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Submission #1009454

# Submission time Handle Problem Language Result Execution time Memory
1009454 2024-06-27T14:23:07 Z PotatoMan Overtaking (IOI23_overtaking) C++17
100 / 100
 1402 ms 67432 KB 
#include "overtaking.h"
#include <bits/stdc++.h>
#define ll long long
#define pii pair<ll,ll>
#define mp make_pair
using namespace std;

struct Bus{
	ll W,S;
	Bus(ll w,ll s){
		W = w, S = s;
	}
};

bool cmp(Bus b1,Bus b2){
	if( b1.S == b2.S ) return b1.W < b2.W;
	return b1.S < b2.S; 
}

vector<Bus> bus;
vector<vector<pii>> AT(1005);
vector<ll> station;
ll n,m,x;
ll memo[1005][1005];

int FindP(int i,ll time){
	int cur = lower_bound(AT[i].begin(),AT[i].end(),mp(time,(ll)-1)) - AT[i].begin();
	int p = i, tl = i, tr = m-1;
	while( tl <= tr ){
		int tm = (tl + tr) / 2;
		ll exp_time = time + (station[tm]-station[i])*x;
		int cars_ahead = lower_bound(AT[tm].begin(),AT[tm].end(),mp(exp_time,(ll)-1)) - AT[tm].begin(); 
		if( cars_ahead == cur ){
			p = tm;
			tl = tm+1;
		}
		else{
			tr = tm-1;
		}
	}
	return p;
}

long long DP(int i,int j){
	if( memo[i][j] != -1 ) return memo[i][j];
	ll time = AT[i][j].first;
	int p = FindP(i,time);
	if( p == m-1 ) return memo[i][j] = time + (station[m-1]-station[i])*x;
	else{
		ll ET = time + (station[p]-station[i])*x;
		auto temp = lower_bound(AT[p].begin(),AT[p].end(),mp(ET,(ll)0));
		temp--; //long jump
		int next = lower_bound(AT[p+1].begin(),AT[p+1].end(),mp((*temp).second,(ll)0)) - AT[p+1].begin(); //normal jump
		return memo[i][j] = DP(p+1,next);
	}
}

void init(int L, int N, std::vector<long long> T, std::vector<int> W, int X, int M, std::vector<int> S)
{
	m = M, x = X;
	//Get rid of unnecessary buses
	for(int i = 0 ; i < N ; i++){
		if( W[i] > X ) bus.push_back(Bus(W[i],T[i]));
	}
	for(int i = 0 ; i < M ; i++){
		station.push_back(S[i]);
	}
	n = bus.size();
	for(int i = 0 ; i < m ; i++){
		ll mx = 0;
		sort(bus.begin(),bus.end(),cmp);
		for(int j = 0 ; j < n ; j++){
			ll temp = bus[j].S;
			if( i != m-1 ) mx = max(mx,bus[j].S+(station[i+1]-station[i])*bus[j].W);
			AT[i].push_back({temp,mx});
			bus[j].S = mx;
		}
	}
	memset(memo,-1,sizeof(memo));
}

long long arrival_time(long long Y)
{	
	int p = FindP(0,Y);
	if( p == m-1 ) return Y + station[m-1]*x;
	else{
		ll ET = Y + station[p]*x;
		auto temp = lower_bound(AT[p].begin(),AT[p].end(),mp(ET,(ll)0));
		temp--; //long jump
		int next = lower_bound(AT[p+1].begin(),AT[p+1].end(),mp((*temp).second,(ll)0)) - AT[p+1].begin(); //normal jump
		return DP(p+1,next);
	}
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8280 KB Output is correct

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8284 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 2 ms 8284 KB Output is correct
4 Correct 2 ms 8356 KB Output is correct
5 Correct 2 ms 8336 KB Output is correct
6 Correct 2 ms 8284 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 2 ms 8284 KB Output is correct
9 Correct 2 ms 8284 KB Output is correct
10 Correct 2 ms 8284 KB Output is correct
11 Correct 2 ms 8284 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8280 KB Output is correct
2 Correct 1 ms 8284 KB Output is correct
3 Correct 2 ms 8280 KB Output is correct
4 Correct 2 ms 8280 KB Output is correct
5 Correct 2 ms 8284 KB Output is correct
6 Correct 2 ms 8284 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 3 ms 8284 KB Output is correct
9 Correct 2 ms 8284 KB Output is correct
10 Correct 3 ms 8284 KB Output is correct
11 Correct 2 ms 8476 KB Output is correct
12 Correct 2 ms 8284 KB Output is correct
13 Correct 2 ms 8284 KB Output is correct
14 Correct 2 ms 8284 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8280 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 2 ms 8284 KB Output is correct
4 Correct 2 ms 8284 KB Output is correct
5 Correct 2 ms 8356 KB Output is correct
6 Correct 2 ms 8280 KB Output is correct
7 Correct 1 ms 8284 KB Output is correct
8 Correct 2 ms 8280 KB Output is correct
9 Correct 3 ms 8540 KB Output is correct
10 Correct 3 ms 8536 KB Output is correct
11 Correct 2 ms 8528 KB Output is correct
12 Correct 2 ms 8540 KB Output is correct
13 Correct 2 ms 8540 KB Output is correct
14 Correct 3 ms 8540 KB Output is correct
15 Correct 3 ms 8404 KB Output is correct
16 Correct 2 ms 8400 KB Output is correct
17 Correct 2 ms 8408 KB Output is correct
18 Correct 3 ms 8536 KB Output is correct
19 Correct 2 ms 8460 KB Output is correct
20 Correct 2 ms 8540 KB Output is correct
21 Correct 2 ms 8284 KB Output is correct
22 Correct 2 ms 8284 KB Output is correct
23 Correct 3 ms 8444 KB Output is correct
24 Correct 2 ms 8540 KB Output is correct
25 Correct 2 ms 8536 KB Output is correct
26 Correct 2 ms 8540 KB Output is correct
27 Correct 2 ms 8540 KB Output is correct
28 Correct 2 ms 8284 KB Output is correct
29 Correct 2 ms 8284 KB Output is correct
30 Correct 2 ms 8284 KB Output is correct
31 Correct 2 ms 8284 KB Output is correct
32 Correct 2 ms 8536 KB Output is correct
33 Correct 2 ms 8540 KB Output is correct
34 Correct 2 ms 8540 KB Output is correct
35 Correct 2 ms 8536 KB Output is correct
36 Correct 2 ms 8540 KB Output is correct
37 Correct 2 ms 8584 KB Output is correct
38 Correct 2 ms 8284 KB Output is correct
39 Correct 2 ms 8284 KB Output is correct
40 Correct 2 ms 8400 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8280 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 2 ms 8284 KB Output is correct
4 Correct 2 ms 8284 KB Output is correct
5 Correct 2 ms 8356 KB Output is correct
6 Correct 2 ms 8336 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 2 ms 8284 KB Output is correct
9 Correct 2 ms 8284 KB Output is correct
10 Correct 2 ms 8284 KB Output is correct
11 Correct 2 ms 8284 KB Output is correct
12 Correct 2 ms 8284 KB Output is correct
13 Correct 2 ms 8280 KB Output is correct
14 Correct 1 ms 8284 KB Output is correct
15 Correct 2 ms 8280 KB Output is correct
16 Correct 3 ms 8540 KB Output is correct
17 Correct 3 ms 8536 KB Output is correct
18 Correct 2 ms 8528 KB Output is correct
19 Correct 2 ms 8540 KB Output is correct
20 Correct 2 ms 8540 KB Output is correct
21 Correct 3 ms 8540 KB Output is correct
22 Correct 3 ms 8404 KB Output is correct
23 Correct 2 ms 8400 KB Output is correct
24 Correct 2 ms 8408 KB Output is correct
25 Correct 3 ms 8536 KB Output is correct
26 Correct 2 ms 8460 KB Output is correct
27 Correct 2 ms 8540 KB Output is correct
28 Correct 2 ms 8284 KB Output is correct
29 Correct 2 ms 8284 KB Output is correct
30 Correct 3 ms 8444 KB Output is correct
31 Correct 2 ms 8540 KB Output is correct
32 Correct 2 ms 8536 KB Output is correct
33 Correct 2 ms 8540 KB Output is correct
34 Correct 2 ms 8540 KB Output is correct
35 Correct 2 ms 8284 KB Output is correct
36 Correct 2 ms 8284 KB Output is correct
37 Correct 2 ms 8284 KB Output is correct
38 Correct 2 ms 8284 KB Output is correct
39 Correct 2 ms 8536 KB Output is correct
40 Correct 2 ms 8540 KB Output is correct
41 Correct 2 ms 8540 KB Output is correct
42 Correct 2 ms 8536 KB Output is correct
43 Correct 2 ms 8540 KB Output is correct
44 Correct 2 ms 8584 KB Output is correct
45 Correct 2 ms 8284 KB Output is correct
46 Correct 2 ms 8284 KB Output is correct
47 Correct 2 ms 8400 KB Output is correct
48 Correct 71 ms 24400 KB Output is correct
49 Correct 98 ms 24660 KB Output is correct
50 Correct 88 ms 24400 KB Output is correct
51 Correct 87 ms 24524 KB Output is correct
52 Correct 93 ms 24604 KB Output is correct
53 Correct 93 ms 24404 KB Output is correct
54 Correct 89 ms 24660 KB Output is correct
55 Correct 86 ms 24404 KB Output is correct
56 Correct 108 ms 24400 KB Output is correct
57 Correct 96 ms 24412 KB Output is correct
58 Correct 100 ms 24404 KB Output is correct
59 Correct 100 ms 24604 KB Output is correct
60 Correct 110 ms 24404 KB Output is correct
61 Correct 101 ms 24600 KB Output is correct
62 Correct 3 ms 8540 KB Output is correct
63 Correct 4 ms 8536 KB Output is correct
64 Correct 75 ms 16580 KB Output is correct
65 Correct 86 ms 16468 KB Output is correct
66 Correct 331 ms 24660 KB Output is correct
67 Correct 158 ms 24668 KB Output is correct
68 Correct 149 ms 24656 KB Output is correct
69 Correct 41 ms 24404 KB Output is correct
70 Correct 42 ms 24400 KB Output is correct
71 Correct 50 ms 24420 KB Output is correct
72 Correct 47 ms 24660 KB Output is correct
73 Correct 43 ms 24404 KB Output is correct
74 Correct 39 ms 24404 KB Output is correct
75 Correct 3 ms 8536 KB Output is correct
76 Correct 3 ms 8536 KB Output is correct
77 Correct 3 ms 8540 KB Output is correct
78 Correct 43 ms 24584 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8280 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 2 ms 8284 KB Output is correct
4 Correct 2 ms 8284 KB Output is correct
5 Correct 2 ms 8356 KB Output is correct
6 Correct 2 ms 8336 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 2 ms 8284 KB Output is correct
9 Correct 2 ms 8284 KB Output is correct
10 Correct 2 ms 8284 KB Output is correct
11 Correct 2 ms 8284 KB Output is correct
12 Correct 2 ms 8284 KB Output is correct
13 Correct 2 ms 8280 KB Output is correct
14 Correct 1 ms 8284 KB Output is correct
15 Correct 2 ms 8280 KB Output is correct
16 Correct 2 ms 8280 KB Output is correct
17 Correct 2 ms 8284 KB Output is correct
18 Correct 2 ms 8284 KB Output is correct
19 Correct 2 ms 8284 KB Output is correct
20 Correct 3 ms 8284 KB Output is correct
21 Correct 2 ms 8284 KB Output is correct
22 Correct 3 ms 8284 KB Output is correct
23 Correct 2 ms 8476 KB Output is correct
24 Correct 2 ms 8284 KB Output is correct
25 Correct 2 ms 8284 KB Output is correct
26 Correct 2 ms 8284 KB Output is correct
27 Correct 3 ms 8540 KB Output is correct
28 Correct 3 ms 8536 KB Output is correct
29 Correct 2 ms 8528 KB Output is correct
30 Correct 2 ms 8540 KB Output is correct
31 Correct 2 ms 8540 KB Output is correct
32 Correct 3 ms 8540 KB Output is correct
33 Correct 3 ms 8404 KB Output is correct
34 Correct 2 ms 8400 KB Output is correct
35 Correct 2 ms 8408 KB Output is correct
36 Correct 3 ms 8536 KB Output is correct
37 Correct 2 ms 8460 KB Output is correct
38 Correct 2 ms 8540 KB Output is correct
39 Correct 2 ms 8284 KB Output is correct
40 Correct 2 ms 8284 KB Output is correct
41 Correct 3 ms 8444 KB Output is correct
42 Correct 2 ms 8540 KB Output is correct
43 Correct 2 ms 8536 KB Output is correct
44 Correct 2 ms 8540 KB Output is correct
45 Correct 2 ms 8540 KB Output is correct
46 Correct 2 ms 8284 KB Output is correct
47 Correct 2 ms 8284 KB Output is correct
48 Correct 2 ms 8284 KB Output is correct
49 Correct 2 ms 8284 KB Output is correct
50 Correct 2 ms 8536 KB Output is correct
51 Correct 2 ms 8540 KB Output is correct
52 Correct 2 ms 8540 KB Output is correct
53 Correct 2 ms 8536 KB Output is correct
54 Correct 2 ms 8540 KB Output is correct
55 Correct 2 ms 8584 KB Output is correct
56 Correct 2 ms 8284 KB Output is correct
57 Correct 2 ms 8284 KB Output is correct
58 Correct 2 ms 8400 KB Output is correct
59 Correct 71 ms 24400 KB Output is correct
60 Correct 98 ms 24660 KB Output is correct
61 Correct 88 ms 24400 KB Output is correct
62 Correct 87 ms 24524 KB Output is correct
63 Correct 93 ms 24604 KB Output is correct
64 Correct 93 ms 24404 KB Output is correct
65 Correct 89 ms 24660 KB Output is correct
66 Correct 86 ms 24404 KB Output is correct
67 Correct 108 ms 24400 KB Output is correct
68 Correct 96 ms 24412 KB Output is correct
69 Correct 100 ms 24404 KB Output is correct
70 Correct 100 ms 24604 KB Output is correct
71 Correct 110 ms 24404 KB Output is correct
72 Correct 101 ms 24600 KB Output is correct
73 Correct 3 ms 8540 KB Output is correct
74 Correct 4 ms 8536 KB Output is correct
75 Correct 75 ms 16580 KB Output is correct
76 Correct 86 ms 16468 KB Output is correct
77 Correct 331 ms 24660 KB Output is correct
78 Correct 158 ms 24668 KB Output is correct
79 Correct 149 ms 24656 KB Output is correct
80 Correct 41 ms 24404 KB Output is correct
81 Correct 42 ms 24400 KB Output is correct
82 Correct 50 ms 24420 KB Output is correct
83 Correct 47 ms 24660 KB Output is correct
84 Correct 43 ms 24404 KB Output is correct
85 Correct 39 ms 24404 KB Output is correct
86 Correct 3 ms 8536 KB Output is correct
87 Correct 3 ms 8536 KB Output is correct
88 Correct 3 ms 8540 KB Output is correct
89 Correct 43 ms 24584 KB Output is correct
90 Correct 231 ms 27472 KB Output is correct
91 Correct 497 ms 59248 KB Output is correct
92 Correct 530 ms 58964 KB Output is correct
93 Correct 493 ms 59472 KB Output is correct
94 Correct 547 ms 59220 KB Output is correct
95 Correct 507 ms 59472 KB Output is correct
96 Correct 564 ms 59452 KB Output is correct
97 Correct 164 ms 27736 KB Output is correct
98 Correct 567 ms 59220 KB Output is correct
99 Correct 529 ms 60240 KB Output is correct
100 Correct 543 ms 59472 KB Output is correct
101 Correct 550 ms 58988 KB Output is correct
102 Correct 550 ms 59032 KB Output is correct
103 Correct 537 ms 59412 KB Output is correct
104 Correct 661 ms 49468 KB Output is correct
105 Correct 806 ms 53844 KB Output is correct
106 Correct 1342 ms 67292 KB Output is correct
107 Correct 943 ms 67160 KB Output is correct
108 Correct 1004 ms 67408 KB Output is correct
109 Correct 954 ms 67164 KB Output is correct
110 Correct 958 ms 67432 KB Output is correct
111 Correct 446 ms 59656 KB Output is correct
112 Correct 432 ms 59604 KB Output is correct
113 Correct 805 ms 60500 KB Output is correct
114 Correct 1168 ms 61908 KB Output is correct
115 Correct 688 ms 59784 KB Output is correct
116 Correct 481 ms 60752 KB Output is correct
117 Correct 229 ms 47184 KB Output is correct
118 Correct 195 ms 47440 KB Output is correct
119 Correct 190 ms 45396 KB Output is correct
120 Correct 204 ms 47440 KB Output is correct
121 Correct 192 ms 48472 KB Output is correct
122 Correct 1197 ms 53792 KB Output is correct
123 Correct 1348 ms 61840 KB Output is correct
124 Correct 1380 ms 61840 KB Output is correct
125 Correct 1402 ms 61844 KB Output is correct