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Submission #401768

# Submission time Handle Problem Language Result Execution time Memory
401768 2021-05-10T19:36:59 Z rama_pang Peru (RMI20_peru) C++17
100 / 100
 311 ms 244808 KB 
#include "peru.h"

#include <bits/stdc++.h>
using namespace std;

using lint = long long;
const lint INF = 1e18;

const int MAX = 2.5e6 + 5;

int N, K;
int A[MAX];

lint dp[MAX];
int left_geq[MAX];

int minqhead = 0;
int minqtail = 0;
pair<int, long long> minq[MAX];

int minstsz = 0;
int minst[MAX];

void InsertMinQueue(int p, long long x) {
  while (minqhead < minqtail && minq[minqtail - 1].second >= x) {
    minqtail--;
  }
  minq[minqtail++] = {p, x};
}

void PopQueue(int p) {
  while (minqhead < minqtail && minq[minqhead].first < p) {
    minqhead++;
  }
}

int cost[MAX]; // cost[i] = maximum value in [i - K + 1, i]
int at_most[MAX]; // at_most[i] = farthest segment for current subtree
vector<int> adj[MAX]; // adjacency list

void Dfs(int u, lint alt_dp) { // subtrees form a contiguous segment, so when we DFS we visit them in order 0, 1, 2, ..
  PopQueue(u - K);
  dp[u] = min({alt_dp, dp[max(u - K, 0)] + cost[u], minqhead == minqtail ? INF : minq[minqhead].second});

  reverse(begin(adj[u]), end(adj[u]));
  assert(is_sorted(begin(adj[u]), end(adj[u])));

  for (auto v : adj[u]) {
    if (u + K < at_most[v]) {
      InsertMinQueue(u, dp[u] + A[v]);
      // Note that, nxt_v has distance > K to u, so dp[u] wouldn't exist anymore in minQueue
      Dfs(v, alt_dp);
    } else {
      Dfs(v, min(alt_dp, dp[u] + A[v]));
    }
  }
}

int solve(int n, int k, int* v) {
  N = n, K = k;
  for (int i = 0; i < N; i++) {
    A[i + 1] = v[i];
  }

  { // Compute left_geq[i] = greatest j < i, s.t. V[j] >= V[i]
    for (int i = 1; i <= N; i++) {
      while (minstsz > 0 && A[minst[minstsz - 1]] < A[i]) {
        minstsz--;
      }
      left_geq[i] = minstsz == 0 ? 0 : minst[minstsz - 1];
      minst[minstsz++] = i;
    }
    minstsz = 0;
  }

  { // Compute cost[i]
    minq[minqtail++] = {0, 0}; // for maxQueue
    for (int i = 1; i <= N; i++) {
      while (minqhead < minqtail && minq[minqhead].first <= i - K) {
        minqhead++;
      }
      while (minqhead < minqtail && minq[minqtail - 1].second <= A[i]) {
        minqtail--;
      }
      minq[minqtail++] = {i, A[i]};
      cost[i] = minq[minqhead].second;
    }
    minqhead = minqtail = 0;
  }

  for (int i = N; i >= 1; i--) {
    int p = left_geq[i];
    adj[p].emplace_back(i);
    at_most[i] = max(at_most[i], i);
    at_most[p] = max(at_most[p], at_most[i]);
  }

  Dfs(0, INF);

  int ans = 0;
  for (int i = 1; i <= N; i++) {
    ans = (1ll * ans * 23 + dp[i]) % int(1e9 + 7);
  }

  return ans;
}

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 59148 KB Output is correct
2 Correct 35 ms 59224 KB Output is correct
3 Correct 35 ms 59164 KB Output is correct
4 Correct 28 ms 59088 KB Output is correct
5 Correct 34 ms 59060 KB Output is correct
6 Correct 31 ms 59044 KB Output is correct
7 Correct 29 ms 59220 KB Output is correct
8 Correct 33 ms 59220 KB Output is correct
9 Correct 35 ms 59220 KB Output is correct
10 Correct 32 ms 59144 KB Output is correct
11 Correct 29 ms 59104 KB Output is correct
12 Correct 37 ms 59116 KB Output is correct
13 Correct 36 ms 59172 KB Output is correct
14 Correct 32 ms 59148 KB Output is correct

Subtask #2
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 59148 KB Output is correct
2 Correct 35 ms 59224 KB Output is correct
3 Correct 35 ms 59164 KB Output is correct
4 Correct 28 ms 59088 KB Output is correct
5 Correct 34 ms 59060 KB Output is correct
6 Correct 31 ms 59044 KB Output is correct
7 Correct 29 ms 59220 KB Output is correct
8 Correct 33 ms 59220 KB Output is correct
9 Correct 35 ms 59220 KB Output is correct
10 Correct 32 ms 59144 KB Output is correct
11 Correct 29 ms 59104 KB Output is correct
12 Correct 37 ms 59116 KB Output is correct
13 Correct 36 ms 59172 KB Output is correct
14 Correct 32 ms 59148 KB Output is correct
15 Correct 70 ms 83996 KB Output is correct
16 Correct 83 ms 84528 KB Output is correct
17 Correct 81 ms 86188 KB Output is correct
18 Correct 82 ms 77440 KB Output is correct
19 Correct 90 ms 77352 KB Output is correct
20 Correct 85 ms 77396 KB Output is correct
21 Correct 68 ms 84988 KB Output is correct
22 Correct 71 ms 86860 KB Output is correct
23 Correct 73 ms 86836 KB Output is correct
24 Correct 79 ms 87560 KB Output is correct
25 Correct 77 ms 89076 KB Output is correct
26 Correct 80 ms 84892 KB Output is correct
27 Correct 70 ms 84312 KB Output is correct
28 Correct 90 ms 84672 KB Output is correct
29 Correct 93 ms 84372 KB Output is correct
30 Correct 89 ms 85068 KB Output is correct
31 Correct 73 ms 86328 KB Output is correct
32 Correct 69 ms 85012 KB Output is correct
33 Correct 72 ms 87244 KB Output is correct

Subtask #3
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 83996 KB Output is correct
2 Correct 83 ms 84528 KB Output is correct
3 Correct 81 ms 86188 KB Output is correct
4 Correct 82 ms 77440 KB Output is correct
5 Correct 90 ms 77352 KB Output is correct
6 Correct 85 ms 77396 KB Output is correct
7 Correct 68 ms 84988 KB Output is correct
8 Correct 71 ms 86860 KB Output is correct
9 Correct 73 ms 86836 KB Output is correct
10 Correct 79 ms 87560 KB Output is correct
11 Correct 77 ms 89076 KB Output is correct
12 Correct 80 ms 84892 KB Output is correct
13 Correct 70 ms 84312 KB Output is correct
14 Correct 90 ms 84672 KB Output is correct
15 Correct 93 ms 84372 KB Output is correct
16 Correct 89 ms 85068 KB Output is correct
17 Correct 73 ms 86328 KB Output is correct
18 Correct 69 ms 85012 KB Output is correct
19 Correct 72 ms 87244 KB Output is correct
20 Correct 35 ms 59148 KB Output is correct
21 Correct 35 ms 59224 KB Output is correct
22 Correct 35 ms 59164 KB Output is correct
23 Correct 28 ms 59088 KB Output is correct
24 Correct 34 ms 59060 KB Output is correct
25 Correct 31 ms 59044 KB Output is correct
26 Correct 29 ms 59220 KB Output is correct
27 Correct 33 ms 59220 KB Output is correct
28 Correct 35 ms 59220 KB Output is correct
29 Correct 32 ms 59144 KB Output is correct
30 Correct 29 ms 59104 KB Output is correct
31 Correct 37 ms 59116 KB Output is correct
32 Correct 36 ms 59172 KB Output is correct
33 Correct 32 ms 59148 KB Output is correct
34 Correct 264 ms 217264 KB Output is correct
35 Correct 266 ms 214580 KB Output is correct
36 Correct 254 ms 211748 KB Output is correct
37 Correct 287 ms 217740 KB Output is correct
38 Correct 287 ms 213844 KB Output is correct
39 Correct 297 ms 215684 KB Output is correct
40 Correct 274 ms 227540 KB Output is correct
41 Correct 302 ms 227400 KB Output is correct
42 Correct 269 ms 221376 KB Output is correct
43 Correct 130 ms 120180 KB Output is correct
44 Correct 233 ms 125280 KB Output is correct
45 Correct 234 ms 125192 KB Output is correct
46 Correct 242 ms 125268 KB Output is correct
47 Correct 278 ms 214708 KB Output is correct
48 Correct 280 ms 219344 KB Output is correct
49 Correct 258 ms 215900 KB Output is correct
50 Correct 261 ms 210576 KB Output is correct
51 Correct 285 ms 214276 KB Output is correct
52 Correct 278 ms 215016 KB Output is correct
53 Correct 289 ms 210684 KB Output is correct
54 Correct 300 ms 223488 KB Output is correct
55 Correct 279 ms 206584 KB Output is correct
56 Correct 249 ms 206428 KB Output is correct
57 Correct 252 ms 206540 KB Output is correct
58 Correct 281 ms 211964 KB Output is correct
59 Correct 264 ms 213356 KB Output is correct
60 Correct 273 ms 211912 KB Output is correct
61 Correct 311 ms 244808 KB Output is correct
62 Correct 292 ms 229244 KB Output is correct
63 Correct 257 ms 229352 KB Output is correct