結果

問題 No.1889 K Consecutive Ks (Hard)
ユーザー oteraotera
提出日時 2022-03-31 13:22:57
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 692 ms / 6,000 ms
コード長 7,112 bytes
コンパイル時間 3,399 ms
コンパイル使用メモリ 243,844 KB
実行使用メモリ 20,080 KB
最終ジャッジ日時 2024-11-16 19:55:31
合計ジャッジ時間 12,188 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 642 ms
19,968 KB
testcase_03 AC 1 ms
5,248 KB
testcase_04 AC 2 ms
5,248 KB
testcase_05 AC 1 ms
5,248 KB
testcase_06 AC 2 ms
5,248 KB
testcase_07 AC 2 ms
5,248 KB
testcase_08 AC 2 ms
5,248 KB
testcase_09 AC 629 ms
19,692 KB
testcase_10 AC 692 ms
19,872 KB
testcase_11 AC 142 ms
7,880 KB
testcase_12 AC 289 ms
11,652 KB
testcase_13 AC 156 ms
8,764 KB
testcase_14 AC 293 ms
11,960 KB
testcase_15 AC 325 ms
13,488 KB
testcase_16 AC 617 ms
19,784 KB
testcase_17 AC 144 ms
8,140 KB
testcase_18 AC 615 ms
19,436 KB
testcase_19 AC 634 ms
19,784 KB
testcase_20 AC 629 ms
20,080 KB
testcase_21 AC 631 ms
19,824 KB
testcase_22 AC 633 ms
19,964 KB
testcase_23 AC 309 ms
12,948 KB
testcase_24 AC 630 ms
20,080 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 # 

/**
 *    author:  otera
**/
#include<bits/stdc++.h>
#ifndef OTERA_MODINT
#define OTERA_MODINT 1

#include<atcoder/modint>

namespace otera {
    using modint107 = atcoder::modint1000000007;
    using modint998 = atcoder::modint998244353;
    using modint = atcoder::modint;
}; //namespace otera

std::ostream& operator<<(std::ostream& out, const atcoder::modint1000000007 &e) {
    out << e.val();
    return out;
}

std::ostream& operator<<(std::ostream& out, const atcoder::modint998244353 &e) {
    out << e.val();
    return out;
}

std::ostream& operator<<(std::ostream& out, const atcoder::modint &e) {
    out << e.val();
    return out;
}

#endif // OTERA_MODINT
#include<atcoder/convolution>
using namespace std;

// #define int long long

using ll = long long;
using ld = long double;
using ull = unsigned long long;
using int128_t = __int128_t;
#define repa(i, n) for(int i = 0; i < n; ++ i)
#define repb(i, a, b) for(int i = a; i < b; ++ i)
#define repc(i, a, b, c) for(int i = a; i < b; i += c)
#define overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
#define rep(...) overload4(__VA_ARGS__, repc, repb, repa)(__VA_ARGS__)
#define rep1a(i, n) for(int i = 0; i <= n; ++ i)
#define rep1b(i, a, b) for(int i = a; i <= b; ++ i)
#define rep1c(i, a, b, c) for(int i = a; i <= b; i += c)
#define rep1(...) overload4(__VA_ARGS__, rep1c, rep1b, rep1a)(__VA_ARGS__)
#define rev_repa(i, n) for(int i=n-1;i>=0;i--)
#define rev_repb(i, a, b) assert(a > b);for(int i=a;i>b;i--)
#define rev_rep(...) overload3(__VA_ARGS__, rev_repb, rev_repa)(__VA_ARGS__)
#define rev_rep1a(i, n) for(int i=n;i>=1;i--)
#define rev_rep1b(i, a, b) assert(a >= b);for(int i=a;i>=b;i--)
#define rev_rep1(...) overload3(__VA_ARGS__, rev_rep1b, rev_rep1a)(__VA_ARGS__)
typedef pair<int, int> P;
typedef pair<ll, ll> LP;
#define pb push_back
#define pf push_front
#define ppb pop_back
#define ppf pop_front
#define eb emplace_back
#define fr first
#define sc second
#define all(c) c.begin(),c.end()
#define rall(c) c.rbegin(), c.rend()
#define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define Sort(a) sort(all(a))
#define Rev(a) reverse(all(a))
#define Uniq(a) sort(all(a));a.erase(unique(all(a)),end(a))
#define si(c) (int)(c).size()
inline ll popcnt(ull a){ return __builtin_popcountll(a); }
#define kth_bit(x, k) ((x>>k)&1)
#define unless(A) if(!(A))
ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; }
ll intpow(ll a, ll b, ll m) {ll ans = 1; while(b){ if(b & 1) (ans *= a) %= m; (a *= a) %= m; b /= 2; } return ans; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;in(__VA_ARGS__)
#define vec(type,name,...) vector<type>name(__VA_ARGS__)
#define VEC(type,name,size) vector<type>name(size);in(name)
#define vv(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__))
#define VV(type,name,h,w) vector<vector<type>>name(h,vector<type>(w));in(name)
#define vvv(type,name,h,w,...) vector<vector<vector<type>>>name(h,vector<vector<type>>(w,vector<type>(__VA_ARGS__)))
template <class T> using vc = vector<T>;
template <class T> using vvc = vector<vc<T>>;
template <class T> using vvvc = vector<vvc<T>>;
template <class T> using vvvvc = vector<vvvc<T>>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>;
template <class T, class U> using umap = unordered_map<T, U>;
template<class T> void scan(T& a){ cin >> a; }
template<class T> void scan(vector<T>& a){ for(auto&& i : a) scan(i); }
void in(){}
template <class Head, class... Tail> void in(Head& head, Tail&... tail){ scan(head); in(tail...); }
void print(){ cout << ' '; }
template<class T> void print(const T& a){ cout << a; }
template<class T> void print(const vector<T>& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout << ' '; print(*i); } }
int out(){ cout << '\n'; return 0; }
template<class T> int out(const T& t){ print(t); cout << '\n'; return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); cout << ' '; out(tail...); return 0; }
#define CHOOSE(a) CHOOSE2 a
#define CHOOSE2(a0,a1,a2,a3,a4,x,...) x
#define debug_1(x1) cout<<#x1<<": "<<x1<<endl
#define debug_2(x1,x2) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<endl
#define debug_3(x1,x2,x3) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<endl
#define debug_4(x1,x2,x3,x4) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<", "#x4<<": "<<x4<<endl
#define debug_5(x1,x2,x3,x4,x5) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<", "#x4<<": "<<x4<<", "#x5<<": "<<x5<<endl
#ifdef DEBUG
#define debug(...) CHOOSE((__VA_ARGS__,debug_5,debug_4,debug_3,debug_2,debug_1,~))(__VA_ARGS__)
#define dump(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); }
#else
#define debug(...)
#define dump(...)
#endif

struct io_setup {
    io_setup(int precision = 20) {
        ios::sync_with_stdio(false);
        cin.tie(0);
        cout << fixed << setprecision(precision);
    }
} io_setup_ {};

using mint = otera::modint998;

vc<mint> get_vc(const vc<mint> &v, int l, int r) {
    return {begin(v) + l, begin(v) + r};
}

void solve() {
    INT(n, m);
    vc<mint> dp(n + 1, 0), dp2(n + 1, 0);
    vc<mint> pw(n + 1, 0);
    pw[0] = 1;
    rep1(i, 1, n) {
        pw[i] = pw[i - 1] * m;
        dp2[i] = pw[i];
    }
    vc<mint> p(n + 1, 0), q(n + 1, 0);
    p[0] = 1;
    rep1(i, 1, n) {
        p[i] = mint(m - 1) * pw[i - 1];
    }
    rep1(k, 1, m) {
        for(int i = k; i <= n; i += k) {
            q[i] += 1;
        }
    }
    dump(p);
    dump(q);
    auto online_convolution = [&](auto &&online_convolution,int l, int r) -> void {
        if(l + 1 == r) return;
        int mid = (l + r) / 2;
        online_convolution(online_convolution, l, mid);
        auto dp2_ = get_vc(dp2, l, mid);
        auto q_ = get_vc(q, 0, r - l);
        auto r1 = atcoder::convolution(dp2_, q_);
        for(int i = mid; i < r; ++ i) {
            dp[i] += r1[i - l];
        }
        auto dp_ = get_vc(dp, l + 1, mid + 1);
        auto p_ = get_vc(p, 0, r - l);
        auto r2 = atcoder::convolution(dp_, p_);
        for(int i = mid; i < r; ++ i) {
            dp2[i] -= r2[i - l - 1];
        }
        online_convolution(online_convolution, mid, r);
    };
    dp2[0] = 1; 
    online_convolution(online_convolution, 0, n + 1);
    dump(dp);
    dump(dp2);
    mint ans = pw[n] - dp2[n];
    out(ans);
}

signed main() {
    int testcase = 1;
    // in(testcase);
    while(testcase--) solve();
    return 0;
}
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