
8,064 KB
testcase_26 AC 310 ms
6,940 KB
testcase_27 AC 364 ms
7,680 KB
testcase_28 AC 321 ms
7,552 KB
testcase_29 AC 260 ms
6,940 KB
testcase_30 AC 215 ms
6,944 KB
testcase_31 AC 278 ms
6,940 KB
testcase_32 AC 322 ms
6,944 KB
testcase_33 AC 347 ms
7,680 KB
testcase_34 AC 237 ms
6,940 KB
testcase_35 AC 292 ms
6,940 KB
testcase_36 AC 1,110 ms
13,952 KB
testcase_37 AC 983 ms
12,928 KB
testcase_38 AC 940 ms
12,800 KB
testcase_39 AC 411 ms
9,472 KB
testcase_40 AC 615 ms
10,624 KB
testcase_41 AC 213 ms
6,940 KB
testcase_42 AC 9 ms
6,944 KB
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 # 

#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define pb(...) emplace_back(__VA_ARGS__)
#define mp(a, b) make_pair(a, b)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define lscan(x) scanf("%I64d", &x)
#define lprint(x) printf("%I64d", x)
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define rep2(i, n) for (ll i = (ll)n - 1; i >= 0; i--)
#define REP(i, l, r) for (ll i = l; i < (r); i++)
#define REP2(i, l, r) for (ll i = (ll)r - 1; i >= (l); i--)
#define siz(x) (ll) x.size()
template <class T>
using rque = priority_queue<T, vector<T>, greater<T>>;

template <class T>
bool chmin(T &a, const T &b) {
    if (b < a) {
        a = b;
        return 1;
    }
    return 0;
}

template <class T>
bool chmax(T &a, const T &b) {
    if (b > a) {
        a = b;
        return 1;
    }
    return 0;
}

ll gcd(ll a, ll b) {
    if (a == 0)
        return b;
    if (b == 0)
        return a;
    ll cnt = a % b;
    while (cnt != 0) {
        a = b;
        b = cnt;
        cnt = a % b;
    }
    return b;
}

long long extGCD(long long a, long long b, long long &x, long long &y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    long long d = extGCD(b, a % b, y, x);
    y -= a / b * x;
    return d;
}

struct UnionFind {
    vector<ll> data;
    int num;

    UnionFind(int sz) {
        data.assign(sz, -1);
        num = sz;
    }

    bool unite(int x, int y) {
        x = find(x), y = find(y);
        if (x == y)
            return (false);
        if (data[x] > data[y])
            swap(x, y);
        data[x] += data[y];
        data[y] = x;
        num--;
        return (true);
    }

    int find(int k) {
        if (data[k] < 0)
            return (k);
        return (data[k] = find(data[k]));
    }

    ll size(int k) {
        return (-data[find(k)]);
    }

    bool same(int x, int y) {
        return find(x) == find(y);
    }
};

template <int mod>
struct ModInt {
    int x;

    ModInt() : x(0) {
    }

    ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {
    }

    ModInt &operator+=(const ModInt &p) {
        if ((x += p.x) >= mod)
            x -= mod;
        return *this;
    }

    ModInt &operator-=(const ModInt &p) {
        if ((x += mod - p.x) >= mod)
            x -= mod;
        return *this;
    }

    ModInt &operator*=(const ModInt &p) {
        x = (int)(1LL * x * p.x % mod);
        return *this;
    }

    ModInt &operator/=(const ModInt &p) {
        *this *= p.inverse();
        return *this;
    }

    ModInt operator-() const {
        return ModInt(-x);
    }

    ModInt operator+(const ModInt &p) const {
        return ModInt(*this) += p;
    }

    ModInt operator-(const ModInt &p) const {
        return ModInt(*this) -= p;
    }

    ModInt &operator++() {
        return *this += ModInt(1);
    }

    ModInt operator++(int) {
        ModInt tmp = *this;
        ++*this;
        return tmp;
    }

    ModInt &operator--() {
        return *this -= ModInt(1);
    }

    ModInt operator--(int) {
        ModInt tmp = *this;
        --*this;
        return tmp;
    }

    ModInt operator*(const ModInt &p) const {
        return ModInt(*this) *= p;
    }

    ModInt operator/(const ModInt &p) const {
        return ModInt(*this) /= p;
    }

    bool operator==(const ModInt &p) const {
        return x == p.x;
    }

    bool operator!=(const ModInt &p) const {
        return x != p.x;
    }

    ModInt inverse() const {
        int a = x, b = mod, u = 1, v = 0, t;
        while (b > 0) {
            t = a / b;
            swap(a -= t * b, b);
            swap(u -= t * v, v);
        }
        return ModInt(u);
    }

    ModInt pow(int64_t n) const {
        ModInt ret(1), mul(x);
        while (n > 0) {
            if (n & 1)
                ret *= mul;
            mul *= mul;
            n >>= 1;
        }
        return ret;
    }

    friend ostream &operator<<(ostream &os, const ModInt &p) {
        return os << p.x;
    }

    friend istream &operator>>(istream &is, ModInt &a) {
        int64_t t;
        is >> t;
        a = ModInt<mod>(t);
        return (is);
    }

    static int get_mod() {
        return mod;
    }
};

ll mpow2(ll x, ll n, ll mod) {
    ll ans = 1;
    while (n != 0) {
        if (n & 1)
            ans = ans * x % mod;
        x = x * x % mod;
        n = n >> 1;
    }
    return ans;
}
ll modinv2(ll a, ll mod) {
    ll b = mod, u = 1, v = 0;
    while (b) {
        ll t = a / b;
        a -= t * b;
        swap(a, b);
        u -= t * v;
        swap(u, v);
    }
    u %= mod;
    if (u < 0)
        u += mod;
    return u;
}

// constexpr int mod = 1000000007;
constexpr int mod = 998244353;
// constexpr int mod = 31607;
using mint = ModInt<mod>;

mint mpow(mint x, ll n) {
    mint ans = 1;
    while (n != 0) {
        if (n & 1)
            ans *= x;
        x *= x;
        n = n >> 1;
    }
    return ans;
}

// ----- library -------
// ----- library -------

int main() {
    ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    cout << fixed << setprecision(15);

    int n, k, m;
    cin >> n >> k >> m;
    vector<int> l(m), r(m);
    rep(i, m) cin >> l[i] >> r[i], l[i]--, r[i]--;
    vector<int> mi(k, 1e9);
    rep(i, m) chmin(mi[l[i]], r[i]);
    vector<pair<ll, ll>> v;
    int tmp = 1e8;
    rep2(i, k) if (chmin(tmp, mi[i])) v.pb(i, mi[i]);
    v.pb(-1e9, -1e9);
    reverse(all(v));
    map<ll, mint> sl, sr;
    int sz = v.size();
    vector<vector<mint>> dp(sz, vector<mint>(k + 1, 0));
    dp[0][0] = 1;
    rep(j, k + 1) sr[j - v[0].second] += dp[0][j];
    int bo = 0;
    REP(i, 1, sz) {
        auto [nl, nr] = v[i];
        while (v[bo].second < nl) {
            rep(j, k + 1) sl[j] += dp[bo][j], sr[j - v[bo].second] -= dp[bo][j];
            bo++;
        }
        rep(j, k + 1) dp[i][j] -= sl[j - nr + nl - 1], dp[i][j] -= sr[j - nr];
        rep(j, k + 1) sr[j - nr] += dp[i][j];
    }
    mint ans = 0;
    rep(i, sz) rep(j, k + 1) ans += mpow(k - j, n) * dp[i][j];
    cout << ans << endl;
}
0