Submission #741501

# Submission time Handle Problem Language Result Execution time Memory
741501 2023-05-14T09:14:28 Z arnold518 Chorus (JOI23_chorus) C++17
87 / 100
7000 ms 22952 KB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 1e6;
const ll INF = 1e12;

int N, K;
char S[MAXN*2+10];
int A[MAXN+10], C[MAXN+10];
ll B[MAXN+10];
ll ans;

ll f(int l, int r)
{
	if(C[r]<l) return 0;
	return (ll)r*(C[r]-l+1)-(B[C[r]]-B[l-1]);
}

pll dp[MAXN+10];

int cross(int p, int q)
{
	if(p>q) swap(p, q);
	int lo=q-1, hi=N+1;
	while(lo+1<hi)
	{
		int mid=lo+hi>>1;
		if(dp[p].first+2*f(p+1, mid)<=dp[q].first+2*f(q+1, mid)) lo=mid;
		else hi=mid;
	}
	return lo;
}

ll solve(ll lambda)
{
	dp[0]={0, 0};
	deque<int> DQ;
	DQ.push_back(0);
	for(int i=1; i<=N; i++)
	{
		while(DQ.size()>1 && cross(DQ[0], DQ[1])<i) DQ.pop_front();
		dp[i]={dp[DQ.front()].first+lambda+2*f(DQ.front()+1, i), dp[DQ.front()].second+1};
		while(DQ.size()>1 && cross(DQ[DQ.size()-2], DQ[DQ.size()-1])>=cross(DQ[DQ.size()-1], i)) DQ.pop_back();
		DQ.push_back(i);
	}
	return dp[N].second;
}

int main()
{
	scanf("%d%d", &N, &K);
	scanf(" %s", S+1);

	int t=0, k=0;
	for(int i=1; i<=N+N; i++)
	{
		if(S[i]=='A') k++;
		else A[++t]=k;
	}
	for(int i=1; i<=N; i++)
	{
		if(A[i]<i)
		{
			ans+=i-A[i];
			A[i]=i;
		}
		B[i]=B[i-1]+A[i];
	}

	for(int i=1, j=1; i<=N; i++)
	{
		for(; j<=N && A[j]<i; j++);
		C[i]=j-1;
	}

	ll lo=-1, hi=INF;
	while(lo+1<hi)
	{
		ll mid=lo+hi>>1;
		if(solve(mid*2+1)<K) hi=mid;
		else lo=mid;
	}
	solve(hi*2);
	printf("%lld\n", ans+dp[N].first/2-K*hi);
}

Compilation message

chorus.cpp: In function 'int cross(int, int)':
chorus.cpp:31:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   31 |   int mid=lo+hi>>1;
      |           ~~^~~
chorus.cpp: In function 'int main()':
chorus.cpp:83:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   83 |   ll mid=lo+hi>>1;
      |          ~~^~~
chorus.cpp:55:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   55 |  scanf("%d%d", &N, &K);
      |  ~~~~~^~~~~~~~~~~~~~~~
chorus.cpp:56:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   56 |  scanf(" %s", S+1);
      |  ~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 312 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 312 KB Output is correct
7 Correct 1 ms 304 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 312 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 312 KB Output is correct
7 Correct 1 ms 304 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 360 KB Output is correct
19 Correct 4 ms 356 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 4 ms 340 KB Output is correct
23 Correct 4 ms 340 KB Output is correct
24 Correct 7 ms 356 KB Output is correct
25 Correct 7 ms 312 KB Output is correct
26 Correct 4 ms 340 KB Output is correct
27 Correct 4 ms 340 KB Output is correct
28 Correct 4 ms 304 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 312 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 312 KB Output is correct
7 Correct 1 ms 304 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 360 KB Output is correct
19 Correct 4 ms 356 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 4 ms 340 KB Output is correct
23 Correct 4 ms 340 KB Output is correct
24 Correct 7 ms 356 KB Output is correct
25 Correct 7 ms 312 KB Output is correct
26 Correct 4 ms 340 KB Output is correct
27 Correct 4 ms 340 KB Output is correct
28 Correct 4 ms 304 KB Output is correct
29 Correct 45 ms 500 KB Output is correct
30 Correct 48 ms 508 KB Output is correct
31 Correct 46 ms 496 KB Output is correct
32 Correct 32 ms 496 KB Output is correct
33 Correct 38 ms 496 KB Output is correct
34 Correct 44 ms 468 KB Output is correct
35 Correct 39 ms 468 KB Output is correct
36 Correct 49 ms 516 KB Output is correct
37 Correct 44 ms 468 KB Output is correct
38 Correct 45 ms 468 KB Output is correct
39 Correct 42 ms 512 KB Output is correct
40 Correct 42 ms 468 KB Output is correct
41 Correct 44 ms 512 KB Output is correct
42 Correct 36 ms 520 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 312 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 312 KB Output is correct
7 Correct 1 ms 304 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 360 KB Output is correct
19 Correct 4 ms 356 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 4 ms 340 KB Output is correct
23 Correct 4 ms 340 KB Output is correct
24 Correct 7 ms 356 KB Output is correct
25 Correct 7 ms 312 KB Output is correct
26 Correct 4 ms 340 KB Output is correct
27 Correct 4 ms 340 KB Output is correct
28 Correct 4 ms 304 KB Output is correct
29 Correct 45 ms 500 KB Output is correct
30 Correct 48 ms 508 KB Output is correct
31 Correct 46 ms 496 KB Output is correct
32 Correct 32 ms 496 KB Output is correct
33 Correct 38 ms 496 KB Output is correct
34 Correct 44 ms 468 KB Output is correct
35 Correct 39 ms 468 KB Output is correct
36 Correct 49 ms 516 KB Output is correct
37 Correct 44 ms 468 KB Output is correct
38 Correct 45 ms 468 KB Output is correct
39 Correct 42 ms 512 KB Output is correct
40 Correct 42 ms 468 KB Output is correct
41 Correct 44 ms 512 KB Output is correct
42 Correct 36 ms 520 KB Output is correct
43 Correct 747 ms 2452 KB Output is correct
44 Correct 1281 ms 3876 KB Output is correct
45 Correct 1250 ms 3868 KB Output is correct
46 Correct 828 ms 3804 KB Output is correct
47 Correct 834 ms 3860 KB Output is correct
48 Correct 1143 ms 3936 KB Output is correct
49 Correct 1158 ms 3900 KB Output is correct
50 Correct 1399 ms 3768 KB Output is correct
51 Correct 1359 ms 3904 KB Output is correct
52 Correct 1123 ms 3932 KB Output is correct
53 Correct 1159 ms 3848 KB Output is correct
54 Correct 1323 ms 3896 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 312 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 312 KB Output is correct
7 Correct 1 ms 304 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 360 KB Output is correct
19 Correct 4 ms 356 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 4 ms 340 KB Output is correct
23 Correct 4 ms 340 KB Output is correct
24 Correct 7 ms 356 KB Output is correct
25 Correct 7 ms 312 KB Output is correct
26 Correct 4 ms 340 KB Output is correct
27 Correct 4 ms 340 KB Output is correct
28 Correct 4 ms 304 KB Output is correct
29 Correct 45 ms 500 KB Output is correct
30 Correct 48 ms 508 KB Output is correct
31 Correct 46 ms 496 KB Output is correct
32 Correct 32 ms 496 KB Output is correct
33 Correct 38 ms 496 KB Output is correct
34 Correct 44 ms 468 KB Output is correct
35 Correct 39 ms 468 KB Output is correct
36 Correct 49 ms 516 KB Output is correct
37 Correct 44 ms 468 KB Output is correct
38 Correct 45 ms 468 KB Output is correct
39 Correct 42 ms 512 KB Output is correct
40 Correct 42 ms 468 KB Output is correct
41 Correct 44 ms 512 KB Output is correct
42 Correct 36 ms 520 KB Output is correct
43 Correct 747 ms 2452 KB Output is correct
44 Correct 1281 ms 3876 KB Output is correct
45 Correct 1250 ms 3868 KB Output is correct
46 Correct 828 ms 3804 KB Output is correct
47 Correct 834 ms 3860 KB Output is correct
48 Correct 1143 ms 3936 KB Output is correct
49 Correct 1158 ms 3900 KB Output is correct
50 Correct 1399 ms 3768 KB Output is correct
51 Correct 1359 ms 3904 KB Output is correct
52 Correct 1123 ms 3932 KB Output is correct
53 Correct 1159 ms 3848 KB Output is correct
54 Correct 1323 ms 3896 KB Output is correct
55 Execution timed out 7071 ms 22952 KB Time limit exceeded
56 Halted 0 ms 0 KB -