oj.uz

Submission #888400

# Submission time Handle Problem Language Result Execution time Memory
888400 2023-12-17T09:19:22 Z pcc Bootfall (IZhO17_bootfall) C++14
100 / 100
 911 ms 8472 KB 
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,popcnt")

#define ll long long
#define pll pair<ll,ll>
#define pii pair<int,int>
#define fs first
#define sc second
#define tlll tuple<ll,ll,ll>
mt19937 seed(time(NULL));
#define rnd(l,r) uniform_int_distribution<int>(l,r)(seed)

const int mxn = 510;
const int C = mxn*mxn;
int mod = 998244353;
int arr[mxn];
int dp[C];
int del[C];
int n;
int sum = 0;
bitset<C> able;
set<int> ans;

inline int mad(int a,int b){
	a += b;
	return a>=mod?a-mod:a;
}
inline int mub(int a,int b){
	return mad(a,mod-b);
}

inline bool check(int now,int tsum){
	if(sum&1)return false;
	if(!dp[sum>>1])return false;
	if(tsum&1)return false;
	if(now+now>tsum)return false;
	if(!del[tsum>>1])return false;
	return true;
}

inline void relax(int tar){
	mod = tar;
	memset(dp,0,sizeof(dp));
	dp[0] = 1;
	able.set();
	for(int i = 1;i<=n;i++){
		for(int j = C-1;j>=arr[i];j--)dp[j] = mad(dp[j],dp[j-arr[i]]);
	}
	for(int i = 1;i<=n;i++){
		for(int j = 0;j<C;j++)del[j] = dp[j];
		for(int j = arr[i];j<C;j++)del[j] = mub(del[j],del[j-arr[i]]);
		for(int j = 1;j<=sum;j++){
			if(!check(j,sum-arr[i]+j))able[j] = false;
		}
	}
	for(int j = 1;j<=sum;j++)if(able[j])ans.insert(j);
}

int main(){
	ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	cin>>n;
	dp[0] = 1;
	for(int i = 1;i<=n;i++){
		cin>>arr[i];
		sum += arr[i];
	}
	int lim = CLOCKS_PER_SEC*0.9;
	int st = clock();

	relax((int)1e9+7);
	relax((int)712271227);
	//relax((int)1e8+7);
	//relax(113);
	relax(998244353);
	relax(101010111);
	const int inf = 1e9+10;
	//cout<<rnd(0,inf);
	//if(n>350)while(clock()-st<=lim)relax(rnd(0,inf));


	/*
	for(int i = 0;i<=10;i++)cout<<dp[i]<<' ';cout<<endl;
	cout<<sum<<endl;
	cout<<endl;
	for(int i = 1;i<=n;i++){
		for(int j = 0;j<=10;j++)cout<<del[i][j]<<' ';cout<<endl;
	}
	sort(ans.begin(),ans.end());
	ans.erase(unique(ans.begin(),ans.end()),ans.end());
   */

	cout<<ans.size()<<'\n';
	for(auto &i:ans)cout<<i<<' ';
	return 0;
}

Compilation message

bootfall.cpp: In function 'int main()':
bootfall.cpp:69:6: warning: unused variable 'lim' [-Wunused-variable]
   69 |  int lim = CLOCKS_PER_SEC*0.9;
      |      ^~~
bootfall.cpp:70:6: warning: unused variable 'st' [-Wunused-variable]
   70 |  int st = clock();
      |      ^~
bootfall.cpp:78:12: warning: unused variable 'inf' [-Wunused-variable]
   78 |  const int inf = 1e9+10;
      |            ^~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 2804 KB Output is correct
2 Correct 10 ms 2532 KB Output is correct
3 Correct 8 ms 2524 KB Output is correct
4 Correct 4 ms 2396 KB Output is correct
5 Correct 12 ms 2396 KB Output is correct
6 Correct 11 ms 2396 KB Output is correct
7 Correct 6 ms 2288 KB Output is correct
8 Correct 10 ms 2396 KB Output is correct
9 Correct 9 ms 2396 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 2804 KB Output is correct
2 Correct 10 ms 2532 KB Output is correct
3 Correct 8 ms 2524 KB Output is correct
4 Correct 4 ms 2396 KB Output is correct
5 Correct 12 ms 2396 KB Output is correct
6 Correct 11 ms 2396 KB Output is correct
7 Correct 6 ms 2288 KB Output is correct
8 Correct 10 ms 2396 KB Output is correct
9 Correct 9 ms 2396 KB Output is correct
10 Correct 34 ms 2396 KB Output is correct
11 Correct 55 ms 2396 KB Output is correct
12 Correct 40 ms 2396 KB Output is correct
13 Correct 44 ms 2640 KB Output is correct
14 Correct 45 ms 2396 KB Output is correct
15 Correct 52 ms 2396 KB Output is correct
16 Correct 58 ms 2396 KB Output is correct
17 Correct 29 ms 2396 KB Output is correct
18 Correct 37 ms 2396 KB Output is correct
19 Correct 43 ms 2392 KB Output is correct
20 Correct 30 ms 2396 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 2804 KB Output is correct
2 Correct 10 ms 2532 KB Output is correct
3 Correct 8 ms 2524 KB Output is correct
4 Correct 4 ms 2396 KB Output is correct
5 Correct 12 ms 2396 KB Output is correct
6 Correct 11 ms 2396 KB Output is correct
7 Correct 6 ms 2288 KB Output is correct
8 Correct 10 ms 2396 KB Output is correct
9 Correct 9 ms 2396 KB Output is correct
10 Correct 34 ms 2396 KB Output is correct
11 Correct 55 ms 2396 KB Output is correct
12 Correct 40 ms 2396 KB Output is correct
13 Correct 44 ms 2640 KB Output is correct
14 Correct 45 ms 2396 KB Output is correct
15 Correct 52 ms 2396 KB Output is correct
16 Correct 58 ms 2396 KB Output is correct
17 Correct 29 ms 2396 KB Output is correct
18 Correct 37 ms 2396 KB Output is correct
19 Correct 43 ms 2392 KB Output is correct
20 Correct 30 ms 2396 KB Output is correct
21 Correct 60 ms 2396 KB Output is correct
22 Correct 71 ms 2580 KB Output is correct
23 Correct 51 ms 2552 KB Output is correct
24 Correct 95 ms 2612 KB Output is correct
25 Correct 66 ms 2652 KB Output is correct
26 Correct 72 ms 2660 KB Output is correct
27 Correct 71 ms 2396 KB Output is correct
28 Correct 72 ms 2396 KB Output is correct
29 Correct 72 ms 2540 KB Output is correct
30 Correct 86 ms 2396 KB Output is correct
31 Correct 70 ms 2652 KB Output is correct
32 Correct 96 ms 2396 KB Output is correct
33 Correct 73 ms 2392 KB Output is correct
34 Correct 73 ms 2508 KB Output is correct
35 Correct 74 ms 2508 KB Output is correct
36 Correct 103 ms 2608 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 2804 KB Output is correct
2 Correct 10 ms 2532 KB Output is correct
3 Correct 8 ms 2524 KB Output is correct
4 Correct 4 ms 2396 KB Output is correct
5 Correct 12 ms 2396 KB Output is correct
6 Correct 11 ms 2396 KB Output is correct
7 Correct 6 ms 2288 KB Output is correct
8 Correct 10 ms 2396 KB Output is correct
9 Correct 9 ms 2396 KB Output is correct
10 Correct 34 ms 2396 KB Output is correct
11 Correct 55 ms 2396 KB Output is correct
12 Correct 40 ms 2396 KB Output is correct
13 Correct 44 ms 2640 KB Output is correct
14 Correct 45 ms 2396 KB Output is correct
15 Correct 52 ms 2396 KB Output is correct
16 Correct 58 ms 2396 KB Output is correct
17 Correct 29 ms 2396 KB Output is correct
18 Correct 37 ms 2396 KB Output is correct
19 Correct 43 ms 2392 KB Output is correct
20 Correct 30 ms 2396 KB Output is correct
21 Correct 60 ms 2396 KB Output is correct
22 Correct 71 ms 2580 KB Output is correct
23 Correct 51 ms 2552 KB Output is correct
24 Correct 95 ms 2612 KB Output is correct
25 Correct 66 ms 2652 KB Output is correct
26 Correct 72 ms 2660 KB Output is correct
27 Correct 71 ms 2396 KB Output is correct
28 Correct 72 ms 2396 KB Output is correct
29 Correct 72 ms 2540 KB Output is correct
30 Correct 86 ms 2396 KB Output is correct
31 Correct 70 ms 2652 KB Output is correct
32 Correct 96 ms 2396 KB Output is correct
33 Correct 73 ms 2392 KB Output is correct
34 Correct 73 ms 2508 KB Output is correct
35 Correct 74 ms 2508 KB Output is correct
36 Correct 103 ms 2608 KB Output is correct
37 Correct 150 ms 2896 KB Output is correct
38 Correct 151 ms 2896 KB Output is correct
39 Correct 288 ms 2396 KB Output is correct
40 Correct 244 ms 3152 KB Output is correct
41 Correct 333 ms 2764 KB Output is correct
42 Correct 229 ms 3196 KB Output is correct
43 Correct 226 ms 3664 KB Output is correct
44 Correct 232 ms 3664 KB Output is correct
45 Correct 232 ms 3664 KB Output is correct
46 Correct 258 ms 2500 KB Output is correct
47 Correct 226 ms 3256 KB Output is correct
48 Correct 250 ms 3416 KB Output is correct
49 Correct 266 ms 2772 KB Output is correct
50 Correct 233 ms 3300 KB Output is correct
51 Correct 239 ms 2388 KB Output is correct
52 Correct 272 ms 4036 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 2804 KB Output is correct
2 Correct 10 ms 2532 KB Output is correct
3 Correct 8 ms 2524 KB Output is correct
4 Correct 4 ms 2396 KB Output is correct
5 Correct 12 ms 2396 KB Output is correct
6 Correct 11 ms 2396 KB Output is correct
7 Correct 6 ms 2288 KB Output is correct
8 Correct 10 ms 2396 KB Output is correct
9 Correct 9 ms 2396 KB Output is correct
10 Correct 34 ms 2396 KB Output is correct
11 Correct 55 ms 2396 KB Output is correct
12 Correct 40 ms 2396 KB Output is correct
13 Correct 44 ms 2640 KB Output is correct
14 Correct 45 ms 2396 KB Output is correct
15 Correct 52 ms 2396 KB Output is correct
16 Correct 58 ms 2396 KB Output is correct
17 Correct 29 ms 2396 KB Output is correct
18 Correct 37 ms 2396 KB Output is correct
19 Correct 43 ms 2392 KB Output is correct
20 Correct 30 ms 2396 KB Output is correct
21 Correct 60 ms 2396 KB Output is correct
22 Correct 71 ms 2580 KB Output is correct
23 Correct 51 ms 2552 KB Output is correct
24 Correct 95 ms 2612 KB Output is correct
25 Correct 66 ms 2652 KB Output is correct
26 Correct 72 ms 2660 KB Output is correct
27 Correct 71 ms 2396 KB Output is correct
28 Correct 72 ms 2396 KB Output is correct
29 Correct 72 ms 2540 KB Output is correct
30 Correct 86 ms 2396 KB Output is correct
31 Correct 70 ms 2652 KB Output is correct
32 Correct 96 ms 2396 KB Output is correct
33 Correct 73 ms 2392 KB Output is correct
34 Correct 73 ms 2508 KB Output is correct
35 Correct 74 ms 2508 KB Output is correct
36 Correct 103 ms 2608 KB Output is correct
37 Correct 150 ms 2896 KB Output is correct
38 Correct 151 ms 2896 KB Output is correct
39 Correct 288 ms 2396 KB Output is correct
40 Correct 244 ms 3152 KB Output is correct
41 Correct 333 ms 2764 KB Output is correct
42 Correct 229 ms 3196 KB Output is correct
43 Correct 226 ms 3664 KB Output is correct
44 Correct 232 ms 3664 KB Output is correct
45 Correct 232 ms 3664 KB Output is correct
46 Correct 258 ms 2500 KB Output is correct
47 Correct 226 ms 3256 KB Output is correct
48 Correct 250 ms 3416 KB Output is correct
49 Correct 266 ms 2772 KB Output is correct
50 Correct 233 ms 3300 KB Output is correct
51 Correct 239 ms 2388 KB Output is correct
52 Correct 272 ms 4036 KB Output is correct
53 Correct 263 ms 3552 KB Output is correct
54 Correct 325 ms 3924 KB Output is correct
55 Correct 418 ms 4832 KB Output is correct
56 Correct 285 ms 3800 KB Output is correct
57 Correct 431 ms 5200 KB Output is correct
58 Correct 356 ms 3928 KB Output is correct
59 Correct 352 ms 4432 KB Output is correct
60 Correct 388 ms 2644 KB Output is correct
61 Correct 377 ms 4692 KB Output is correct
62 Correct 356 ms 4944 KB Output is correct
63 Correct 376 ms 4804 KB Output is correct
64 Correct 367 ms 5204 KB Output is correct
65 Correct 338 ms 2384 KB Output is correct
66 Correct 348 ms 2756 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 2804 KB Output is correct
2 Correct 10 ms 2532 KB Output is correct
3 Correct 8 ms 2524 KB Output is correct
4 Correct 4 ms 2396 KB Output is correct
5 Correct 12 ms 2396 KB Output is correct
6 Correct 11 ms 2396 KB Output is correct
7 Correct 6 ms 2288 KB Output is correct
8 Correct 10 ms 2396 KB Output is correct
9 Correct 9 ms 2396 KB Output is correct
10 Correct 34 ms 2396 KB Output is correct
11 Correct 55 ms 2396 KB Output is correct
12 Correct 40 ms 2396 KB Output is correct
13 Correct 44 ms 2640 KB Output is correct
14 Correct 45 ms 2396 KB Output is correct
15 Correct 52 ms 2396 KB Output is correct
16 Correct 58 ms 2396 KB Output is correct
17 Correct 29 ms 2396 KB Output is correct
18 Correct 37 ms 2396 KB Output is correct
19 Correct 43 ms 2392 KB Output is correct
20 Correct 30 ms 2396 KB Output is correct
21 Correct 60 ms 2396 KB Output is correct
22 Correct 71 ms 2580 KB Output is correct
23 Correct 51 ms 2552 KB Output is correct
24 Correct 95 ms 2612 KB Output is correct
25 Correct 66 ms 2652 KB Output is correct
26 Correct 72 ms 2660 KB Output is correct
27 Correct 71 ms 2396 KB Output is correct
28 Correct 72 ms 2396 KB Output is correct
29 Correct 72 ms 2540 KB Output is correct
30 Correct 86 ms 2396 KB Output is correct
31 Correct 70 ms 2652 KB Output is correct
32 Correct 96 ms 2396 KB Output is correct
33 Correct 73 ms 2392 KB Output is correct
34 Correct 73 ms 2508 KB Output is correct
35 Correct 74 ms 2508 KB Output is correct
36 Correct 103 ms 2608 KB Output is correct
37 Correct 150 ms 2896 KB Output is correct
38 Correct 151 ms 2896 KB Output is correct
39 Correct 288 ms 2396 KB Output is correct
40 Correct 244 ms 3152 KB Output is correct
41 Correct 333 ms 2764 KB Output is correct
42 Correct 229 ms 3196 KB Output is correct
43 Correct 226 ms 3664 KB Output is correct
44 Correct 232 ms 3664 KB Output is correct
45 Correct 232 ms 3664 KB Output is correct
46 Correct 258 ms 2500 KB Output is correct
47 Correct 226 ms 3256 KB Output is correct
48 Correct 250 ms 3416 KB Output is correct
49 Correct 266 ms 2772 KB Output is correct
50 Correct 233 ms 3300 KB Output is correct
51 Correct 239 ms 2388 KB Output is correct
52 Correct 272 ms 4036 KB Output is correct
53 Correct 263 ms 3552 KB Output is correct
54 Correct 325 ms 3924 KB Output is correct
55 Correct 418 ms 4832 KB Output is correct
56 Correct 285 ms 3800 KB Output is correct
57 Correct 431 ms 5200 KB Output is correct
58 Correct 356 ms 3928 KB Output is correct
59 Correct 352 ms 4432 KB Output is correct
60 Correct 388 ms 2644 KB Output is correct
61 Correct 377 ms 4692 KB Output is correct
62 Correct 356 ms 4944 KB Output is correct
63 Correct 376 ms 4804 KB Output is correct
64 Correct 367 ms 5204 KB Output is correct
65 Correct 338 ms 2384 KB Output is correct
66 Correct 348 ms 2756 KB Output is correct
67 Correct 432 ms 4532 KB Output is correct
68 Correct 790 ms 2504 KB Output is correct
69 Correct 820 ms 7816 KB Output is correct
70 Correct 644 ms 5764 KB Output is correct
71 Correct 635 ms 5716 KB Output is correct
72 Correct 608 ms 2384 KB Output is correct
73 Correct 601 ms 2500 KB Output is correct
74 Correct 837 ms 8140 KB Output is correct
75 Correct 726 ms 7444 KB Output is correct
76 Correct 911 ms 7840 KB Output is correct
77 Correct 881 ms 8472 KB Output is correct