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Submission #745400

# Submission time Handle Problem Language Result Execution time Memory
745400 2023-05-20T01:19:55 Z qwerasdfzxcl Uplifting Excursion (BOI22_vault) C++17
50 / 100
 1426 ms 3280 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
constexpr int SFT = 100100, INF = 1e9 + 100;
int n, dp[2][200200];
ll L, a[1010], b[1010];

void NO(){
	printf("impossible\n");
	exit(0);
}

ll getmin(ll v, bool flag = 0){
	ll ret = 0;
	for (int i=-n;i<=n;i++){
		ret += min(v, a[i+n]) * i;
		if (flag) b[i+n] = min(v, a[i+n]);
		v -= min(v, a[i+n]);
	}

	return ret;
}

ll getmax(ll v, bool flag = 0){
	ll ret = 0;
	for (int i=n;i>=-n;i--){
		ret += min(v, a[i+n]) * i;
		if (flag) b[i+n] = min(v, a[i+n]);
		v -= min(v, a[i+n]);
	}

	return ret;
}

ll getX(ll S, ll mS, ll pS){
	if (L < getmin(mS)) NO();
	if (L > getmax(pS)) NO();

	ll l = mS, r = S;
	ll vmn = mS;
	while(l<=r){
		ll mid = (l+r)>>1;
		if (getmin(mid) <= L) vmn = mid, l = mid+1;
		else r = mid-1;
	}

	l = pS, r = S;
	ll vmx = pS;
	while(l<=r){
		ll mid = (l+r)>>1;
		if (getmax(mid) >= L) vmx = mid, l = mid+1;
		else r = mid-1;
	}

	ll v = min(vmn, vmx);
	if (L < getmin(v) || getmax(v) < L) NO();
	return v;
}

void f(int z, int b, int c, int x, int d){
	// printf(" %d %d %d %d\n", b, c, x, d);
	if (x==0){
		for (int i=-b;i<=b;i++){
			dp[z][i+SFT] = dp[z^1][i+SFT];
			if (d<0) dp[z][i+SFT] -= c;
		}
	}

	else if (x>0){
		assert(-b+x < 0);
		for (int p=-b;p<-b+x;p++){
			list<pair<int, int>> dq;
			for (int i=p,j=0 ; i<=b ; i+=x,j++){
				while(!dq.empty() && dq.back().first+j*d >= dp[z^1][i+SFT]) dq.pop_back();
				while(!dq.empty() && j-dq.front().second > c) dq.pop_front();
				dq.emplace_back(dp[z^1][i+SFT]-j*d, j);

				dp[z][i+SFT] = dq.front().first + j*d;
			}
		}
	}

	else{
		x = -x;
		assert(b-x > 0);
		for (int p=b;p>b-x;p--){
			list<pair<int, int>> dq;
			for (int i=p,j=0 ; i>=-b ; i-=x,j++){
				while(!dq.empty() && dq.back().first+j*d >= dp[z^1][i+SFT]) dq.pop_back();
				while(!dq.empty() && dq.front().second-j > c) dq.pop_front();
				dq.emplace_back(dp[z^1][i+SFT]-j*d, j);

				dp[z][i+SFT] = dq.front().first + j*d;
			}
		}
	}

	// for (int i=-5;i<0;i++) printf("%d ", dp[z][i+SFT]);
	// printf("| ");
	// for (int i=0;i<=5;i++) printf("%d ", dp[z][i+SFT]);
	// printf("\n");
}

void solve(ll X){
	// printf("X = %lld\n", X);
	ll mn = getmin(X), mx = getmax(X);
	assert(abs(mn-L) < n || abs(mx-L) < n);
	if (abs(mn-L) >= n){
		L = -L;
		reverse(a, a+n*2+1);
		mn = getmin(X), mx = getmax(X);
	}
	getmin(X, 1);

	ll r = n*2 + 2, B = n*n + 1000;
	int z = 0;

	fill(dp[0]-B+SFT, dp[0]+B+SFT+1, INF);
	dp[0][SFT] = 0;

	for (int i=-n;i<=n;i++){
		if (b[i+n] > 0){
			z ^= 1;
			fill(dp[z]-B+SFT, dp[z]+B+SFT+1, INF);
			f(z, B, min(b[i+n], r), -i, 1);
		}
		if (b[i+n] < a[i+n]){
			z ^= 1;
			fill(dp[z]-B+SFT, dp[z]+B+SFT+1, INF);
			f(z, B, min(a[i+n]-b[i+n], r), i, -1);
		}
	}

	ll need = L-mn;
	if (dp[z][need+SFT]>INF-200200) NO();
	printf("%lld\n", X-dp[z][need+SFT]);
}

int main(){
	scanf("%d %lld", &n, &L);
	ll S = 0, mS = 0, pS = 0;
	for (int i=-n;i<=n;i++){
		scanf("%lld", a+i+n);
		S += a[i+n];
		if (i<0) mS += a[i+n];
		else if (i>0) pS += a[i+n];
	} 

	solve(getX(S, mS, pS));
}

Compilation message

vault.cpp: In function 'int main()':
vault.cpp:141:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  141 |  scanf("%d %lld", &n, &L);
      |  ~~~~~^~~~~~~~~~~~~~~~~~~
vault.cpp:144:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  144 |   scanf("%lld", a+i+n);
      |   ~~~~~^~~~~~~~~~~~~~~

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 18 ms 424 KB Output is correct
7 Incorrect 8 ms 340 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #2
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 18 ms 424 KB Output is correct
7 Incorrect 8 ms 340 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #3-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 3 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 4 ms 340 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 4 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 2 ms 340 KB Output is correct
10 Correct 3 ms 340 KB Output is correct

Subtask #3-2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 3 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 4 ms 340 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 4 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 2 ms 340 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 304 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 4 ms 340 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 3 ms 340 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 4 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 4 ms 340 KB Output is correct
24 Correct 9 ms 340 KB Output is correct
25 Correct 3 ms 340 KB Output is correct
26 Correct 7 ms 340 KB Output is correct
27 Correct 6 ms 340 KB Output is correct
28 Correct 6 ms 376 KB Output is correct

Subtask #4-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 3 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 4 ms 340 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 4 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 2 ms 340 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 1 ms 304 KB Output is correct
12 Correct 4 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 4 ms 340 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 304 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 14 ms 308 KB Output is correct
24 Correct 6 ms 340 KB Output is correct
25 Correct 11 ms 436 KB Output is correct
26 Correct 10 ms 436 KB Output is correct
27 Correct 9 ms 340 KB Output is correct
28 Correct 8 ms 432 KB Output is correct

Subtask #4-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 18 ms 424 KB Output is correct
7 Incorrect 8 ms 340 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #5-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 3 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 4 ms 340 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 4 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 2 ms 340 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 1 ms 304 KB Output is correct
12 Correct 4 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 4 ms 340 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 304 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 14 ms 308 KB Output is correct
24 Correct 6 ms 340 KB Output is correct
25 Correct 11 ms 436 KB Output is correct
26 Correct 10 ms 436 KB Output is correct
27 Correct 9 ms 340 KB Output is correct
28 Correct 8 ms 432 KB Output is correct
29 Correct 1 ms 280 KB Output is correct
30 Correct 4 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 4 ms 340 KB Output is correct
33 Correct 4 ms 340 KB Output is correct
34 Correct 4 ms 308 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 300 KB Output is correct
37 Correct 3 ms 308 KB Output is correct
38 Correct 3 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 2 ms 340 KB Output is correct
41 Correct 11 ms 432 KB Output is correct
42 Correct 5 ms 340 KB Output is correct
43 Correct 12 ms 432 KB Output is correct
44 Correct 10 ms 304 KB Output is correct
45 Correct 9 ms 436 KB Output is correct
46 Correct 7 ms 340 KB Output is correct
47 Correct 2 ms 436 KB Output is correct
48 Correct 4 ms 468 KB Output is correct
49 Correct 58 ms 560 KB Output is correct
50 Correct 26 ms 484 KB Output is correct
51 Correct 55 ms 596 KB Output is correct
52 Correct 55 ms 596 KB Output is correct
53 Correct 52 ms 596 KB Output is correct
54 Correct 59 ms 596 KB Output is correct

Subtask #5-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 18 ms 424 KB Output is correct
7 Incorrect 8 ms 340 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #6-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 3 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 4 ms 340 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 4 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 2 ms 340 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 1 ms 304 KB Output is correct
12 Correct 4 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 4 ms 340 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 304 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 14 ms 308 KB Output is correct
24 Correct 6 ms 340 KB Output is correct
25 Correct 11 ms 436 KB Output is correct
26 Correct 10 ms 436 KB Output is correct
27 Correct 9 ms 340 KB Output is correct
28 Correct 8 ms 432 KB Output is correct
29 Correct 1 ms 280 KB Output is correct
30 Correct 4 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 4 ms 340 KB Output is correct
33 Correct 4 ms 340 KB Output is correct
34 Correct 4 ms 308 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 300 KB Output is correct
37 Correct 3 ms 308 KB Output is correct
38 Correct 3 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 2 ms 340 KB Output is correct
41 Correct 11 ms 432 KB Output is correct
42 Correct 5 ms 340 KB Output is correct
43 Correct 12 ms 432 KB Output is correct
44 Correct 10 ms 304 KB Output is correct
45 Correct 9 ms 436 KB Output is correct
46 Correct 7 ms 340 KB Output is correct
47 Correct 2 ms 436 KB Output is correct
48 Correct 4 ms 468 KB Output is correct
49 Correct 58 ms 560 KB Output is correct
50 Correct 26 ms 484 KB Output is correct
51 Correct 55 ms 596 KB Output is correct
52 Correct 55 ms 596 KB Output is correct
53 Correct 52 ms 596 KB Output is correct
54 Correct 59 ms 596 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 3 ms 308 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 3 ms 340 KB Output is correct
59 Correct 4 ms 340 KB Output is correct
60 Correct 4 ms 304 KB Output is correct
61 Correct 1 ms 308 KB Output is correct
62 Correct 1 ms 312 KB Output is correct
63 Correct 3 ms 344 KB Output is correct
64 Correct 3 ms 316 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 2 ms 340 KB Output is correct
67 Correct 10 ms 436 KB Output is correct
68 Correct 5 ms 344 KB Output is correct
69 Correct 10 ms 440 KB Output is correct
70 Correct 10 ms 316 KB Output is correct
71 Correct 10 ms 340 KB Output is correct
72 Correct 8 ms 432 KB Output is correct
73 Correct 2 ms 448 KB Output is correct
74 Correct 4 ms 444 KB Output is correct
75 Correct 60 ms 660 KB Output is correct
76 Correct 26 ms 500 KB Output is correct
77 Correct 58 ms 652 KB Output is correct
78 Correct 55 ms 648 KB Output is correct
79 Correct 50 ms 608 KB Output is correct
80 Correct 49 ms 608 KB Output is correct
81 Correct 1426 ms 3168 KB Output is correct
82 Correct 656 ms 1968 KB Output is correct
83 Correct 1361 ms 3156 KB Output is correct
84 Correct 1358 ms 3280 KB Output is correct
85 Correct 14 ms 1772 KB Output is correct
86 Correct 30 ms 1748 KB Output is correct
87 Correct 1234 ms 3156 KB Output is correct

Subtask #6-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 18 ms 424 KB Output is correct
7 Incorrect 8 ms 340 KB Output isn't correct
8 Halted 0 ms 0 KB -