Submission #847786

# Submission time Handle Problem Language Result Execution time Memory
847786 2023-09-10T12:16:35 Z sofapuden Overtaking (IOI23_overtaking) C++17
100 / 100
2672 ms 45976 KB
#include<bits/stdc++.h>
#include "overtaking.h"

using namespace std;

typedef long long ll;

vector<pair<ll, int>> arr;
vector<vector<ll>> dp;
vector<vector<ll>> E;
vector<ll> nT;
vector<int> nW, nS;
ll l, n, speed, m;

void init(int L, int N, vector<ll> T, vector<int> W, int X, int M, vector<int> S){
	E.resize(M, vector<ll> (N));
	dp.resize(M, vector<ll> (N, -1));
	for(int i = 0; i < N; ++i){
		if(W[i] > X){
			nT.push_back(T[i]);
			nW.push_back(W[i]);
		}
	}
	N = nT.size();
	T = nT;
	W = nW;
	l = L, n = N, speed = X, m = M, nS = S;
	arr.resize(N);
	for(int i = 0; i < N; ++i)arr[i] = {T[i], W[i]};
	sort(arr.begin(),arr.end());
	for(int i = 0; i < N; ++i)E[0][i] = arr[i].first;
	for(int i = 1; i < M; ++i){
		for(int j = 0; j < N; ++j){
			arr[j].first += 1ll * arr[j].second * (S[i] - S[i-1]);
			if(j)arr[j].first = max(arr[j].first, arr[j-1].first);
			E[i][j] = arr[j].first;
		}
		sort(arr.begin(),arr.end());
	}
    return;
}

long long f(int X, int Y){
	auto &d = dp[X][Y];
	if(~d)return d;
	if(Y == 0){
		return d = E[X][Y] + speed * (nS[m - 1] - nS[X]);
	}
	if(E[X][Y] == E[X][Y - 1]){
		return d = f(X, Y - 1);
	}
	//bin search
	for(int i = X + 1; i < m; ++i){
		if(E[X][Y] + speed * (nS[i] - nS[X]) <= E[i][Y-1]) return d = f(i, Y - 1);
	}
	return d = E[X][Y] + speed * (nS[m - 1] - nS[X]);
}

long long arrival_time(long long Y){
	// bin search
	int st = n - 1;
	for(int i = 0; i < n; ++i)if(Y <= E[0][i]){ st = i - 1; break; } 
	if(st == -1){
		return Y + speed * (nS[m-1] - nS[0]);
	}
	for(int i = 1; i < m; ++i){
		if(Y + speed * (nS[i] - nS[0]) <= E[i][st])return f(i, st);
	}
	return Y + speed * (nS[m-1] - nS[0]);
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 524 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 2 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 0 ms 604 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 0 ms 604 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 600 KB Output is correct
37 Correct 1 ms 856 KB Output is correct
38 Correct 0 ms 604 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 0 ms 604 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 0 ms 604 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 1 ms 344 KB Output is correct
38 Correct 1 ms 344 KB Output is correct
39 Correct 1 ms 600 KB Output is correct
40 Correct 1 ms 600 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 600 KB Output is correct
44 Correct 1 ms 856 KB Output is correct
45 Correct 0 ms 604 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 344 KB Output is correct
48 Correct 24 ms 16220 KB Output is correct
49 Correct 35 ms 16520 KB Output is correct
50 Correct 34 ms 16216 KB Output is correct
51 Correct 31 ms 16220 KB Output is correct
52 Correct 31 ms 16288 KB Output is correct
53 Correct 32 ms 16220 KB Output is correct
54 Correct 32 ms 16216 KB Output is correct
55 Correct 27 ms 16472 KB Output is correct
56 Correct 31 ms 16216 KB Output is correct
57 Correct 34 ms 16260 KB Output is correct
58 Correct 29 ms 16216 KB Output is correct
59 Correct 33 ms 16252 KB Output is correct
60 Correct 32 ms 16260 KB Output is correct
61 Correct 30 ms 16216 KB Output is correct
62 Correct 4 ms 604 KB Output is correct
63 Correct 2 ms 604 KB Output is correct
64 Correct 13 ms 8280 KB Output is correct
65 Correct 14 ms 8284 KB Output is correct
66 Correct 34 ms 16324 KB Output is correct
67 Correct 27 ms 16216 KB Output is correct
68 Correct 28 ms 16256 KB Output is correct
69 Correct 35 ms 16280 KB Output is correct
70 Correct 30 ms 16220 KB Output is correct
71 Correct 30 ms 16288 KB Output is correct
72 Correct 32 ms 16220 KB Output is correct
73 Correct 31 ms 16220 KB Output is correct
74 Correct 31 ms 16220 KB Output is correct
75 Correct 7 ms 16216 KB Output is correct
76 Correct 8 ms 16172 KB Output is correct
77 Correct 7 ms 16220 KB Output is correct
78 Correct 24 ms 16216 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 524 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 2 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 0 ms 604 KB Output is correct
30 Correct 1 ms 600 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 0 ms 604 KB Output is correct
35 Correct 1 ms 600 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 344 KB Output is correct
49 Correct 1 ms 344 KB Output is correct
50 Correct 1 ms 600 KB Output is correct
51 Correct 1 ms 600 KB Output is correct
52 Correct 1 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 1 ms 600 KB Output is correct
55 Correct 1 ms 856 KB Output is correct
56 Correct 0 ms 604 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 24 ms 16220 KB Output is correct
60 Correct 35 ms 16520 KB Output is correct
61 Correct 34 ms 16216 KB Output is correct
62 Correct 31 ms 16220 KB Output is correct
63 Correct 31 ms 16288 KB Output is correct
64 Correct 32 ms 16220 KB Output is correct
65 Correct 32 ms 16216 KB Output is correct
66 Correct 27 ms 16472 KB Output is correct
67 Correct 31 ms 16216 KB Output is correct
68 Correct 34 ms 16260 KB Output is correct
69 Correct 29 ms 16216 KB Output is correct
70 Correct 33 ms 16252 KB Output is correct
71 Correct 32 ms 16260 KB Output is correct
72 Correct 30 ms 16216 KB Output is correct
73 Correct 4 ms 604 KB Output is correct
74 Correct 2 ms 604 KB Output is correct
75 Correct 13 ms 8280 KB Output is correct
76 Correct 14 ms 8284 KB Output is correct
77 Correct 34 ms 16324 KB Output is correct
78 Correct 27 ms 16216 KB Output is correct
79 Correct 28 ms 16256 KB Output is correct
80 Correct 35 ms 16280 KB Output is correct
81 Correct 30 ms 16220 KB Output is correct
82 Correct 30 ms 16288 KB Output is correct
83 Correct 32 ms 16220 KB Output is correct
84 Correct 31 ms 16220 KB Output is correct
85 Correct 31 ms 16220 KB Output is correct
86 Correct 7 ms 16216 KB Output is correct
87 Correct 8 ms 16172 KB Output is correct
88 Correct 7 ms 16220 KB Output is correct
89 Correct 24 ms 16216 KB Output is correct
90 Correct 85 ms 18564 KB Output is correct
91 Correct 943 ms 41868 KB Output is correct
92 Correct 780 ms 41520 KB Output is correct
93 Correct 994 ms 41612 KB Output is correct
94 Correct 852 ms 41796 KB Output is correct
95 Correct 935 ms 41804 KB Output is correct
96 Correct 981 ms 41532 KB Output is correct
97 Correct 131 ms 18516 KB Output is correct
98 Correct 931 ms 41548 KB Output is correct
99 Correct 930 ms 41872 KB Output is correct
100 Correct 949 ms 41548 KB Output is correct
101 Correct 932 ms 41548 KB Output is correct
102 Correct 959 ms 41356 KB Output is correct
103 Correct 938 ms 41612 KB Output is correct
104 Correct 293 ms 32832 KB Output is correct
105 Correct 387 ms 35152 KB Output is correct
106 Correct 484 ms 45904 KB Output is correct
107 Correct 419 ms 45900 KB Output is correct
108 Correct 423 ms 45904 KB Output is correct
109 Correct 414 ms 45916 KB Output is correct
110 Correct 422 ms 45976 KB Output is correct
111 Correct 2672 ms 42064 KB Output is correct
112 Correct 2479 ms 41880 KB Output is correct
113 Correct 2584 ms 42748 KB Output is correct
114 Correct 1484 ms 43912 KB Output is correct
115 Correct 2363 ms 43100 KB Output is correct
116 Correct 2634 ms 42644 KB Output is correct
117 Correct 193 ms 43848 KB Output is correct
118 Correct 193 ms 43856 KB Output is correct
119 Correct 186 ms 42828 KB Output is correct
120 Correct 198 ms 44276 KB Output is correct
121 Correct 192 ms 44892 KB Output is correct
122 Correct 2223 ms 38796 KB Output is correct
123 Correct 1658 ms 43916 KB Output is correct
124 Correct 1396 ms 43912 KB Output is correct
125 Correct 1350 ms 43688 KB Output is correct