oj.uz

Submission #951759

# Submission time Handle Problem Language Result Execution time Memory
951759 2024-03-22T13:56:20 Z Lobo Bitaro's travel (JOI23_travel) C++17
100 / 100
 483 ms 13980 KB 
#include<bits/stdc++.h>
using namespace std;
// #define int long long
#define pb push_back
#define mp make_pair
#define fr first
#define sc second
#define all(x) x.begin(),x.end()
const int maxn = 2e5+10;
const int inf = 2e9+10;

int n, a[maxn], tr1[4*maxn], tr2[4*maxn];

void build1(int no, int l, int r) {
	if(l == r) {
		if(l == n) tr1[no] = -inf;
		else tr1[no] = 2*a[l]-a[l+1];
		return;
	}
	int lc=2*no,rc=2*no+1,mid=(l+r)>>1;
	build1(lc,l,mid);
	build1(rc,mid+1,r);
	tr1[no] = min(tr1[lc],tr1[rc]);
}
int cnt = 0;

// leftmost i with i >= pos and x[i] <= val
int find1(int no, int l, int r, int pos, int val) {assert(++cnt <= 70);
	if(tr1[no] > val || r < pos) return -1;
	if(l == r) {
		return l;
	}

	int lc=2*no,rc=2*no+1,mid=(l+r)>>1;

	if(l >= pos) {
		if(tr1[lc] <= val) return find1(lc,l,mid,pos,val);
		return find1(rc,mid+1,r,pos,val);
	}

	int ansl = find1(lc,l,mid,pos,val);
	if(ansl != -1) return ansl;
	return find1(rc,mid+1,r,pos,val);
}

void build2(int no, int l, int r) {
	if(l == r) {
		if(l == 1) tr2[no] = inf;
		else tr2[no] = 2*a[l]-a[l-1];
		return;
	}
	int lc=2*no,rc=2*no+1,mid=(l+r)>>1;
	build2(lc,l,mid);
	build2(rc,mid+1,r);
	tr2[no] = max(tr2[lc],tr2[rc]);
}
// rightmost i with i <= pos and x[i] >= val
int find2(int no, int l, int r, int pos, int val) {assert(++cnt <= 70);
	if(tr2[no] < val || l > pos) return -1;
	if(l == r) {
		return l;
	}

	int lc=2*no,rc=2*no+1,mid=(l+r)>>1;
	if(r <= pos) {
		if(tr2[rc] >= val) return find2(rc,mid+1,r,pos,val);
		return find2(lc,l,mid,pos,val);
	}

	int ansr = find2(rc,mid+1,r,pos,val);
	if(ansr != -1) return ansr;
	return find2(lc,l,mid,pos,val);
}

int32_t main() {
	// freopen("in.in","r",stdin);

	cin >> n;

	for(int i = 1; i <= n; i++) {
		cin >> a[i];
	}

	build1(1,1,n);
	build2(1,1,n);
	int q; cin >> q;
	// assert(q == 1);
	while(q--) {
		int l = -1,r, sd = 0;
		int p; cin >> p;
		long long ans = 0;

		int l1 = 0;
		int r1 = n;
		int ansbs = -1;
		while(l1 <= r1) {
			int mid = (l1+r1)/2;

			if(mid == n || a[mid+1] >= p) {
				ansbs = mid;
				r1 = mid-1;
			}
			else {
				l1 = mid+1;
			}
		}

		if(ansbs != 0 && (ansbs == n || p-a[ansbs] <= a[ansbs+1] - p)) {
			ans+= p-a[ansbs];
			l = ansbs;
			r = ansbs;
		}
		else {
			ans+= a[ansbs+1]-p;
			l = ansbs+1;
			r = ansbs+1;
		}
		
		int qtalt = 0;
		while(l != 1 || r != n) {
			if(sd == 0) {
				if(l == 1) {
					ans+= a[n]-a[l];
					r = n;
					sd = 1;
					qtalt++;
				}
				else if(r == n) {
					ans+= a[l]-a[1];
					l = 1;
					qtalt++;
				}
				else if(a[l]-a[l-1] <= a[r+1]-a[l]) {
					cnt = 0;
					int ansb = find2(1,1,n,l-1,a[r+1]+1);
					assert(cnt <= 70);
					ans+= a[l]-a[ansb];
					l = ansb;
					qtalt++;
				}
				else {
					cnt = 0;
					int ansb = find1(1,1,n,r+1,a[l-1]);
					assert(cnt <= 70);
					ans+= a[ansb]-a[l];
					r = ansb;
					sd = 1;
					qtalt++;
				}
			}
			else {
				if(l == 1) {
					ans+= a[n]-a[r];
					r = n;
					qtalt++;
				}
				else if(r == n) {
					ans+= a[r]-a[1];
					sd = 0;
					l = 1;
					qtalt++;
				}
				else if(a[r]-a[l-1] <= a[r+1]-a[r]) {
					cnt = 0;
					int ansb = find2(1,1,n,l-1,a[r+1]+1);
					assert(cnt <= 70);
					ans+= a[r]-a[ansb];
					sd = 0;
					l = ansb;
					qtalt++;
				}
				else {
					cnt = 0;
					int ansb = find1(1,1,n,r+1,a[l-1]);
					assert(cnt <= 70);
					ans+= a[ansb]-a[r];
					r = ansb;
					qtalt++;
				}
			}
		}
		assert(qtalt <= 20);
		cout << ans << endl;
	}
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4548 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 2 ms 4440 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4696 KB Output is correct
14 Correct 2 ms 4444 KB Output is correct
15 Correct 2 ms 4440 KB Output is correct
16 Correct 2 ms 4444 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4548 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 2 ms 4440 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4696 KB Output is correct
14 Correct 2 ms 4444 KB Output is correct
15 Correct 2 ms 4440 KB Output is correct
16 Correct 2 ms 4444 KB Output is correct
17 Correct 59 ms 9196 KB Output is correct
18 Correct 58 ms 9376 KB Output is correct
19 Correct 58 ms 9300 KB Output is correct
20 Correct 59 ms 9552 KB Output is correct
21 Correct 59 ms 9300 KB Output is correct
22 Correct 58 ms 9300 KB Output is correct
23 Correct 71 ms 9300 KB Output is correct
24 Correct 72 ms 9300 KB Output is correct
25 Correct 68 ms 9480 KB Output is correct
26 Correct 59 ms 9264 KB Output is correct
27 Correct 58 ms 9300 KB Output is correct
28 Correct 59 ms 9380 KB Output is correct
29 Correct 57 ms 9296 KB Output is correct
30 Correct 60 ms 9188 KB Output is correct
31 Correct 57 ms 9300 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 383 ms 11192 KB Output is correct
8 Correct 389 ms 11284 KB Output is correct
9 Correct 380 ms 11184 KB Output is correct
10 Correct 376 ms 11164 KB Output is correct
11 Correct 378 ms 11344 KB Output is correct
12 Correct 384 ms 11344 KB Output is correct
13 Correct 296 ms 8228 KB Output is correct
14 Correct 264 ms 5588 KB Output is correct
15 Correct 375 ms 12372 KB Output is correct
16 Correct 389 ms 12240 KB Output is correct
17 Correct 378 ms 12348 KB Output is correct
18 Correct 307 ms 8180 KB Output is correct

Subtask #4
55.0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4548 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 2 ms 4440 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4696 KB Output is correct
14 Correct 2 ms 4444 KB Output is correct
15 Correct 2 ms 4440 KB Output is correct
16 Correct 2 ms 4444 KB Output is correct
17 Correct 59 ms 9196 KB Output is correct
18 Correct 58 ms 9376 KB Output is correct
19 Correct 58 ms 9300 KB Output is correct
20 Correct 59 ms 9552 KB Output is correct
21 Correct 59 ms 9300 KB Output is correct
22 Correct 58 ms 9300 KB Output is correct
23 Correct 71 ms 9300 KB Output is correct
24 Correct 72 ms 9300 KB Output is correct
25 Correct 68 ms 9480 KB Output is correct
26 Correct 59 ms 9264 KB Output is correct
27 Correct 58 ms 9300 KB Output is correct
28 Correct 59 ms 9380 KB Output is correct
29 Correct 57 ms 9296 KB Output is correct
30 Correct 60 ms 9188 KB Output is correct
31 Correct 57 ms 9300 KB Output is correct
32 Correct 1 ms 4440 KB Output is correct
33 Correct 1 ms 4444 KB Output is correct
34 Correct 1 ms 4444 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 1 ms 4444 KB Output is correct
37 Correct 1 ms 4440 KB Output is correct
38 Correct 383 ms 11192 KB Output is correct
39 Correct 389 ms 11284 KB Output is correct
40 Correct 380 ms 11184 KB Output is correct
41 Correct 376 ms 11164 KB Output is correct
42 Correct 378 ms 11344 KB Output is correct
43 Correct 384 ms 11344 KB Output is correct
44 Correct 296 ms 8228 KB Output is correct
45 Correct 264 ms 5588 KB Output is correct
46 Correct 375 ms 12372 KB Output is correct
47 Correct 389 ms 12240 KB Output is correct
48 Correct 378 ms 12348 KB Output is correct
49 Correct 307 ms 8180 KB Output is correct
50 Correct 483 ms 13552 KB Output is correct
51 Correct 452 ms 13396 KB Output is correct
52 Correct 445 ms 13588 KB Output is correct
53 Correct 450 ms 13560 KB Output is correct
54 Correct 431 ms 13492 KB Output is correct
55 Correct 452 ms 13980 KB Output is correct
56 Correct 385 ms 13652 KB Output is correct
57 Correct 373 ms 13376 KB Output is correct
58 Correct 381 ms 13392 KB Output is correct