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답안 #742384

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
742384 2023-05-16T08:04:16 Z jamezzz Tortoise (CEOI21_tortoise) C++17
48 / 100
 3000 ms 393172 KB 
#include <bits/stdc++.h>
using namespace std;

#define sf scanf
#define pf printf
#define pb push_back
#define INF 1023456789

#define maxn 5005

int n,a[maxn],pv[maxn],nx[maxn];
vector<int> shop,play;
int memo[2*maxn][maxn][2];

int dp(int t,int i,int hv){
	if(i>=shop.size()||t>2*n)return 0;
	if(memo[t][i][hv]!=-1)return memo[t][i][hv];
	
	int sd=INF;
	if(pv[i]!=-1)sd=min(sd,shop[i]-play[pv[i]]);
	if(nx[i]<play.size())sd=min(sd,play[nx[i]]-shop[i]);
	
	int ans=0;
	
	//transition 0: don't do anything
	if(hv==0)ans=max(ans,dp(t+shop[i+1]-shop[i],i+1,0));
	else{
		ans=max(ans,dp(t+shop[i+1]-shop[i]+2*sd,i+1,0));
		if(nx[i]<play.size()&&play[nx[i]]<shop[i+1]){
			ans=max(ans,dp(t+shop[i+1]-shop[i],i+1,0));
		}
		ans=max(ans,dp(t+shop[i+1]-shop[i],i+1,1));
	}
	
	for(int x=1;x<=a[shop[i]];++x){
		int add=0;
		if(hv)add=hv*2*sd;
		
		if(t+2*(x-1)*sd+add>2*shop[i])break;
		
		//transition 1: back and forth x times
		ans=max(ans,dp(t+2*x*sd+shop[i+1]-shop[i]+add,i+1,0)+x);
		
		//transition 2: back and forth x-1 times, carry 1 to a playground in between i and i+1
		if(nx[i]<play.size()&&play[nx[i]]<shop[i+1]){
			ans=max(ans,dp(t+2*(x-1)*sd+shop[i+1]-shop[i]+add,i+1,0)+x);
		}
		
		//transition 3: back and forth x-1 times, carry 1 to i+1, then let i+1 settle that
		ans=max(ans,dp(t+2*(x-1)*sd+shop[i+1]-shop[i]+add,i+1,1)+x);
	}
	
	//pf("dp %d %d %d: %d\n",t,i,hv,ans);
	return memo[t][i][hv]=ans;
}

int main(){
	sf("%d",&n);
	int sm=0;
	for(int i=0;i<n;++i){
		sf("%d",&a[i]);
		if(a[i]==-1)play.pb(i);
		else shop.pb(i),sm+=a[i];
	}
	if(shop.size()==0){
		pf("0\n");
		return 0;
	}
	shop.pb(n);
	int cur=-1;
	for(int x=0;x<shop.size();++x){
		int i=shop[x];
		while(cur+1<play.size()&&play[cur+1]<i)++cur;
		pv[x]=cur;
		nx[x]=cur+1;
	}
	memset(memo,-1,sizeof memo);
	pf("%d\n",sm-dp(shop[0],0,0));
}

Compilation message

tortoise.cpp: In function 'int dp(int, int, int)':
tortoise.cpp:16:6: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   16 |  if(i>=shop.size()||t>2*n)return 0;
      |     ~^~~~~~~~~~~~~
tortoise.cpp:21:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   21 |  if(nx[i]<play.size())sd=min(sd,play[nx[i]]-shop[i]);
      |     ~~~~~^~~~~~~~~~~~
tortoise.cpp:29:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   29 |   if(nx[i]<play.size()&&play[nx[i]]<shop[i+1]){
      |      ~~~~~^~~~~~~~~~~~
tortoise.cpp:45:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   45 |   if(nx[i]<play.size()&&play[nx[i]]<shop[i+1]){
      |      ~~~~~^~~~~~~~~~~~
tortoise.cpp: In function 'int main()':
tortoise.cpp:71:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |  for(int x=0;x<shop.size();++x){
      |              ~^~~~~~~~~~~~
tortoise.cpp:73:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   73 |   while(cur+1<play.size()&&play[cur+1]<i)++cur;
      |         ~~~~~^~~~~~~~~~~~
tortoise.cpp:58:4: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   58 |  sf("%d",&n);
      |    ^
tortoise.cpp:61:5: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   61 |   sf("%d",&a[i]);
      |     ^

Subtask #1
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 165 ms 392436 KB Output is correct
2 Correct 150 ms 392448 KB Output is correct
3 Correct 153 ms 392476 KB Output is correct
4 Correct 162 ms 392548 KB Output is correct
5 Correct 150 ms 392472 KB Output is correct
6 Correct 154 ms 392412 KB Output is correct
7 Correct 150 ms 392468 KB Output is correct
8 Correct 158 ms 392460 KB Output is correct
9 Correct 155 ms 392416 KB Output is correct
10 Correct 151 ms 392376 KB Output is correct
11 Correct 156 ms 392396 KB Output is correct
12 Correct 155 ms 392464 KB Output is correct
13 Correct 160 ms 392412 KB Output is correct
14 Correct 146 ms 392416 KB Output is correct
15 Correct 150 ms 392352 KB Output is correct
16 Correct 144 ms 392408 KB Output is correct
17 Correct 150 ms 392420 KB Output is correct
18 Correct 154 ms 392436 KB Output is correct
19 Correct 153 ms 392492 KB Output is correct
20 Correct 145 ms 392508 KB Output is correct
21 Correct 143 ms 392364 KB Output is correct
22 Correct 143 ms 392476 KB Output is correct
23 Correct 150 ms 392364 KB Output is correct
24 Correct 147 ms 392456 KB Output is correct
25 Correct 155 ms 392396 KB Output is correct
26 Correct 156 ms 392376 KB Output is correct

Subtask #2
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 165 ms 392436 KB Output is correct
2 Correct 150 ms 392448 KB Output is correct
3 Correct 153 ms 392476 KB Output is correct
4 Correct 162 ms 392548 KB Output is correct
5 Correct 150 ms 392472 KB Output is correct
6 Correct 154 ms 392412 KB Output is correct
7 Correct 150 ms 392468 KB Output is correct
8 Correct 158 ms 392460 KB Output is correct
9 Correct 155 ms 392416 KB Output is correct
10 Correct 151 ms 392376 KB Output is correct
11 Correct 156 ms 392396 KB Output is correct
12 Correct 155 ms 392464 KB Output is correct
13 Correct 160 ms 392412 KB Output is correct
14 Correct 146 ms 392416 KB Output is correct
15 Correct 150 ms 392352 KB Output is correct
16 Correct 144 ms 392408 KB Output is correct
17 Correct 150 ms 392420 KB Output is correct
18 Correct 154 ms 392436 KB Output is correct
19 Correct 153 ms 392492 KB Output is correct
20 Correct 145 ms 392508 KB Output is correct
21 Correct 143 ms 392364 KB Output is correct
22 Correct 143 ms 392476 KB Output is correct
23 Correct 150 ms 392364 KB Output is correct
24 Correct 147 ms 392456 KB Output is correct
25 Correct 155 ms 392396 KB Output is correct
26 Correct 156 ms 392376 KB Output is correct
27 Correct 152 ms 392484 KB Output is correct
28 Correct 171 ms 392388 KB Output is correct
29 Correct 151 ms 392468 KB Output is correct
30 Correct 151 ms 392440 KB Output is correct
31 Correct 156 ms 392408 KB Output is correct
32 Correct 177 ms 392492 KB Output is correct
33 Correct 155 ms 392508 KB Output is correct
34 Correct 151 ms 392480 KB Output is correct
35 Correct 150 ms 392484 KB Output is correct
36 Correct 158 ms 392496 KB Output is correct
37 Correct 155 ms 392424 KB Output is correct
38 Correct 150 ms 392388 KB Output is correct
39 Correct 148 ms 392488 KB Output is correct
40 Correct 146 ms 392468 KB Output is correct
41 Correct 161 ms 392412 KB Output is correct

Subtask #3
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 165 ms 392436 KB Output is correct
2 Correct 150 ms 392448 KB Output is correct
3 Correct 153 ms 392476 KB Output is correct
4 Correct 162 ms 392548 KB Output is correct
5 Correct 150 ms 392472 KB Output is correct
6 Correct 154 ms 392412 KB Output is correct
7 Correct 150 ms 392468 KB Output is correct
8 Correct 158 ms 392460 KB Output is correct
9 Correct 155 ms 392416 KB Output is correct
10 Correct 151 ms 392376 KB Output is correct
11 Correct 156 ms 392396 KB Output is correct
12 Correct 155 ms 392464 KB Output is correct
13 Correct 160 ms 392412 KB Output is correct
14 Correct 146 ms 392416 KB Output is correct
15 Correct 150 ms 392352 KB Output is correct
16 Correct 144 ms 392408 KB Output is correct
17 Correct 150 ms 392420 KB Output is correct
18 Correct 154 ms 392436 KB Output is correct
19 Correct 153 ms 392492 KB Output is correct
20 Correct 145 ms 392508 KB Output is correct
21 Correct 143 ms 392364 KB Output is correct
22 Correct 143 ms 392476 KB Output is correct
23 Correct 150 ms 392364 KB Output is correct
24 Correct 147 ms 392456 KB Output is correct
25 Correct 155 ms 392396 KB Output is correct
26 Correct 156 ms 392376 KB Output is correct
27 Correct 152 ms 392484 KB Output is correct
28 Correct 171 ms 392388 KB Output is correct
29 Correct 151 ms 392468 KB Output is correct
30 Correct 151 ms 392440 KB Output is correct
31 Correct 156 ms 392408 KB Output is correct
32 Correct 177 ms 392492 KB Output is correct
33 Correct 155 ms 392508 KB Output is correct
34 Correct 151 ms 392480 KB Output is correct
35 Correct 150 ms 392484 KB Output is correct
36 Correct 158 ms 392496 KB Output is correct
37 Correct 155 ms 392424 KB Output is correct
38 Correct 150 ms 392388 KB Output is correct
39 Correct 148 ms 392488 KB Output is correct
40 Correct 146 ms 392468 KB Output is correct
41 Correct 161 ms 392412 KB Output is correct
42 Correct 150 ms 392388 KB Output is correct
43 Correct 206 ms 392428 KB Output is correct
44 Correct 146 ms 392392 KB Output is correct
45 Correct 164 ms 392396 KB Output is correct
46 Correct 160 ms 392484 KB Output is correct
47 Correct 168 ms 392400 KB Output is correct
48 Correct 146 ms 392564 KB Output is correct
49 Correct 148 ms 392396 KB Output is correct
50 Correct 171 ms 392400 KB Output is correct
51 Correct 150 ms 392500 KB Output is correct
52 Correct 153 ms 392396 KB Output is correct
53 Correct 190 ms 392396 KB Output is correct
54 Correct 166 ms 392612 KB Output is correct
55 Correct 150 ms 392452 KB Output is correct
56 Correct 146 ms 392484 KB Output is correct
57 Correct 151 ms 392428 KB Output is correct
58 Correct 152 ms 392416 KB Output is correct
59 Correct 150 ms 392508 KB Output is correct
60 Correct 151 ms 392504 KB Output is correct
61 Correct 158 ms 392516 KB Output is correct
62 Correct 150 ms 392504 KB Output is correct

Subtask #4
0 / 25.0

# 결과 실행 시간 메모리 Grader output
1 Correct 165 ms 392436 KB Output is correct
2 Correct 150 ms 392448 KB Output is correct
3 Correct 153 ms 392476 KB Output is correct
4 Correct 162 ms 392548 KB Output is correct
5 Correct 150 ms 392472 KB Output is correct
6 Correct 154 ms 392412 KB Output is correct
7 Correct 150 ms 392468 KB Output is correct
8 Correct 158 ms 392460 KB Output is correct
9 Correct 155 ms 392416 KB Output is correct
10 Correct 151 ms 392376 KB Output is correct
11 Correct 156 ms 392396 KB Output is correct
12 Correct 155 ms 392464 KB Output is correct
13 Correct 160 ms 392412 KB Output is correct
14 Correct 146 ms 392416 KB Output is correct
15 Correct 150 ms 392352 KB Output is correct
16 Correct 144 ms 392408 KB Output is correct
17 Correct 150 ms 392420 KB Output is correct
18 Correct 154 ms 392436 KB Output is correct
19 Correct 153 ms 392492 KB Output is correct
20 Correct 145 ms 392508 KB Output is correct
21 Correct 143 ms 392364 KB Output is correct
22 Correct 143 ms 392476 KB Output is correct
23 Correct 150 ms 392364 KB Output is correct
24 Correct 147 ms 392456 KB Output is correct
25 Correct 155 ms 392396 KB Output is correct
26 Correct 156 ms 392376 KB Output is correct
27 Correct 152 ms 392484 KB Output is correct
28 Correct 171 ms 392388 KB Output is correct
29 Correct 151 ms 392468 KB Output is correct
30 Correct 151 ms 392440 KB Output is correct
31 Correct 156 ms 392408 KB Output is correct
32 Correct 177 ms 392492 KB Output is correct
33 Correct 155 ms 392508 KB Output is correct
34 Correct 151 ms 392480 KB Output is correct
35 Correct 150 ms 392484 KB Output is correct
36 Correct 158 ms 392496 KB Output is correct
37 Correct 155 ms 392424 KB Output is correct
38 Correct 150 ms 392388 KB Output is correct
39 Correct 148 ms 392488 KB Output is correct
40 Correct 146 ms 392468 KB Output is correct
41 Correct 161 ms 392412 KB Output is correct
42 Correct 150 ms 392388 KB Output is correct
43 Correct 206 ms 392428 KB Output is correct
44 Correct 146 ms 392392 KB Output is correct
45 Correct 164 ms 392396 KB Output is correct
46 Correct 160 ms 392484 KB Output is correct
47 Correct 168 ms 392400 KB Output is correct
48 Correct 146 ms 392564 KB Output is correct
49 Correct 148 ms 392396 KB Output is correct
50 Correct 171 ms 392400 KB Output is correct
51 Correct 150 ms 392500 KB Output is correct
52 Correct 153 ms 392396 KB Output is correct
53 Correct 190 ms 392396 KB Output is correct
54 Correct 166 ms 392612 KB Output is correct
55 Correct 150 ms 392452 KB Output is correct
56 Correct 146 ms 392484 KB Output is correct
57 Correct 151 ms 392428 KB Output is correct
58 Correct 152 ms 392416 KB Output is correct
59 Correct 150 ms 392508 KB Output is correct
60 Correct 151 ms 392504 KB Output is correct
61 Correct 158 ms 392516 KB Output is correct
62 Correct 150 ms 392504 KB Output is correct
63 Correct 631 ms 393044 KB Output is correct
64 Correct 1143 ms 393164 KB Output is correct
65 Correct 734 ms 393148 KB Output is correct
66 Correct 814 ms 393060 KB Output is correct
67 Correct 772 ms 393172 KB Output is correct
68 Correct 759 ms 393164 KB Output is correct
69 Correct 924 ms 393124 KB Output is correct
70 Correct 852 ms 393124 KB Output is correct
71 Execution timed out 3079 ms 393148 KB Time limit exceeded
72 Halted 0 ms 0 KB -

Subtask #5
0 / 27.0

# 결과 실행 시간 메모리 Grader output
1 Correct 165 ms 392436 KB Output is correct
2 Correct 150 ms 392448 KB Output is correct
3 Correct 153 ms 392476 KB Output is correct
4 Correct 162 ms 392548 KB Output is correct
5 Correct 150 ms 392472 KB Output is correct
6 Correct 154 ms 392412 KB Output is correct
7 Correct 150 ms 392468 KB Output is correct
8 Correct 158 ms 392460 KB Output is correct
9 Correct 155 ms 392416 KB Output is correct
10 Correct 151 ms 392376 KB Output is correct
11 Correct 156 ms 392396 KB Output is correct
12 Correct 155 ms 392464 KB Output is correct
13 Correct 160 ms 392412 KB Output is correct
14 Correct 146 ms 392416 KB Output is correct
15 Correct 150 ms 392352 KB Output is correct
16 Correct 144 ms 392408 KB Output is correct
17 Correct 150 ms 392420 KB Output is correct
18 Correct 154 ms 392436 KB Output is correct
19 Correct 153 ms 392492 KB Output is correct
20 Correct 145 ms 392508 KB Output is correct
21 Correct 143 ms 392364 KB Output is correct
22 Correct 143 ms 392476 KB Output is correct
23 Correct 150 ms 392364 KB Output is correct
24 Correct 147 ms 392456 KB Output is correct
25 Correct 155 ms 392396 KB Output is correct
26 Correct 156 ms 392376 KB Output is correct
27 Correct 152 ms 392484 KB Output is correct
28 Correct 171 ms 392388 KB Output is correct
29 Correct 151 ms 392468 KB Output is correct
30 Correct 151 ms 392440 KB Output is correct
31 Correct 156 ms 392408 KB Output is correct
32 Correct 177 ms 392492 KB Output is correct
33 Correct 155 ms 392508 KB Output is correct
34 Correct 151 ms 392480 KB Output is correct
35 Correct 150 ms 392484 KB Output is correct
36 Correct 158 ms 392496 KB Output is correct
37 Correct 155 ms 392424 KB Output is correct
38 Correct 150 ms 392388 KB Output is correct
39 Correct 148 ms 392488 KB Output is correct
40 Correct 146 ms 392468 KB Output is correct
41 Correct 161 ms 392412 KB Output is correct
42 Correct 150 ms 392388 KB Output is correct
43 Correct 206 ms 392428 KB Output is correct
44 Correct 146 ms 392392 KB Output is correct
45 Correct 164 ms 392396 KB Output is correct
46 Correct 160 ms 392484 KB Output is correct
47 Correct 168 ms 392400 KB Output is correct
48 Correct 146 ms 392564 KB Output is correct
49 Correct 148 ms 392396 KB Output is correct
50 Correct 171 ms 392400 KB Output is correct
51 Correct 150 ms 392500 KB Output is correct
52 Correct 153 ms 392396 KB Output is correct
53 Correct 190 ms 392396 KB Output is correct
54 Correct 166 ms 392612 KB Output is correct
55 Correct 150 ms 392452 KB Output is correct
56 Correct 146 ms 392484 KB Output is correct
57 Correct 151 ms 392428 KB Output is correct
58 Correct 152 ms 392416 KB Output is correct
59 Correct 150 ms 392508 KB Output is correct
60 Correct 151 ms 392504 KB Output is correct
61 Correct 158 ms 392516 KB Output is correct
62 Correct 150 ms 392504 KB Output is correct
63 Correct 631 ms 393044 KB Output is correct
64 Correct 1143 ms 393164 KB Output is correct
65 Correct 734 ms 393148 KB Output is correct
66 Correct 814 ms 393060 KB Output is correct
67 Correct 772 ms 393172 KB Output is correct
68 Correct 759 ms 393164 KB Output is correct
69 Correct 924 ms 393124 KB Output is correct
70 Correct 852 ms 393124 KB Output is correct
71 Execution timed out 3079 ms 393148 KB Time limit exceeded
72 Halted 0 ms 0 KB -