結果
| 問題 | No.2744 Power! or +1 |
| ユーザー |
 siganai
|
| 提出日時 | 2024-04-20 19:23:14 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 7,964 bytes |
| コンパイル時間 | 2,581 ms |
| コンパイル使用メモリ | 217,688 KB |
| 実行使用メモリ | 6,820 KB |
| 最終ジャッジ日時 | 2024-10-12 17:11:32 |
| 合計ジャッジ時間 | 3,248 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge3 |
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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 | 12 ms
5,248 KB |
| testcase_01 | AC | 11 ms
5,248 KB |
| testcase_02 | AC | 3 ms
5,248 KB |
| testcase_03 | WA | - |
| testcase_04 | WA | - |
| testcase_05 | WA | - |
| testcase_06 | WA | - |
| testcase_07 | WA | - |
| testcase_08 | AC | 11 ms
5,248 KB |
| testcase_09 | WA | - |
| testcase_10 | WA | - |
ソースコード
#line 1 "test.cpp"
//#pragma GCC target("avx,avx2")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (static_cast<void>(0))
#endif
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vul = vector<ull>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vs = vector<string>;
template<class T> using pq = priority_queue<T, vector<T>, greater<T>>;
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload3(a,b,c,name,...) name
#define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER)
#define rep2(i, n) for (ll i = 0; i < (n); ++i)
#define rep3(i, a, b) for (ll i = (a); i < (b); ++i)
#define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--)
#define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c)
#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define all1(i) begin(i) , end(i)
#define all2(i,a) begin(i) , begin(i) + a
#define all3(i,a,b) begin(i) + a , begin(i) + b
#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)
#define sum(...) accumulate(all(__VA_ARGS__),0LL)
template<class T> bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; }
template<class T> bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; }
template<class T> auto min(const T& a){return *min_element(all(a));}
template<class T> auto max(const T& a){return *max_element(all(a));}
template<class... Ts> void in(Ts&... t);
#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)
#define LL(...) ll __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, size) vector<type> name(size); in(name)
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)
ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;}
ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
void Yes() {cout << "Yes\n";return;}
void No() {cout << "No\n";return;}
void YES() {cout << "YES\n";return;}
void NO() {cout << "NO\n";return;}
namespace IO{
#define VOID(a) decltype(void(a))
struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(12);}} setting;
template<int I> struct P : P<I-1>{};
template<> struct P<0>{};
template<class T> void i(T& t){ i(t, P<3>{}); }
void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }
template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }
template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }
template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){in(get<idx>(t)...);}
template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){ituple(t, make_index_sequence<tuple_size<T>::value>{});}
#undef VOID
}
#define unpack(a) (void)initializer_list<int>{(a, 0)...}
template<class... Ts> void in(Ts&... t){ unpack(IO :: i(t)); }
#undef unpack
static const double PI = 3.1415926535897932;
template <class F> struct REC {
F f;
REC(F &&f_) : f(forward<F>(f_)) {}
template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); }};
constexpr int mod = 998244353;
//constexpr int mod = 1000000007;
#line 2 "library/math/factorize.hpp"
vector<pair<long long,int>> prime_factorization(long long n) {
vector<pair<long long,int>> ret;
int c = 0;
while(n % 2 == 0) {
c++;
n >>= 1;
}
if(c) ret.emplace_back(2,c);
for(long long i = 3; i * i <= n; i += 2) {
c = 0;
while(n % i == 0) {
n /= i;
c++;
}
if(c) ret.emplace_back(i,c);
}
if (n != 1) ret.emplace_back(n,1);
return ret;
}
vector<long long> divisor(long long n) {
vector<long long> ret;
for(long long i = 1; i * i <= n; i++) {
if (n % i == 0) {
ret.push_back(i);
if(i * i != n) {ret.push_back(n / i);}
}
}
sort(ret.begin(),ret.end());
return ret;
}
#line 90 "test.cpp"
int main() {
INT(n,a,b,c);
vl dp(n+1,1e18);
dp[1] = 0;
rep(i,1,n) {
chmin(dp[i+1],dp[i]+a);
if(i > 1) {
ll now = i;
ll cost = b;
while(now * i <= n) {
now *= i;
cost *= b;
if(cost >= 1e11) break;
chmin(dp[now],dp[i] + cost);
}
if(i > 2 && i < 9) {
ll x = 1;
rep(j,1,i+1) x *= j;
if(x <= n) chmin(dp[x],dp[i] + c);
}
}
}
auto ps = prime_factorization(n);
ll ans = dp[n];
auto tmp = ps;
int flg = 0;
int thr = 0;
rep(i,2,n+1) {
if(!flg) {
int now = i;
int rem = 0;
rep(j,tmp.size()) {
while(tmp[j].second && now % tmp[j].first == 0) {
now /= tmp[j].first;
tmp[j].second--;
}
if(tmp[j].second) rem = 1;
}
if(rem == 0) {
flg = 1;
thr = i;
}
}
if(flg) {
debug(i,dp[i]);
chmin(ans,dp[i] + c);
}
}
debug(ans);
rep(i,1,n+1) {
int F = 1;
int ma = 0;
rep(j,ps.size()) {
if(i % ps[j].first) F = 0;
else {
int cnt = 0;
int now = i;
while(now % ps[j].first == 0) {
cnt++;
now /= ps[j].first;
}
chmax(ma,(ps[j].second + cnt - 1) / cnt);
}
}
if(F) {
ll cost = 1;
while(ma && cost <= 1e11) {
ma--;
cost *= b;
}
if(ma == 0) chmin(ans,dp[i] + cost);
}
ll cost = b;
ll now = i;
while(now < thr && cost <= 1e11) {
cost *= b;
now *= i;
}
if(now >= thr) chmin(ans,dp[i] + cost + c);
}
rep(i,3,n+1) {
int now = i;
ll C = 0;
while(now <= 8 && now < thr) {
C += c;
ll nex = 1;
rep(j,1,now+1) nex *= j;
now = nex;
}
if(now < thr) C += 2 * c;
chmin(ans,dp[i] + C);
}
tmp = ps;
rep(i,2,thr) {
int now = i;
int rem = 0;
rep(j,tmp.size()) {
while(tmp[j].second && now % tmp[j].first == 0) {
now /= tmp[j].first;
tmp[j].second--;
}
if(tmp[j].second) rem = 1;
}
int ma = 0;
rep(j,tmp.size()) {
int x = ps[j].second - tmp[j].second;
if(x == 0) ma = 1e9;
else chmax(ma,(ps[j].second + x - 1) / x);
}
if(ma < (int)1e9) {
ll cost = 1;
while(ma && cost <= (ll)1e11) {
cost *= b;
ma--;
}
if(ma == 0) chmin(ans,dp[i] + c + cost);
}
}
cout << ans << '\n';
}