結果

問題 No.1331 Moving Penguin
ユーザー Ricky_pon
提出日時 2021-01-08 22:19:22
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 181 ms / 1,500 ms
コード長 3,878 bytes
コンパイル時間 2,025 ms
コンパイル使用メモリ 197,516 KB
最終ジャッジ日時 2025-01-17 12:34:33
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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ファイルパターン 結果
other AC * 49
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コンパイルメッセージ
main.cpp: In function ‘int main()’:
main.cpp:152:16: warning: format ‘%lld’ expects argument of type ‘long long int’, but argument 2 has type ‘modint<1000000007>::i64’ {aka ‘long int’} [-Wformat=]
  152 |     printf("%lld\n", dp[n].a);
      |             ~~~^     ~~~~~~~
      |                |           |
      |                |           modint<1000000007>::i64 {aka long int}
      |                long long int
      |             %ld
main.cpp:129:10: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  129 |     scanf("%d", &n);
      |     ~~~~~^~~~~~~~~~
main.cpp:131:27: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  131 |     For(i, 1, n + 1) scanf("%d", &a[i]);
      |                      ~~~~~^~~~~~~~~~~~~

ソースコード

diff # 

#include <bits/stdc++.h>

//#include <atcoder/all>
#define For(i, a, b) for (int(i) = (int)(a); (i) < (int)(b); ++(i))
#define rFor(i, a, b) for (int(i) = (int)(a)-1; (i) >= (int)(b); --(i))
#define rep(i, n) For((i), 0, (n))
#define rrep(i, n) rFor((i), (n), 0)
#define fi first
#define se second
using namespace std;
typedef long long lint;
typedef unsigned long long ulint;
typedef pair<int, int> pii;
typedef pair<lint, lint> pll;
template <class T>
bool chmax(T &a, const T &b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
template <class T>
bool chmin(T &a, const T &b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template <class T>
T div_floor(T a, T b) {
    if (b < 0) a *= -1, b *= -1;
    return a >= 0 ? a / b : (a + 1) / b - 1;
}
template <class T>
T div_ceil(T a, T b) {
    if (b < 0) a *= -1, b *= -1;
    return a > 0 ? (a - 1) / b + 1 : a / b;
}

constexpr lint mod = 1000000007;
constexpr lint INF = mod * mod;
constexpr int MAX = 200010;

template <int_fast64_t MOD>
struct modint {
    using i64 = int_fast64_t;
    i64 a;
    modint(const i64 a_ = 0) : a(a_) {
        if (a > MOD)
            a %= MOD;
        else if (a < 0)
            (a %= MOD) += MOD;
    }
    modint inv() {
        i64 t = 1, n = MOD - 2, x = a;
        while (n) {
            if (n & 1) (t *= x) %= MOD;
            (x *= x) %= MOD;
            n >>= 1;
        }
        modint ret(t);
        return ret;
    }
    bool operator==(const modint x) const { return a == x.a; }
    bool operator!=(const modint x) const { return a != x.a; }
    modint operator+(const modint x) const { return modint(*this) += x; }
    modint operator-(const modint x) const { return modint(*this) -= x; }
    modint operator*(const modint x) const { return modint(*this) *= x; }
    modint operator/(const modint x) const { return modint(*this) /= x; }
    modint operator^(const lint x) const { return modint(*this) ^= x; }
    modint &operator+=(const modint &x) {
        a += x.a;
        if (a >= MOD) a -= MOD;
        return *this;
    }
    modint &operator-=(const modint &x) {
        a -= x.a;
        if (a < 0) a += MOD;
        return *this;
    }
    modint &operator*=(const modint &x) {
        (a *= x.a) %= MOD;
        return *this;
    }
    modint &operator/=(modint x) {
        (a *= x.inv().a) %= MOD;
        return *this;
    }
    modint &operator^=(lint n) {
        i64 ret = 1;
        while (n) {
            if (n & 1) (ret *= a) %= MOD;
            (a *= a) %= MOD;
            n >>= 1;
        }
        a = ret;
        return *this;
    }
    modint operator-() const { return modint(0) - *this; }
    modint &operator++() { return *this += 1; }
    modint &operator--() { return *this -= 1; }
    bool operator<(const modint x) const { return a < x.a; }
};

using mint = modint<1000000007>;

vector<mint> fact;
vector<mint> revfact;

void setfact(int n) {
    fact.resize(n + 1);
    revfact.resize(n + 1);
    fact[0] = 1;
    rep(i, n) fact[i + 1] = fact[i] * mint(i + 1);

    revfact[n] = fact[n].inv();
    for (int i = n - 1; i >= 0; i--) revfact[i] = revfact[i + 1] * mint(i + 1);
}

mint getC(int n, int r) {
    if (n < r) return 0;
    return fact[n] * revfact[r] * revfact[n - r];
}

int main() {
    int n;
    scanf("%d", &n);
    int a[n + 1];
    For(i, 1, n + 1) scanf("%d", &a[i]);

    int b = 400;
    mint dp[n + 1], sum[b][b];
    rep(i, n + 1) dp[i] = 0;
    dp[1] = 1;
    rep(i, b) rep(j, b) sum[i][j] = 0;

    For(i, 1, n) {
        if (a[i] < b) {
            sum[a[i]][i % a[i]] += dp[i];
        } else {
            for (int j = i + a[i]; j <= n; j += a[i]) {
                dp[j] += dp[i];
            }
        }

        if (a[i] != 1) dp[i + 1] += dp[i];
        For(k, 1, b) dp[i + 1] += sum[k][(i + 1) % k];
    }

    printf("%lld\n", dp[n].a);
}
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