Submission #975123

# Submission time Handle Problem Language Result Execution time Memory
975123 2024-05-04T13:18:51 Z yoav_s Rainforest Jumps (APIO21_jumps) C++17
23 / 100
4000 ms 59684 KB
#include <bits/stdc++.h>

using namespace std;

typedef int ll;
typedef vector<ll> v;
typedef vector<v> vv;
typedef vector<vv> vvv;
typedef pair<ll, ll> p;
typedef vector<p> vp;
typedef vector<vp> vvp;
typedef vector<vvp> vvvp;
typedef pair<ll, p> tri;
typedef vector<tri> vtri;
typedef vector<vtri> vvtri;
typedef vector<vvtri> vvvtri;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vector<vvb> vvvb;

#define f first
#define s second
#define pb push_back
#define eb emplace_back
#define all(v) (v).begin(),(v).end()

const ll INF = 1e18;
const ll mod = 1e9 + 7;

#include "jumps.h"

v H;
ll N;
v nextHigher;
v prevHigher;
v st;
ll n;
vv largestLifting;
v rightHeight;
ll logN;
v nextLargest;
vv nextLifting;
vv st2;

ll query(ll l, ll r, v &st, bool maxi = true)
{
    ll n = st.size() / 2;
    l += n;
    r += n;
    ll res = maxi? -INF : INF;
    while (l <= r)
    {
        if (l % 2 == 1)
        {
            if (maxi)
                res = max(res, st[l]);
            else
                res = min(res, st[l]);
            l++;
        }
        if (r % 2 == 0)
        {
            if (maxi)
                res = max(res,st[r]);
            else
                res = min(res, st[l]);
            r--;
        }
        l /= 2;
        r /= 2;
    }
    return res;
}

ll largestSmaller(ll l, ll r, ll threshold, vv &st)
{
    ll n = st.size() / 2;
    ll tl = n, tr = threshold + n - 1;
    v segs, segsRev;
    while (tl <= tr)
    {
        if (tl % 2 == 1)
        {
            segs.pb(tl);
            tl++;
        }
        if (tr % 2 == 0)
        {
            segsRev.pb(tr);
            tr--;
        }
        tl /= 2; tr /= 2;
    }
    reverse(all(segs)); for (ll x : segs) segsRev.pb(x);
    for (ll x : segsRev)
    {
        auto ptr = lower_bound(all(st[x]), l);
        if (ptr != st[x].end() && (*ptr) <= r)
        {
            while (x < n)
            {
                auto ptr = lower_bound(all(st[2 * x + 1]), l);
                if (ptr != st[2 * x + 1].end() && (*ptr) <= r) x = 2 * x + 1;
                else x *= 2;
            }
            return st[x][0];
        }
    }
    return -1;
}

void init(int Nn, std::vector<int> Hh) {
    /*
    vp hSorted;
    for (ll i =0 ; i < Nn; i++) hSorted.eb(Hh[i], i);
    sort(all(hSorted));
    H = v(Nn, -1);
    for (ll i = 0; i < hSorted.size(); i++) H[hSorted[i].s] = i;*/
    for (auto x : Hh) H.pb(x);
    N = Nn;
    nextHigher = v(N, N);
    stack<p> mon;
    for (ll i = N - 1; i >= 0; i--)
    {
        while (!mon.empty() && mon.top().s <= H[i]) mon.pop();
        if (!mon.empty()) nextHigher[i] = mon.top().f;
        mon.emplace(i, H[i]);
    }
    mon = stack<p>();
    prevHigher = v(N, -1);
    for (ll i = 0; i < N; i++)
    {
        while (!mon.empty() && mon.top().s <= H[i]) mon.pop();
        if (!mon.empty()) prevHigher[i] = mon.top().f;
        mon.emplace(i, H[i]);
    }
    n = pow(2, ceil(log2(N)));
    st = v(2 * n, -INF);
    for (ll i = 0; i < N; i++) st[n + i] = H[i];
    for (ll i = n - 1;  i> 0; i--) st[i] = max(st[2 * i], st[2 * i + 1]);
    nextLargest = v(N, -1);
    for (ll i = 0; i < N; i++)
    {
        if (nextHigher[i] != N) nextLargest[i] = nextHigher[i];
        if (prevHigher[i] != -1 && (nextLargest[i] == -1 || H[nextLargest[i]] < H[prevHigher[i]])) nextLargest[i] = prevHigher[i];
    }
    logN = log2(N);
    largestLifting = vv(N, v(logN + 1, -1));
    for (ll i = 0; i < N; i++) largestLifting[i][0] = nextLargest[i];
    for (ll iter = 1; iter <= logN; iter++)
    {
        for (ll i= 0; i < N; i++)
        {
            if (largestLifting[i][iter - 1] == -1) largestLifting[i][iter] = -1;
            else largestLifting[i][iter] = largestLifting[largestLifting[i][iter - 1]][iter - 1];
        }
    }
    vv nextHigherRev(N + 1);
    for (ll i =0; i <N; i++) nextHigherRev[nextHigher[i]].pb(i);
    rightHeight = v(N + 1, 0);
    stack<p> dfs;
    dfs.emplace(N, 0);
    while (!dfs.empty())
    {
        auto top = dfs.top();
        dfs.pop();
        rightHeight[top.f] = top.s;
        for (ll x : nextHigherRev[top.f]) dfs.emplace(x, top.s + 1);
    }
    /*
    st2 = vv(2 * n, v());
    for (ll i = 0; i < N; i++) st2[H[i] + n] = {i};
    for (ll i = n - 1;  i> 0; i--)
    {
        merge(all(st2[2 * i]), all(st2[2 * i + 1]), back_inserter(st2[i]));
    }
    */
    nextLifting = vv(N + 1, v(logN + 1, N));
    for (ll i = 0; i < N; i++) nextLifting[i][0] = nextHigher[i];
    for (ll i = 1; i <= logN; i++)
    {
        for (ll j = 0; j < N; j++)
        {
            nextLifting[j][i] = nextLifting[nextLifting[j][i - 1]][i - 1];
        }
    }
}

int minimum_jumps(int A, int B, int C, int D) {
    ll mini = INF;
    for (ll j = C; j <= D; j++)
    {
        //ll i = largestSmaller(A, B, H[j], st2);
        ll i = -1;
        for (ll k = A; k <= B; k++) if (H[k] < H[j] && (i == -1 || H[i] < H[k])) i = k;
        if (i == -1 || query(i, j - 1, st, true) > H[j]) continue;
        ll steps = 0;
        ll cur = i;
        for (ll k = logN; k >= 0; k--)
        {
            if (largestLifting[cur][k] != -1 && H[largestLifting[cur][k]] <= H[j])
            {
                cur = largestLifting[cur][k];
                steps += (1 << k);
            }
        }
        steps += abs(rightHeight[cur] - rightHeight[j]);
        mini = min(mini, steps);
    }
    if (mini == INF) mini = -1;
    return mini;
}
/*
int main() {
  int N, Q;
  assert(2 == scanf("%d %d", &N, &Q));
  std::vector<int> H(N);
  for (int i = 0; i < N; ++i) {
    assert(1 == scanf("%d", &H[i]));
  }
  init(N, H);

  for (int i = 0; i < Q; ++i) {
    int A, B, C, D;
    assert(4 == scanf("%d %d %d %d", &A, &B, &C, &D));
    printf("%d\n", minimum_jumps(A, B, C, D));
  }
  return 0;
}
/**/

Compilation message

jumps.cpp:230:1: warning: "/*" within comment [-Wcomment]
  230 | /**/
      |  
jumps.cpp:27:16: warning: overflow in conversion from 'double' to 'll' {aka 'int'} changes value from '1.0e+18' to '2147483647' [-Woverflow]
   27 | const ll INF = 1e18;
      |                ^~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 596 KB Output is correct
3 Execution timed out 4064 ms 47908 KB Time limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Incorrect 1 ms 344 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Incorrect 1 ms 344 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 904 ms 45968 KB Output is correct
6 Execution timed out 4091 ms 56496 KB Time limit exceeded
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 157 ms 25988 KB Output is correct
5 Correct 683 ms 56408 KB Output is correct
6 Correct 405 ms 9652 KB Output is correct
7 Correct 722 ms 56376 KB Output is correct
8 Correct 358 ms 20024 KB Output is correct
9 Correct 675 ms 56468 KB Output is correct
10 Correct 824 ms 59444 KB Output is correct
11 Correct 756 ms 59444 KB Output is correct
12 Correct 885 ms 59684 KB Output is correct
13 Correct 722 ms 57128 KB Output is correct
14 Correct 868 ms 56496 KB Output is correct
15 Correct 681 ms 55476 KB Output is correct
16 Correct 651 ms 55476 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 12 ms 856 KB Output is correct
28 Correct 9 ms 1116 KB Output is correct
29 Correct 10 ms 1100 KB Output is correct
30 Correct 10 ms 928 KB Output is correct
31 Correct 9 ms 1112 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 50 ms 32736 KB Output is correct
34 Correct 113 ms 56872 KB Output is correct
35 Correct 103 ms 59432 KB Output is correct
36 Correct 105 ms 56956 KB Output is correct
37 Correct 106 ms 56372 KB Output is correct
38 Correct 95 ms 55212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 157 ms 25988 KB Output is correct
5 Correct 683 ms 56408 KB Output is correct
6 Correct 405 ms 9652 KB Output is correct
7 Correct 722 ms 56376 KB Output is correct
8 Correct 358 ms 20024 KB Output is correct
9 Correct 675 ms 56468 KB Output is correct
10 Correct 824 ms 59444 KB Output is correct
11 Correct 756 ms 59444 KB Output is correct
12 Correct 885 ms 59684 KB Output is correct
13 Correct 722 ms 57128 KB Output is correct
14 Correct 868 ms 56496 KB Output is correct
15 Correct 681 ms 55476 KB Output is correct
16 Correct 651 ms 55476 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 12 ms 856 KB Output is correct
28 Correct 9 ms 1116 KB Output is correct
29 Correct 10 ms 1100 KB Output is correct
30 Correct 10 ms 928 KB Output is correct
31 Correct 9 ms 1112 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 50 ms 32736 KB Output is correct
34 Correct 113 ms 56872 KB Output is correct
35 Correct 103 ms 59432 KB Output is correct
36 Correct 105 ms 56956 KB Output is correct
37 Correct 106 ms 56372 KB Output is correct
38 Correct 95 ms 55212 KB Output is correct
39 Correct 0 ms 344 KB Output is correct
40 Correct 0 ms 344 KB Output is correct
41 Correct 0 ms 344 KB Output is correct
42 Correct 150 ms 26004 KB Output is correct
43 Correct 646 ms 56368 KB Output is correct
44 Correct 401 ms 9872 KB Output is correct
45 Correct 671 ms 56372 KB Output is correct
46 Correct 401 ms 20032 KB Output is correct
47 Correct 704 ms 56612 KB Output is correct
48 Correct 822 ms 59544 KB Output is correct
49 Correct 727 ms 59428 KB Output is correct
50 Correct 789 ms 59444 KB Output is correct
51 Correct 685 ms 57152 KB Output is correct
52 Correct 822 ms 56380 KB Output is correct
53 Correct 622 ms 55556 KB Output is correct
54 Correct 583 ms 55620 KB Output is correct
55 Correct 0 ms 344 KB Output is correct
56 Incorrect 1002 ms 56368 KB Output isn't correct
57 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 596 KB Output is correct
3 Execution timed out 4064 ms 47908 KB Time limit exceeded
4 Halted 0 ms 0 KB -