oj.uz

Submission #844017

# Submission time Handle Problem Language Result Execution time Memory
844017 2023-09-04T22:34:33 Z dong_liu Overtaking (IOI23_overtaking) C++17
100 / 100
 1264 ms 111060 KB 
#ifndef LOCAL
#include "overtaking.h"
#endif
#include "bits/stdc++.h"
using namespace std;

#ifndef LOCAL
#define cerr if(0)cerr
#endif

typedef vector<int> vi;
typedef long long ll;
typedef pair<int,int> pi;

const int N=1e3+5,N_=1<<21;

struct B {ll s,t;int i;}b[N][N];
ll ans[N][N];
bool operator<(B a,B b){return a.s!=b.s?a.s<b.s:a.t<b.t;}

ll xx[N_];
int n_,k;
pi st[N_*2];

pi qry(ll x){
	int p=upper_bound(xx,xx+k,x)-xx-1;
	p+=n_;
	pi v{N,0};
	while(p>0)v=min(v,st[p]),p>>=1;
	return v;
}
void upd(ll l,ll r,pi x){
	if(l<=r){
		int ql=upper_bound(xx,xx+k,l)-xx-1;
		int qr=upper_bound(xx,xx+k,r)-xx-1;
		for(ql+=n_,qr+=n_;ql<=qr;ql>>=1,qr>>=1){
			if(ql&1)st[ql]=min(st[ql],x),ql++;
			if(~qr&1)st[qr]=min(st[qr],x),qr--;
		}
	}
}

ll l,x;

void init(int l_,int n,vector<ll>t,vi w,int x_,int m,vi s){
	l=l_,x=x_;
	for(int i=0;i<n;i++)b[0][i]={0,t[i],i};
	n_=0;
	for(int t=1;t<m;t++){
		for(int i=0;i<n;i++){
			auto[s_,t_,i_]=b[t-1][i];
			b[t][i]={t_,t_+1ll*w[i_]*(s[t]-s[t-1]),i_};
		}
		sort(b[t],b[t]+n);
		for(int i=1;i<n;i++)b[t][i].t=max(b[t][i].t,b[t][i-1].t);
		for(int i=0;i<n;i++){
			xx[n_++]=b[t][i].s-x*s[t-1]+1;
			xx[n_++]=b[t][i].t-x*s[t];
		}
	}
	xx[n_++]=-4e18;
	sort(xx,xx+n_);
	k=unique(xx,xx+n_)-xx;
	n_=1;while(n_<k)n_<<=1;
	for(int i=1;i<n_*2;i++)st[i]={N,0};
	for(int t=m-1;t>=1;t--){
		for(int i=0;i<n;i++){
			pi p=qry(b[t][i].t-x*s[t]);p.second*=-1;
			if(p==pi{N,0})ans[t][i]=b[t][i].t+x*(l-s[t]);
			else ans[t][i]=ans[p.first][p.second];
		}
		for(int i=0;i<n;i++)upd(b[t][i].s-x*s[t-1]+1,b[t][i].t-x*s[t]-1,pi{t,-i});
	}
}

ll arrival_time(ll t){
	pi p=qry(t);p.second*=-1;
	if(p==pi{N,0})return t+x*l;
	return ans[p.first][p.second];
}

#ifdef LOCAL
int main(){
	cin.tie(0)->sync_with_stdio(0),cin.exceptions(cin.failbit);
	int l,n,x,m,q;
	cin>>l>>n>>x>>m>>q;
	vector<ll> t(n);
	vi w(n),s(m);
	for(int i=0;i<n;i++)cin>>t[i];
	for(int i=0;i<n;i++)cin>>w[i];
	for(int i=0;i<m;i++)cin>>s[i];
	init(l,n,t,w,x,m,s);
	for(int h=1;h<=q;h++){
		ll t;
		cin>>t;
		cout<<"query t="<<t<<" got "<<arrival_time(t)<<'\n';
	}
}
#endif

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6492 KB Output is correct

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 4 ms 31068 KB Output is correct
8 Correct 4 ms 35420 KB Output is correct
9 Correct 5 ms 35416 KB Output is correct
10 Correct 4 ms 35420 KB Output is correct
11 Correct 4 ms 35420 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 2 ms 6492 KB Output is correct
7 Correct 2 ms 6492 KB Output is correct
8 Correct 2 ms 6500 KB Output is correct
9 Correct 2 ms 6556 KB Output is correct
10 Correct 2 ms 6492 KB Output is correct
11 Correct 2 ms 6488 KB Output is correct
12 Correct 2 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 2 ms 6488 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10588 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 5 ms 12892 KB Output is correct
10 Correct 6 ms 12892 KB Output is correct
11 Correct 7 ms 12892 KB Output is correct
12 Correct 5 ms 12892 KB Output is correct
13 Correct 6 ms 13148 KB Output is correct
14 Correct 5 ms 12892 KB Output is correct
15 Correct 6 ms 13148 KB Output is correct
16 Correct 5 ms 12892 KB Output is correct
17 Correct 5 ms 12888 KB Output is correct
18 Correct 5 ms 12916 KB Output is correct
19 Correct 6 ms 12892 KB Output is correct
20 Correct 5 ms 12892 KB Output is correct
21 Correct 4 ms 12892 KB Output is correct
22 Correct 4 ms 12892 KB Output is correct
23 Correct 3 ms 10588 KB Output is correct
24 Correct 5 ms 12892 KB Output is correct
25 Correct 5 ms 12924 KB Output is correct
26 Correct 5 ms 12892 KB Output is correct
27 Correct 5 ms 12892 KB Output is correct
28 Correct 4 ms 12892 KB Output is correct
29 Correct 4 ms 12892 KB Output is correct
30 Correct 4 ms 13148 KB Output is correct
31 Correct 4 ms 12904 KB Output is correct
32 Correct 3 ms 12892 KB Output is correct
33 Correct 5 ms 12892 KB Output is correct
34 Correct 5 ms 12892 KB Output is correct
35 Correct 5 ms 12892 KB Output is correct
36 Correct 6 ms 12920 KB Output is correct
37 Correct 5 ms 12892 KB Output is correct
38 Correct 2 ms 10588 KB Output is correct
39 Correct 2 ms 10588 KB Output is correct
40 Correct 4 ms 10588 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10588 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 4 ms 31068 KB Output is correct
9 Correct 4 ms 35420 KB Output is correct
10 Correct 5 ms 35416 KB Output is correct
11 Correct 4 ms 35420 KB Output is correct
12 Correct 4 ms 35420 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 5 ms 12892 KB Output is correct
17 Correct 6 ms 12892 KB Output is correct
18 Correct 7 ms 12892 KB Output is correct
19 Correct 5 ms 12892 KB Output is correct
20 Correct 6 ms 13148 KB Output is correct
21 Correct 5 ms 12892 KB Output is correct
22 Correct 6 ms 13148 KB Output is correct
23 Correct 5 ms 12892 KB Output is correct
24 Correct 5 ms 12888 KB Output is correct
25 Correct 5 ms 12916 KB Output is correct
26 Correct 6 ms 12892 KB Output is correct
27 Correct 5 ms 12892 KB Output is correct
28 Correct 4 ms 12892 KB Output is correct
29 Correct 4 ms 12892 KB Output is correct
30 Correct 3 ms 10588 KB Output is correct
31 Correct 5 ms 12892 KB Output is correct
32 Correct 5 ms 12924 KB Output is correct
33 Correct 5 ms 12892 KB Output is correct
34 Correct 5 ms 12892 KB Output is correct
35 Correct 4 ms 12892 KB Output is correct
36 Correct 4 ms 12892 KB Output is correct
37 Correct 4 ms 13148 KB Output is correct
38 Correct 4 ms 12904 KB Output is correct
39 Correct 3 ms 12892 KB Output is correct
40 Correct 5 ms 12892 KB Output is correct
41 Correct 5 ms 12892 KB Output is correct
42 Correct 5 ms 12892 KB Output is correct
43 Correct 6 ms 12920 KB Output is correct
44 Correct 5 ms 12892 KB Output is correct
45 Correct 2 ms 10588 KB Output is correct
46 Correct 2 ms 10588 KB Output is correct
47 Correct 4 ms 10588 KB Output is correct
48 Correct 805 ms 81196 KB Output is correct
49 Correct 724 ms 81236 KB Output is correct
50 Correct 759 ms 81512 KB Output is correct
51 Correct 709 ms 81232 KB Output is correct
52 Correct 729 ms 81232 KB Output is correct
53 Correct 715 ms 81236 KB Output is correct
54 Correct 724 ms 81484 KB Output is correct
55 Correct 599 ms 81184 KB Output is correct
56 Correct 623 ms 81228 KB Output is correct
57 Correct 634 ms 81220 KB Output is correct
58 Correct 657 ms 81264 KB Output is correct
59 Correct 645 ms 81236 KB Output is correct
60 Correct 647 ms 81224 KB Output is correct
61 Correct 661 ms 81244 KB Output is correct
62 Correct 6 ms 35416 KB Output is correct
63 Correct 3 ms 6748 KB Output is correct
64 Correct 358 ms 60512 KB Output is correct
65 Correct 331 ms 47696 KB Output is correct
66 Correct 281 ms 50276 KB Output is correct
67 Correct 784 ms 81236 KB Output is correct
68 Correct 795 ms 81248 KB Output is correct
69 Correct 282 ms 66864 KB Output is correct
70 Correct 508 ms 81228 KB Output is correct
71 Correct 532 ms 81240 KB Output is correct
72 Correct 569 ms 81484 KB Output is correct
73 Correct 556 ms 81264 KB Output is correct
74 Correct 532 ms 81256 KB Output is correct
75 Correct 157 ms 50516 KB Output is correct
76 Correct 158 ms 50276 KB Output is correct
77 Correct 163 ms 52564 KB Output is correct
78 Correct 379 ms 58664 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10588 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 4 ms 31068 KB Output is correct
9 Correct 4 ms 35420 KB Output is correct
10 Correct 5 ms 35416 KB Output is correct
11 Correct 4 ms 35420 KB Output is correct
12 Correct 4 ms 35420 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 2 ms 6492 KB Output is correct
19 Correct 2 ms 6492 KB Output is correct
20 Correct 2 ms 6500 KB Output is correct
21 Correct 2 ms 6556 KB Output is correct
22 Correct 2 ms 6492 KB Output is correct
23 Correct 2 ms 6488 KB Output is correct
24 Correct 2 ms 6492 KB Output is correct
25 Correct 1 ms 6492 KB Output is correct
26 Correct 2 ms 6488 KB Output is correct
27 Correct 5 ms 12892 KB Output is correct
28 Correct 6 ms 12892 KB Output is correct
29 Correct 7 ms 12892 KB Output is correct
30 Correct 5 ms 12892 KB Output is correct
31 Correct 6 ms 13148 KB Output is correct
32 Correct 5 ms 12892 KB Output is correct
33 Correct 6 ms 13148 KB Output is correct
34 Correct 5 ms 12892 KB Output is correct
35 Correct 5 ms 12888 KB Output is correct
36 Correct 5 ms 12916 KB Output is correct
37 Correct 6 ms 12892 KB Output is correct
38 Correct 5 ms 12892 KB Output is correct
39 Correct 4 ms 12892 KB Output is correct
40 Correct 4 ms 12892 KB Output is correct
41 Correct 3 ms 10588 KB Output is correct
42 Correct 5 ms 12892 KB Output is correct
43 Correct 5 ms 12924 KB Output is correct
44 Correct 5 ms 12892 KB Output is correct
45 Correct 5 ms 12892 KB Output is correct
46 Correct 4 ms 12892 KB Output is correct
47 Correct 4 ms 12892 KB Output is correct
48 Correct 4 ms 13148 KB Output is correct
49 Correct 4 ms 12904 KB Output is correct
50 Correct 3 ms 12892 KB Output is correct
51 Correct 5 ms 12892 KB Output is correct
52 Correct 5 ms 12892 KB Output is correct
53 Correct 5 ms 12892 KB Output is correct
54 Correct 6 ms 12920 KB Output is correct
55 Correct 5 ms 12892 KB Output is correct
56 Correct 2 ms 10588 KB Output is correct
57 Correct 2 ms 10588 KB Output is correct
58 Correct 4 ms 10588 KB Output is correct
59 Correct 805 ms 81196 KB Output is correct
60 Correct 724 ms 81236 KB Output is correct
61 Correct 759 ms 81512 KB Output is correct
62 Correct 709 ms 81232 KB Output is correct
63 Correct 729 ms 81232 KB Output is correct
64 Correct 715 ms 81236 KB Output is correct
65 Correct 724 ms 81484 KB Output is correct
66 Correct 599 ms 81184 KB Output is correct
67 Correct 623 ms 81228 KB Output is correct
68 Correct 634 ms 81220 KB Output is correct
69 Correct 657 ms 81264 KB Output is correct
70 Correct 645 ms 81236 KB Output is correct
71 Correct 647 ms 81224 KB Output is correct
72 Correct 661 ms 81244 KB Output is correct
73 Correct 6 ms 35416 KB Output is correct
74 Correct 3 ms 6748 KB Output is correct
75 Correct 358 ms 60512 KB Output is correct
76 Correct 331 ms 47696 KB Output is correct
77 Correct 281 ms 50276 KB Output is correct
78 Correct 784 ms 81236 KB Output is correct
79 Correct 795 ms 81248 KB Output is correct
80 Correct 282 ms 66864 KB Output is correct
81 Correct 508 ms 81228 KB Output is correct
82 Correct 532 ms 81240 KB Output is correct
83 Correct 569 ms 81484 KB Output is correct
84 Correct 556 ms 81264 KB Output is correct
85 Correct 532 ms 81256 KB Output is correct
86 Correct 157 ms 50516 KB Output is correct
87 Correct 158 ms 50276 KB Output is correct
88 Correct 163 ms 52564 KB Output is correct
89 Correct 379 ms 58664 KB Output is correct
90 Correct 839 ms 83552 KB Output is correct
91 Correct 1056 ms 106948 KB Output is correct
92 Correct 1112 ms 106448 KB Output is correct
93 Correct 1050 ms 106684 KB Output is correct
94 Correct 1066 ms 106400 KB Output is correct
95 Correct 1045 ms 106468 KB Output is correct
96 Correct 1034 ms 106580 KB Output is correct
97 Correct 629 ms 83560 KB Output is correct
98 Correct 968 ms 106488 KB Output is correct
99 Correct 969 ms 107012 KB Output is correct
100 Correct 990 ms 106464 KB Output is correct
101 Correct 990 ms 106444 KB Output is correct
102 Correct 986 ms 106444 KB Output is correct
103 Correct 992 ms 106700 KB Output is correct
104 Correct 681 ms 84956 KB Output is correct
105 Correct 793 ms 74488 KB Output is correct
106 Correct 571 ms 82204 KB Output is correct
107 Correct 1150 ms 110728 KB Output is correct
108 Correct 1205 ms 111060 KB Output is correct
109 Correct 1186 ms 110788 KB Output is correct
110 Correct 1264 ms 110788 KB Output is correct
111 Correct 594 ms 92460 KB Output is correct
112 Correct 821 ms 106692 KB Output is correct
113 Correct 976 ms 108040 KB Output is correct
114 Correct 1120 ms 108748 KB Output is correct
115 Correct 933 ms 107980 KB Output is correct
116 Correct 843 ms 107764 KB Output is correct
117 Correct 408 ms 77924 KB Output is correct
118 Correct 411 ms 77904 KB Output is correct
119 Correct 406 ms 77060 KB Output is correct
120 Correct 416 ms 79964 KB Output is correct
121 Correct 419 ms 78944 KB Output is correct
122 Correct 683 ms 81436 KB Output is correct
123 Correct 1191 ms 108760 KB Output is correct
124 Correct 1221 ms 108900 KB Output is correct
125 Correct 1237 ms 109140 KB Output is correct