結果

問題 No.2744 Power! or +1
ユーザー tnakao0123
提出日時 2024-06-17 14:42:30
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 2,796 bytes
コンパイル時間 711 ms
コンパイル使用メモリ 65,932 KB
最終ジャッジ日時 2025-02-21 23:06:01
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
（要ログイン）
ファイルパターン 結果
sample AC * 2
other AC * 3 WA * 6
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function ‘int main()’:
main.cpp:87:8: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
   87 |   scanf("%d%d%d%d", &n, &a, &b, &c);
      |   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~

ソースコード

diff #
プレゼンテーションモードにする

/* -*- coding: utf-8 -*-
 *
 * 2744.cc:  No.2744 Power! or +1 - yukicoder
 */
#include<cstdio>
#include<vector>
#include<algorithm>
#include<utility>
 
using namespace std;
/* constant */
const int MAX_N = 200000;
const int MAX_N2 = MAX_N * 2;
const int MAX_P = 200000;
/* typedef */
using ll = long long;
using vb = vector<bool>;
using vi = vector<int>;
using pii = pair<int,int>;
using vpii = vector<pii>;
/* global variables */
vb primes;
vi pnums;
ll dp[MAX_N2 + 1];
/* subroutines */
int gen_primes(int maxp) {
  primes.assign(maxp + 1, true);
  primes[0] = primes[1] = false;
  int p;
  for (p = 2; p * p <= maxp; p++)
    if (primes[p]) {
      pnums.push_back(p);
      for (int q = p * p; q <= maxp; q += p) primes[q] = false;
    }
  for (; p <= maxp; p++)
    if (primes[p]) pnums.push_back(p);
  return (int)pnums.size();
}
bool prime_decomp(int n, vpii& pds) {
  pds.clear();
  for (auto pi: pnums) {
    if (pi * pi > n) {
      if (n > 1) pds.push_back(pii(n, 1));
      return true;
    }
    if (n % pi == 0) {
      int fi = 0;
      while (n % pi == 0) n /= pi, fi++;
      pds.push_back(pii(pi, fi));
    }
  }
  return false;
}
inline void setmin(ll &a, ll b) { if (a > b) a = b; }
template <typename T>
T gcd(T m, T n) {  // m >= 0, n >= 0
  if (m < n) swap(m, n);
  while (n > 0) {
    T r = m % n;
    m = n;
    n = r;
  }
  return m;
}
/* main */
int main() {
  gen_primes(MAX_P);
  
  int n, a, b, c;
  scanf("%d%d%d%d", &n, &a, &b, &c);
  int n2 = n * 2;
  ll b2 = (ll)b * b, b3 = b2 * b;
  vpii npds;
  prime_decomp(n, npds);
  //for (auto [p, f]: npds) printf(" %d^%d", p, f); putchar('\n');
  
  dp[0] = dp[1] = 0;
  for (int i = 2; i <= n2; i++) dp[i] = dp[i - 1] + a;
  ll f = 1;
  for (int x = 1; x < n2; x++) {
    // op 1
    setmin(dp[x + 1], dp[x] + a);
    // op 2
    if (x > 1) {
      ll x2 = (ll)x * x, x3 = x2 * x;
      if (x2 <= n2) setmin(dp[x2], dp[x] + b2);
      if (x3 <= n2) setmin(dp[x3], dp[x] + b3);
    }
    // op 3
    if (x > 1 && f < n2) {
      f *= x;
      if (f <= n2 && f > x) setmin(dp[f], dp[x] + c);
    }
  }
  //printf(" dp[n]=%lld\n", dp[n]);
  
  ll mind = dp[n];
  for (int x = 2; x < n2; x++) {
    int maxk = 0;
    for (auto [p, f]: npds) {
      if (x % p != 0) { maxk = 0; break; }
      int fx = 0;
      for (int y = x; y % p == 0; y /= p) fx++;
      maxk = max(maxk, (f + fx - 1) / fx);
    }
    if (maxk >= 2) {
      if (maxk & 1) {
    int c2 = (maxk - 3) / 2;
    setmin(mind, dp[x] + b2 * c2 + b3);
      }
      else {
    int c2 = maxk / 2;
    setmin(mind, dp[x] + b2 * c2);
      }
    }
  }
  //printf(" mind=%lld\n", mind);
  for (int x = 2, r = n; x < n2; x++) {
    if (r > 1) r /= gcd(x, r);
    if (r == 1) setmin(mind, dp[x] + c);
  }
  
  printf("%lld\n", mind);
  return 0;
}
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0