제출 #710874

#제출 시각아이디문제언어결과실행 시간메모리
710874minhcoolCopy and Paste 3 (JOI22_copypaste3)C++17
100 / 100
2058 ms818424 KiB
#include<bits/stdc++.h>
using namespace std;
 
#define int long long
#define fi first
#define se second
#define pb push_back
#define hash hashy
 
 
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;
 
const int N = 2500 + 5;
const int mod = 1e9 + 7, oo = 1e18 + 7;
 
const int md1 = 1e9 + 87, md2 = 1e9 + 123;
 
int n, a, b, c;
string s;
 
int dp[N][N];
 
int mx[N][N];
 
int sparse[N][N][15];
 
ii hash[N];
 
ii pw26[N];
 
ii get(int l, int r){
	int temp1 = (hash[r].fi - hash[l - 1].fi * pw26[r - l + 1].fi + md1 * md1) % md1;
	int temp2 = (hash[r].se - hash[l - 1].se * pw26[r - l + 1].se + md2 * md2) % md2;
	return {temp1, temp2};
}
 
void process(){
    cin >> n >> s >> a >> b >> c;
	s = '*' + s;
	pw26[0] = {1, 1};
	for(int i = 1; i <= n; i++){
		hash[i].fi = (hash[i - 1].fi * 31 + s[i] - 'a') % md1;
		hash[i].se = (hash[i - 1].se * 37 + s[i] - 'a') % md2;
		pw26[i].fi = (pw26[i - 1].fi * 31) % md1;
		pw26[i].se = (pw26[i - 1].se * 37) % md2;
 	}
	for(int i = 1; i <= n; i++){
		for(int j = i + 1; j <= n; j++){
			if(s[i] != s[j]){
				mx[i][j] = mx[j][i] = 0;
				continue;
			}
			int le = i, ri = n;
			while(le < ri){
				int mid = (le + ri + 1) >> 1;
				if((mid + (j - i)) > n){
					ri = mid - 1;
					continue;
				}
				ii temp1 = get(i, mid), temp2 = get(j, mid + (j - i));
				if(temp1 == temp2) le = mid;
				else ri = mid - 1;
			}
			mx[i][j] = mx[j][i] = (le - i + 1);
			//cout << i << " " << j << " " << mx[i][j] << "\n";
		}
	}
	for(int i = 1; i <= n; i++){
		for(int j = i; j <= n; j++) sparse[i][j][0] = mx[i][j];
		for(int j = 1; j <= 13; j++){
			for(int k = 1; (k + (1LL << j) - 1) <= n; k++){
				sparse[i][k][j] = max(sparse[i][k][j - 1], sparse[i][k + (1LL << (j - 1))][j - 1]);
			//	cout << i << " " << j << " " << k << "\n";
			}
		}
	}
	for(int i = 1; i <= n; i++) dp[i][i] = a;
	for(int le = n; le >= 1; le--){
		for(int ri = le + 1; ri <= n; ri++) dp[le][ri] = oo;
		for(int ri = le; ri <= n; ri++){
			dp[le][ri] = min(dp[le][ri], min(dp[le][ri - 1], dp[le + 1][ri]) + a);
			vector<int> pos;
			pos.pb(le);
			int itr = ri + 1;
			while(itr <= n){
				for(int i = 13; i >= 0; i--){
					if((itr + (1LL << i) - 1) > n) continue;
				//	cout << le << " " << ri << " " << itr << " " << i << " " << sparse[le][itr][i] << "\n";
					if(sparse[le][itr][i] < (ri - le + 1)) itr += (1LL << i);
				}
				if(sparse[le][itr][0] < (ri - le + 1)) break;
				pos.pb(itr);
				itr += (ri - le + 1);
			}
			int cnt = 0;
			for(auto it : pos){
			//	cout << "OK " << le << " " << ri << " " << it << "\n";
				cnt++;
				int rem = ((it + ri - le) - le + 1) - (ri - le + 1) * cnt;
			//	cout << it + (ri - le) << "\n";
				if(cnt > 1) dp[le][it + (ri - le)] = min(dp[le][it + (ri - le)], dp[le][ri] + b + c * cnt + a * rem);
			}
		}
		for(int ri = le; ri <= n; ri++){
		//	cout << le << " " << ri << " " << dp[le][ri] << "\n";
		}
	}
	cout << dp[1][n] << "\n";
}
 
signed main(){
    ios_base::sync_with_stdio(0);
    //freopen("KEK.inp", "r", stdin);
    //freopen("KEK.out", "w", stdout);
    cin.tie(0);
    process();
}
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