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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#249074#7567. Joining CatsUSP_USP_USP#ML 1ms9572kbC++202.8kb2023-11-12 00:25:052023-11-12 00:25:05

Judging History

你现在查看的是最新测评结果

  • [2023-11-12 00:25:05]
  • 评测
  • 测评结果:ML
  • 用时:1ms
  • 内存:9572kb
  • [2023-11-12 00:25:05]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define all(x) x.begin(), x.end()
#define int int64_t
#define pb push_back

void dbg_out() { cerr << endl; }
template <typename H, typename... T>
void dbg_out(H h, T... t) { cerr << ' ' << h; dbg_out(t...); }
#define dbg(...)// { cerr << #__VA_ARGS__ << ':'; dbg_out(__VA_ARGS__); }

const int MAXN = 5e3+5;
int dp[MAXN][MAXN];
int maxin[MAXN][MAXN];
int matf[MAXN][MAXN];

const int INF = 1e9;

void solve() {
	int n,k;
	cin >> n >> k;
	for(int i = 0;  i< n; i++){
		for(int j = 0; j < n; j++){
			dp[i][j] = INF;
		}
		dp[i][i] = 0;
	}
	vector<int> pl(n);
	vector<int> pr(n);
	for(int i = 0; i < n; i++){
		pl[i] = i;
		pr[i] = i;
	}
	vector<int> a(n);
	for(int i = 0; i < n; i++){
		cin >> a[i];
	}
	vector<int> s(k);
	for(int i = 0; i < k; i++){
		cin >> s[i];
	}
	for(int i = 0; i < k; i++){
		maxin[i][i] = s[i];
		for(int j = i+1; j < k; j++){
			maxin[i][j] = max(maxin[i][j-1],s[j]);
		}
	}
	for(int i= 0 ; i < n; i++){
		matf[i][k] = INF;
		for(int j = k-1; j >= 0; j--){
			matf[i][j] = matf[i][j+1];
			if(a[i] <= s[j]) matf[i][j] = j;
		}
	}
	auto pa = a;
	for(int i = 1; i < n; i++){
		pa[i] += pa[i-1];
	}

	auto sumin = [&](int i, int j){
		return pa[j] - (i ? pa[i-1] : 0);
	};

	auto acha = [&](int i, int at){
		//preciso do primeiro s[j] >= a[i] e j >= at
		return matf[i][at-1]+1;
	};

	for(int len = 2; len <= n; len++){
		for(int i = 0; i <= n-len; i++){
			int j = i+len-1;
			int at = max(dp[i][j-1],dp[i+1][j]);
			if(at >= INF){
				continue;
			}
			dbg(i,j);
			//ou é at a resposta pra i,j, ou o proximo maior que tem wi >= min(a[i],a[j])
			//testar se é at pela esqeurda
			dbg(at);
			while(pl[i]+1 < n && dp[i][pl[i]+1] <= at-1) pl[i]++;

			while(pr[j]-1 >= 0 && dp[pr[j]-1][j] <= at-1) pr[j]--;

			dbg(pl[i],pr[j]);

			vector<array<int,4>> op;
			op.pb({i,pr[j]-1,pr[j],j});
			op.pb({pl[i]+1,j,i,pl[i]});
			bool ok = false;
			for(auto [x,y,z,w] : op){
				dbg(x,y);
				int soma = sumin(x,y);
				int vdp = dp[z][w];
				if(vdp >= at) continue;
				dbg(soma,vdp,at);
				ok |= maxin[vdp][at-1] >= soma;
			}
			dbg(ok);
			if(ok){
				dp[i][j] = at;
				continue;
			}
			if(a[i] <= a[j]){
				dp[i][j] = acha(i,at+1);
			}else{
				dp[i][j] = acha(j,at+1);
			}
			dp[i][j] = min(dp[i][j],INF);
		}
	}
	for(int i = 0 ; i < n; i++){	
		for(int j = i; j < n; j++){
			//cout << dp[i][j] << ' ';
		}
		//cout << '\n';
	}
	int ans = dp[0][n-1] <= k;
	cout << (ans ? "Yes"  : "No") << '\n';
}

signed main(){
	ios::sync_with_stdio(false); cin.tie(0);
	solve();
}

/*
Makefile:
CXXFLAGS=-Wall -Wextra -Wshadow -g -pedantic -fsanitize=address,undefined -D_GLIBCXX_DEBUG -D_GLIBCXX_DEBUGPEDANTIC -std=gnu++17
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 7520kb

input:

5 2
1 1 1 1 1
2 2

output:

Yes

result:

ok answer is YES

Test #2:

score: 0
Accepted
time: 0ms
memory: 9572kb

input:

6 7
3 2 1 1 2 3
2 2 2 2 2 2 2

output:

No

result:

ok answer is NO

Test #3:

score: 0
Accepted
time: 1ms
memory: 7612kb

input:

7 4
1 2 3 4 3 2 1
3 3 3 3

output:

Yes

result:

ok answer is YES

Test #4:

score: 0
Accepted
time: 1ms
memory: 7540kb

input:

5 1
5 4 3 2 1
10

output:

Yes

result:

ok answer is YES

Test #5:

score: -100
Memory Limit Exceeded

input:

5000 5000
775487425 856128884 277783434 903422359 477267301 475103384 297595527 426167697 732858986 408894759 274205836 78265305 841664344 827278645 235744961 539622829 661053351 709331224 497285040 688977639 794889854 890450616 730989757 164925481 519732355 5132018 793806705 617096813 966338860 838...

output:

No

result: