結果
問題 | No.1260 たくさんの多項式 |
ユーザー |
|
提出日時 | 2020-10-16 23:12:11 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 962 ms / 2,000 ms |
コード長 | 4,122 bytes |
コンパイル時間 | 2,086 ms |
コンパイル使用メモリ | 195,132 KB |
最終ジャッジ日時 | 2025-01-15 09:18:20 |
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
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ファイルパターン | 結果 |
---|---|
other | AC * 61 |
ソースコード
//@formatter:off#include<bits/stdc++.h>#define rep(i,n) for (int i = 0; i < int(n); ++i)#define rrep(i,n) for (int i = int(n)-1; i >= 0; i--)#define rep2(i,s,n) for (int i = int(s); i < int(n); ++i)#define all(a) a.begin(),a.end()#define rall(a) a.rbegin(),a.rend()#define pb push_back#define eb emplace_back#define vi vector<int>#define vvi vector<vector<int>>#define vl vector<ll>#define vvl vector<vector<ll>>#define vd vector<double>#define vvd vector<vector<double>>#define vs vector<string>#define vc vector<char>#define vvc vector<vector<char>>#define vb vector<bool>#define vvb vector<vector<bool>>#define vp vector<P>#define vvp vector<vector<P>>using namespace std;using ll = long long;using P = pair<int,int>;using LP = pair<ll,ll>;template<class S,class T> istream& operator>>(istream &is,pair<S,T> &p) { return is >> p.first >> p.second; }template<class S,class T> ostream& operator<<(ostream &os,const pair<S,T> &p) { return os<<'{'<<p.first<<","<<p.second<<'}'; }template<class T> istream& operator>>(istream &is,vector<T> &v) { for(T &t:v){is>>t;} return is; }template<class T> ostream& operator<<(ostream &os,const vector<T> &v) { os<<'[';rep(i,v.size())os<<v[i]<<(i==int(v.size()-1)?"":","); return os<<']';}void Yes(bool b) { cout << (b ? "Yes" : "No") << '\n'; }void YES(bool b) { cout << (b ? "YES" : "NO") << '\n'; }template<class T> bool chmin(T& a,T b) {if(a > b){a = b; return true;} return false;}template<class T> bool chmax(T& a,T b) {if(a < b){a = b; return true;} return false;}const int inf = 1001001001;const ll linf = 1001001001001001001;//@formatter:onconstexpr int mod = 1000000007;//constexpr int mod = 998244353;struct mint {ll x;constexpr mint(ll x = 0) : x((x % mod + mod) % mod) {}constexpr mint operator-() const { return mint(-x); }constexpr mint &operator+=(const mint &a) {if ((x += a.x) >= mod) x -= mod;return *this;}constexpr mint &operator++() { return *this += mint(1); }constexpr mint &operator-=(const mint &a) {if ((x += mod - a.x) >= mod) x -= mod;return *this;}constexpr mint &operator--() { return *this -= mint(1); }constexpr mint &operator*=(const mint &a) {(x *= a.x) %= mod;return *this;}constexpr mint operator+(const mint &a) const {mint res(*this);return res += a;}constexpr mint operator-(const mint &a) const {mint res(*this);return res -= a;}constexpr mint operator*(const mint &a) const {mint res(*this);return res *= a;}constexpr mint pow(ll t) const {mint res = mint(1), a(*this);while (t > 0) {if (t & 1) res *= a;t >>= 1;a *= a;}return res;}// for prime modconstexpr mint inv() const { return pow(mod - 2); }constexpr mint &operator/=(const mint &a) { return *this *= a.inv(); }constexpr mint operator/(const mint &a) const {mint res(*this);return res /= a;}};ostream &operator<<(ostream &os, const mint &a) { return os << a.x; }int main() {ios::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr);ll n;cin >> n;mint ans = 0;ll d = 2;rep2(i, 2, inf) {if ((ll) i * i <= n) {ll temp = n;while (temp > 0) {ans += temp % i;temp /= i;}} else {d = i;break;}}ll last = n + 1;rep2(i, 1, inf) {ll ok = n, ng = 0;auto f = [&](ll x) -> bool {return n / x <= i;};while (abs(ok - ng) > 1) {ll mid = (ng + ok) / 2;if (f(mid)) ok = mid;else ng = mid;}chmax(ok, d);mint len = last - ok;ans += len * (n + i) - len * (ok + last - 1) / 2 * i;if (ok == d) break;last = ok;}cout << ans << endl;}