oj.uz

Submission #745403

# Submission time Handle Problem Language Result Execution time Memory
745403 2023-05-20T01:33:41 Z qwerasdfzxcl Uplifting Excursion (BOI22_vault) C++17
50 / 100
 1424 ms 3284 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 + 5050;
	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 2 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 39 ms 544 KB Output is correct
7 Incorrect 16 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 2 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 39 ms 544 KB Output is correct
7 Incorrect 16 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 3 ms 340 KB Output is correct
2 Correct 10 ms 500 KB Output is correct
3 Correct 4 ms 340 KB Output is correct
4 Correct 10 ms 468 KB Output is correct
5 Correct 12 ms 488 KB Output is correct
6 Correct 9 ms 508 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 6 ms 504 KB Output is correct
10 Correct 7 ms 468 KB Output is correct

Subtask #3-2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 340 KB Output is correct
2 Correct 10 ms 500 KB Output is correct
3 Correct 4 ms 340 KB Output is correct
4 Correct 10 ms 468 KB Output is correct
5 Correct 12 ms 488 KB Output is correct
6 Correct 9 ms 508 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 6 ms 504 KB Output is correct
10 Correct 7 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 11 ms 504 KB Output is correct
16 Correct 4 ms 340 KB Output is correct
17 Correct 9 ms 468 KB Output is correct
18 Correct 10 ms 468 KB Output is correct
19 Correct 12 ms 468 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 7 ms 468 KB Output is correct
23 Correct 8 ms 468 KB Output is correct
24 Correct 17 ms 468 KB Output is correct
25 Correct 6 ms 340 KB Output is correct
26 Correct 18 ms 468 KB Output is correct
27 Correct 18 ms 504 KB Output is correct
28 Correct 17 ms 468 KB Output is correct

Subtask #4-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 340 KB Output is correct
2 Correct 10 ms 500 KB Output is correct
3 Correct 4 ms 340 KB Output is correct
4 Correct 10 ms 468 KB Output is correct
5 Correct 12 ms 488 KB Output is correct
6 Correct 9 ms 508 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 6 ms 504 KB Output is correct
10 Correct 7 ms 468 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 10 ms 468 KB Output is correct
13 Correct 4 ms 340 KB Output is correct
14 Correct 9 ms 504 KB Output is correct
15 Correct 11 ms 468 KB Output is correct
16 Correct 9 ms 508 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 3 ms 340 KB Output is correct
19 Correct 6 ms 464 KB Output is correct
20 Correct 8 ms 500 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 21 ms 468 KB Output is correct
24 Correct 10 ms 440 KB Output is correct
25 Correct 22 ms 528 KB Output is correct
26 Correct 21 ms 468 KB Output is correct
27 Correct 20 ms 556 KB Output is correct
28 Correct 16 ms 552 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 2 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 39 ms 544 KB Output is correct
7 Incorrect 16 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 3 ms 340 KB Output is correct
2 Correct 10 ms 500 KB Output is correct
3 Correct 4 ms 340 KB Output is correct
4 Correct 10 ms 468 KB Output is correct
5 Correct 12 ms 488 KB Output is correct
6 Correct 9 ms 508 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 6 ms 504 KB Output is correct
10 Correct 7 ms 468 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 10 ms 468 KB Output is correct
13 Correct 4 ms 340 KB Output is correct
14 Correct 9 ms 504 KB Output is correct
15 Correct 11 ms 468 KB Output is correct
16 Correct 9 ms 508 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 3 ms 340 KB Output is correct
19 Correct 6 ms 464 KB Output is correct
20 Correct 8 ms 500 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 21 ms 468 KB Output is correct
24 Correct 10 ms 440 KB Output is correct
25 Correct 22 ms 528 KB Output is correct
26 Correct 21 ms 468 KB Output is correct
27 Correct 20 ms 556 KB Output is correct
28 Correct 16 ms 552 KB Output is correct
29 Correct 3 ms 340 KB Output is correct
30 Correct 11 ms 500 KB Output is correct
31 Correct 4 ms 412 KB Output is correct
32 Correct 10 ms 468 KB Output is correct
33 Correct 10 ms 468 KB Output is correct
34 Correct 9 ms 500 KB Output is correct
35 Correct 2 ms 340 KB Output is correct
36 Correct 3 ms 340 KB Output is correct
37 Correct 6 ms 468 KB Output is correct
38 Correct 7 ms 468 KB Output is correct
39 Correct 2 ms 340 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 21 ms 548 KB Output is correct
42 Correct 9 ms 436 KB Output is correct
43 Correct 20 ms 468 KB Output is correct
44 Correct 20 ms 480 KB Output is correct
45 Correct 18 ms 556 KB Output is correct
46 Correct 16 ms 548 KB Output is correct
47 Correct 3 ms 468 KB Output is correct
48 Correct 5 ms 468 KB Output is correct
49 Correct 79 ms 772 KB Output is correct
50 Correct 34 ms 468 KB Output is correct
51 Correct 77 ms 772 KB Output is correct
52 Correct 73 ms 776 KB Output is correct
53 Correct 67 ms 780 KB Output is correct
54 Correct 64 ms 844 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 2 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 39 ms 544 KB Output is correct
7 Incorrect 16 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 3 ms 340 KB Output is correct
2 Correct 10 ms 500 KB Output is correct
3 Correct 4 ms 340 KB Output is correct
4 Correct 10 ms 468 KB Output is correct
5 Correct 12 ms 488 KB Output is correct
6 Correct 9 ms 508 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 6 ms 504 KB Output is correct
10 Correct 7 ms 468 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 10 ms 468 KB Output is correct
13 Correct 4 ms 340 KB Output is correct
14 Correct 9 ms 504 KB Output is correct
15 Correct 11 ms 468 KB Output is correct
16 Correct 9 ms 508 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 3 ms 340 KB Output is correct
19 Correct 6 ms 464 KB Output is correct
20 Correct 8 ms 500 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 21 ms 468 KB Output is correct
24 Correct 10 ms 440 KB Output is correct
25 Correct 22 ms 528 KB Output is correct
26 Correct 21 ms 468 KB Output is correct
27 Correct 20 ms 556 KB Output is correct
28 Correct 16 ms 552 KB Output is correct
29 Correct 3 ms 340 KB Output is correct
30 Correct 11 ms 500 KB Output is correct
31 Correct 4 ms 412 KB Output is correct
32 Correct 10 ms 468 KB Output is correct
33 Correct 10 ms 468 KB Output is correct
34 Correct 9 ms 500 KB Output is correct
35 Correct 2 ms 340 KB Output is correct
36 Correct 3 ms 340 KB Output is correct
37 Correct 6 ms 468 KB Output is correct
38 Correct 7 ms 468 KB Output is correct
39 Correct 2 ms 340 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 21 ms 548 KB Output is correct
42 Correct 9 ms 436 KB Output is correct
43 Correct 20 ms 468 KB Output is correct
44 Correct 20 ms 480 KB Output is correct
45 Correct 18 ms 556 KB Output is correct
46 Correct 16 ms 548 KB Output is correct
47 Correct 3 ms 468 KB Output is correct
48 Correct 5 ms 468 KB Output is correct
49 Correct 79 ms 772 KB Output is correct
50 Correct 34 ms 468 KB Output is correct
51 Correct 77 ms 772 KB Output is correct
52 Correct 73 ms 776 KB Output is correct
53 Correct 67 ms 780 KB Output is correct
54 Correct 64 ms 844 KB Output is correct
55 Correct 3 ms 340 KB Output is correct
56 Correct 12 ms 508 KB Output is correct
57 Correct 4 ms 340 KB Output is correct
58 Correct 9 ms 468 KB Output is correct
59 Correct 10 ms 468 KB Output is correct
60 Correct 10 ms 504 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 2 ms 340 KB Output is correct
63 Correct 6 ms 500 KB Output is correct
64 Correct 8 ms 468 KB Output is correct
65 Correct 2 ms 352 KB Output is correct
66 Correct 3 ms 352 KB Output is correct
67 Correct 23 ms 552 KB Output is correct
68 Correct 9 ms 340 KB Output is correct
69 Correct 21 ms 552 KB Output is correct
70 Correct 20 ms 468 KB Output is correct
71 Correct 18 ms 468 KB Output is correct
72 Correct 16 ms 468 KB Output is correct
73 Correct 3 ms 468 KB Output is correct
74 Correct 5 ms 468 KB Output is correct
75 Correct 101 ms 776 KB Output is correct
76 Correct 33 ms 468 KB Output is correct
77 Correct 75 ms 780 KB Output is correct
78 Correct 77 ms 724 KB Output is correct
79 Correct 66 ms 724 KB Output is correct
80 Correct 67 ms 780 KB Output is correct
81 Correct 1424 ms 3276 KB Output is correct
82 Correct 657 ms 2048 KB Output is correct
83 Correct 1421 ms 3284 KB Output is correct
84 Correct 1358 ms 3284 KB Output is correct
85 Correct 16 ms 1748 KB Output is correct
86 Correct 30 ms 1800 KB Output is correct
87 Correct 1247 ms 3280 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 2 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 39 ms 544 KB Output is correct
7 Incorrect 16 ms 340 KB Output isn't correct
8 Halted 0 ms 0 KB -