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Submission #939730

# Submission time Handle Problem Language Result Execution time Memory
939730 2024-03-06T17:14:10 Z AdamGS Overtaking (IOI23_overtaking) C++17
100 / 100
 423 ms 59240 KB 
#include "overtaking.h"
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(a, b) for(int a = 0; a < (b); ++a)
#define st first
#define nd second
#define pb push_back
#define all(a) a.begin(), a.end()
const int LIM=1e3+7;
ll dp[LIM][LIM], czas[LIM][LIM], S[LIM], n, m, X;
void init(int L, int N, vector<ll>T, vector<int>W, int _X, int M, vector<int>_S) {
  m=M; X=_X;
  rep(i, m) S[i]=_S[i];
  vector<pair<ll,ll>>P;
  rep(i, N) if(W[i]>X) P.pb({T[i], W[i]});
  n=P.size();
  if(n==0) return;
  sort(all(P));
  rep(i, n) czas[0][i]=P[i].st;
  rep(i, m-1) {
    rep(j, n) P[j].st+=(ll)(S[i+1]-S[i])*P[j].nd;
    rep(j, n-1) P[j+1].st=max(P[j+1].st, P[j].st);
    sort(all(P));
    rep(j, n) czas[i+1][j]=P[j].st;
  }
  rep(i, n) dp[m-1][i]=czas[m-1][i];
  for(int i=m-2; i>=0; --i) {
    dp[i][0]=czas[i][0]+(S[m-1]-S[i])*X;
    for(int j=1; j<n; ++j) {
      int po=i+1, ko=m;
      while(po<ko) {
        int sr=(po+ko)/2;
        if(czas[sr][j-1]>=czas[i][j]+(S[sr]-S[i])*X) ko=sr; else po=sr+1;
      }
      if(po==m) dp[i][j]=czas[i][j]+(S[m-1]-S[i])*X;
      else dp[i][j]=dp[po][j-1];
      if(czas[i][j]==czas[i][j-1]) dp[i][j]=min(dp[i][j], dp[i][j-1]);
    }
    for(int j=n-2; j>=0; --j) if(czas[i][j]==czas[i][j+1]) dp[i][j]=min(dp[i][j], dp[i][j+1]);
  }
}
ll arrival_time(ll Y) {
  if(n==0) return Y+(S[m-1]-S[0])*X;
  int po=0, ko=n-1;
  while(po<ko) {
    int sr=(po+ko)/2;
    if(czas[0][sr]>=Y) ko=sr; else po=sr+1;
  }
  int a=po;
  if(czas[0][a]>=Y) --a;
  if(a==-1) return Y+(S[m-1]-S[0])*X;
  po=1; ko=m;
  while(po<ko) {
    int sr=(po+ko)/2;
    if(czas[sr][a]>=Y+(S[sr]-S[0])*X) ko=sr; else po=sr+1;
  }
  if(po==m) return Y+(S[m-1]-S[0])*X;
  return dp[po][a];
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 4 ms 14684 KB Output is correct
8 Correct 3 ms 15452 KB Output is correct
9 Correct 3 ms 15704 KB Output is correct
10 Correct 3 ms 15452 KB Output is correct
11 Correct 1 ms 344 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2568 KB Output is correct
11 Correct 2 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 2 ms 6492 KB Output is correct
10 Correct 2 ms 6492 KB Output is correct
11 Correct 2 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6584 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 2 ms 6488 KB Output is correct
16 Correct 2 ms 6492 KB Output is correct
17 Correct 2 ms 6492 KB Output is correct
18 Correct 2 ms 7000 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6492 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 6492 KB Output is correct
24 Correct 1 ms 6488 KB Output is correct
25 Correct 1 ms 6744 KB Output is correct
26 Correct 1 ms 6584 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6492 KB Output is correct
29 Correct 1 ms 6492 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 1 ms 6492 KB Output is correct
32 Correct 1 ms 6492 KB Output is correct
33 Correct 1 ms 6744 KB Output is correct
34 Correct 1 ms 6492 KB Output is correct
35 Correct 1 ms 6492 KB Output is correct
36 Correct 1 ms 6492 KB Output is correct
37 Correct 1 ms 6492 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 692 KB Output is correct
40 Correct 1 ms 6492 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 4 ms 14684 KB Output is correct
9 Correct 3 ms 15452 KB Output is correct
10 Correct 3 ms 15704 KB Output is correct
11 Correct 3 ms 15452 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 2 ms 6492 KB Output is correct
17 Correct 2 ms 6492 KB Output is correct
18 Correct 2 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6584 KB Output is correct
21 Correct 1 ms 6492 KB Output is correct
22 Correct 2 ms 6488 KB Output is correct
23 Correct 2 ms 6492 KB Output is correct
24 Correct 2 ms 6492 KB Output is correct
25 Correct 2 ms 7000 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6492 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 1 ms 6488 KB Output is correct
32 Correct 1 ms 6744 KB Output is correct
33 Correct 1 ms 6584 KB Output is correct
34 Correct 1 ms 6492 KB Output is correct
35 Correct 1 ms 6492 KB Output is correct
36 Correct 1 ms 6492 KB Output is correct
37 Correct 1 ms 6492 KB Output is correct
38 Correct 1 ms 6492 KB Output is correct
39 Correct 1 ms 6492 KB Output is correct
40 Correct 1 ms 6744 KB Output is correct
41 Correct 1 ms 6492 KB Output is correct
42 Correct 1 ms 6492 KB Output is correct
43 Correct 1 ms 6492 KB Output is correct
44 Correct 1 ms 6492 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 1 ms 692 KB Output is correct
47 Correct 1 ms 6492 KB Output is correct
48 Correct 56 ms 16320 KB Output is correct
49 Correct 58 ms 16404 KB Output is correct
50 Correct 68 ms 16656 KB Output is correct
51 Correct 58 ms 16212 KB Output is correct
52 Correct 68 ms 16416 KB Output is correct
53 Correct 60 ms 16212 KB Output is correct
54 Correct 58 ms 16412 KB Output is correct
55 Correct 44 ms 16208 KB Output is correct
56 Correct 47 ms 16208 KB Output is correct
57 Correct 49 ms 16612 KB Output is correct
58 Correct 48 ms 16408 KB Output is correct
59 Correct 49 ms 16400 KB Output is correct
60 Correct 47 ms 16464 KB Output is correct
61 Correct 50 ms 16536 KB Output is correct
62 Correct 4 ms 15708 KB Output is correct
63 Correct 2 ms 2648 KB Output is correct
64 Correct 23 ms 16220 KB Output is correct
65 Correct 21 ms 11028 KB Output is correct
66 Correct 34 ms 16484 KB Output is correct
67 Correct 42 ms 16468 KB Output is correct
68 Correct 44 ms 16416 KB Output is correct
69 Correct 39 ms 16584 KB Output is correct
70 Correct 33 ms 16464 KB Output is correct
71 Correct 35 ms 16420 KB Output is correct
72 Correct 49 ms 16412 KB Output is correct
73 Correct 34 ms 16468 KB Output is correct
74 Correct 33 ms 16468 KB Output is correct
75 Correct 2 ms 604 KB Output is correct
76 Correct 2 ms 856 KB Output is correct
77 Correct 1 ms 604 KB Output is correct
78 Correct 34 ms 16376 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 4 ms 14684 KB Output is correct
9 Correct 3 ms 15452 KB Output is correct
10 Correct 3 ms 15704 KB Output is correct
11 Correct 3 ms 15452 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2568 KB Output is correct
23 Correct 2 ms 2392 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 2 ms 6492 KB Output is correct
28 Correct 2 ms 6492 KB Output is correct
29 Correct 2 ms 6492 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 1 ms 6584 KB Output is correct
32 Correct 1 ms 6492 KB Output is correct
33 Correct 2 ms 6488 KB Output is correct
34 Correct 2 ms 6492 KB Output is correct
35 Correct 2 ms 6492 KB Output is correct
36 Correct 2 ms 7000 KB Output is correct
37 Correct 1 ms 6492 KB Output is correct
38 Correct 1 ms 6492 KB Output is correct
39 Correct 1 ms 6492 KB Output is correct
40 Correct 1 ms 4444 KB Output is correct
41 Correct 1 ms 6492 KB Output is correct
42 Correct 1 ms 6488 KB Output is correct
43 Correct 1 ms 6744 KB Output is correct
44 Correct 1 ms 6584 KB Output is correct
45 Correct 1 ms 6492 KB Output is correct
46 Correct 1 ms 6492 KB Output is correct
47 Correct 1 ms 6492 KB Output is correct
48 Correct 1 ms 6492 KB Output is correct
49 Correct 1 ms 6492 KB Output is correct
50 Correct 1 ms 6492 KB Output is correct
51 Correct 1 ms 6744 KB Output is correct
52 Correct 1 ms 6492 KB Output is correct
53 Correct 1 ms 6492 KB Output is correct
54 Correct 1 ms 6492 KB Output is correct
55 Correct 1 ms 6492 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 692 KB Output is correct
58 Correct 1 ms 6492 KB Output is correct
59 Correct 56 ms 16320 KB Output is correct
60 Correct 58 ms 16404 KB Output is correct
61 Correct 68 ms 16656 KB Output is correct
62 Correct 58 ms 16212 KB Output is correct
63 Correct 68 ms 16416 KB Output is correct
64 Correct 60 ms 16212 KB Output is correct
65 Correct 58 ms 16412 KB Output is correct
66 Correct 44 ms 16208 KB Output is correct
67 Correct 47 ms 16208 KB Output is correct
68 Correct 49 ms 16612 KB Output is correct
69 Correct 48 ms 16408 KB Output is correct
70 Correct 49 ms 16400 KB Output is correct
71 Correct 47 ms 16464 KB Output is correct
72 Correct 50 ms 16536 KB Output is correct
73 Correct 4 ms 15708 KB Output is correct
74 Correct 2 ms 2648 KB Output is correct
75 Correct 23 ms 16220 KB Output is correct
76 Correct 21 ms 11028 KB Output is correct
77 Correct 34 ms 16484 KB Output is correct
78 Correct 42 ms 16468 KB Output is correct
79 Correct 44 ms 16416 KB Output is correct
80 Correct 39 ms 16584 KB Output is correct
81 Correct 33 ms 16464 KB Output is correct
82 Correct 35 ms 16420 KB Output is correct
83 Correct 49 ms 16412 KB Output is correct
84 Correct 34 ms 16468 KB Output is correct
85 Correct 33 ms 16468 KB Output is correct
86 Correct 2 ms 604 KB Output is correct
87 Correct 2 ms 856 KB Output is correct
88 Correct 1 ms 604 KB Output is correct
89 Correct 34 ms 16376 KB Output is correct
90 Correct 80 ms 19448 KB Output is correct
91 Correct 307 ms 51140 KB Output is correct
92 Correct 311 ms 50628 KB Output is correct
93 Correct 297 ms 51272 KB Output is correct
94 Correct 302 ms 51024 KB Output is correct
95 Correct 293 ms 51280 KB Output is correct
96 Correct 293 ms 51400 KB Output is correct
97 Correct 72 ms 19536 KB Output is correct
98 Correct 291 ms 51036 KB Output is correct
99 Correct 307 ms 52116 KB Output is correct
100 Correct 336 ms 51356 KB Output is correct
101 Correct 298 ms 51056 KB Output is correct
102 Correct 304 ms 50908 KB Output is correct
103 Correct 293 ms 51240 KB Output is correct
104 Correct 265 ms 49220 KB Output is correct
105 Correct 269 ms 48208 KB Output is correct
106 Correct 331 ms 59208 KB Output is correct
107 Correct 306 ms 58836 KB Output is correct
108 Correct 310 ms 59224 KB Output is correct
109 Correct 349 ms 58964 KB Output is correct
110 Correct 322 ms 59240 KB Output is correct
111 Correct 268 ms 51536 KB Output is correct
112 Correct 267 ms 51536 KB Output is correct
113 Correct 337 ms 52548 KB Output is correct
114 Correct 397 ms 53672 KB Output is correct
115 Correct 322 ms 51748 KB Output is correct
116 Correct 274 ms 52520 KB Output is correct
117 Correct 175 ms 39248 KB Output is correct
118 Correct 179 ms 39508 KB Output is correct
119 Correct 175 ms 37340 KB Output is correct
120 Correct 188 ms 39760 KB Output is correct
121 Correct 185 ms 40372 KB Output is correct
122 Correct 286 ms 45600 KB Output is correct
123 Correct 423 ms 53588 KB Output is correct
124 Correct 406 ms 53712 KB Output is correct
125 Correct 412 ms 53832 KB Output is correct