oj.uz

답안 #975132

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
975132 2024-05-04T13:26:41 Z yoav_s 밀림 점프 (APIO21_jumps) C++17
44 / 100
 4000 ms 61328 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;
    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;
            else if (i == -1 || H[k] > H[i]) 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:232:1: warning: "/*" within comment [-Wcomment]
  232 | /**/
      |  
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;
      |                ^~~~
jumps.cpp: In function 'void init(int, std::vector<int>)':
jumps.cpp:117:22: warning: comparison of integer expressions of different signedness: 'll' {aka 'int'} and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  117 |     for (ll i = 0; i < hSorted.size(); i++) H[hSorted[i].s] = i;
      |                    ~~^~~~~~~~~~~~~~~~

Subtask #1
0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Execution timed out 4082 ms 49032 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #2
8.0 / 8.0

# 결과 실행 시간 메모리 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 1 ms 344 KB Output is correct
6 Correct 2 ms 344 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 2 ms 344 KB Output is correct
11 Correct 2 ms 344 KB Output is correct
12 Correct 2 ms 344 KB Output is correct
13 Correct 2 ms 344 KB Output is correct
14 Correct 2 ms 344 KB Output is correct
15 Correct 2 ms 344 KB Output is correct
16 Correct 2 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 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 0 ms 344 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 2 ms 344 KB Output is correct
29 Correct 1 ms 344 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 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 372 KB Output is correct
38 Correct 0 ms 596 KB Output is correct
39 Correct 0 ms 344 KB Output is correct

Subtask #3
13.0 / 13.0

# 결과 실행 시간 메모리 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 1 ms 344 KB Output is correct
6 Correct 2 ms 344 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 2 ms 344 KB Output is correct
11 Correct 2 ms 344 KB Output is correct
12 Correct 2 ms 344 KB Output is correct
13 Correct 2 ms 344 KB Output is correct
14 Correct 2 ms 344 KB Output is correct
15 Correct 2 ms 344 KB Output is correct
16 Correct 2 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 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 0 ms 344 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 2 ms 344 KB Output is correct
29 Correct 1 ms 344 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 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 372 KB Output is correct
38 Correct 0 ms 596 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 0 ms 344 KB Output is correct
43 Correct 0 ms 344 KB Output is correct
44 Correct 1 ms 344 KB Output is correct
45 Correct 1 ms 344 KB Output is correct
46 Correct 1 ms 344 KB Output is correct
47 Correct 2 ms 596 KB Output is correct
48 Correct 1 ms 344 KB Output is correct
49 Correct 2 ms 344 KB Output is correct
50 Correct 2 ms 344 KB Output is correct
51 Correct 2 ms 344 KB Output is correct
52 Correct 2 ms 344 KB Output is correct
53 Correct 2 ms 344 KB Output is correct
54 Correct 2 ms 344 KB Output is correct
55 Correct 2 ms 344 KB Output is correct
56 Correct 1 ms 344 KB Output is correct
57 Correct 0 ms 344 KB Output is correct
58 Correct 163 ms 856 KB Output is correct
59 Correct 306 ms 920 KB Output is correct
60 Correct 16 ms 600 KB Output is correct
61 Correct 300 ms 936 KB Output is correct
62 Correct 9 ms 344 KB Output is correct
63 Correct 293 ms 916 KB Output is correct
64 Correct 507 ms 956 KB Output is correct
65 Correct 498 ms 952 KB Output is correct
66 Correct 490 ms 1108 KB Output is correct
67 Correct 298 ms 932 KB Output is correct
68 Correct 355 ms 1104 KB Output is correct
69 Correct 105 ms 1104 KB Output is correct
70 Correct 126 ms 952 KB Output is correct
71 Correct 1 ms 344 KB Output is correct
72 Correct 0 ms 344 KB Output is correct
73 Correct 1 ms 344 KB Output is correct
74 Correct 1 ms 344 KB Output is correct
75 Correct 1 ms 344 KB Output is correct
76 Correct 1 ms 344 KB Output is correct
77 Correct 1 ms 344 KB Output is correct
78 Correct 0 ms 344 KB Output is correct
79 Correct 0 ms 344 KB Output is correct
80 Correct 1 ms 344 KB Output is correct
81 Correct 1 ms 344 KB Output is correct
82 Correct 1 ms 344 KB Output is correct
83 Correct 1 ms 344 KB Output is correct
84 Correct 1 ms 344 KB Output is correct
85 Correct 1 ms 344 KB Output is correct
86 Correct 0 ms 344 KB Output is correct
87 Correct 0 ms 344 KB Output is correct
88 Correct 0 ms 344 KB Output is correct
89 Correct 0 ms 344 KB Output is correct
90 Correct 0 ms 344 KB Output is correct
91 Correct 0 ms 344 KB Output is correct
92 Correct 1 ms 340 KB Output is correct
93 Correct 1 ms 344 KB Output is correct
94 Correct 2 ms 344 KB Output is correct
95 Correct 14 ms 936 KB Output is correct
96 Correct 11 ms 856 KB Output is correct
97 Correct 11 ms 956 KB Output is correct
98 Correct 14 ms 1112 KB Output is correct
99 Correct 8 ms 856 KB Output is correct
100 Correct 0 ms 344 KB Output is correct
101 Correct 1 ms 600 KB Output is correct
102 Correct 9 ms 944 KB Output is correct
103 Correct 9 ms 980 KB Output is correct
104 Correct 10 ms 1104 KB Output is correct
105 Correct 12 ms 1116 KB Output is correct
106 Correct 8 ms 856 KB Output is correct
107 Correct 1 ms 344 KB Output is correct
108 Correct 1 ms 600 KB Output is correct
109 Correct 2 ms 856 KB Output is correct
110 Correct 2 ms 856 KB Output is correct
111 Correct 2 ms 856 KB Output is correct
112 Correct 2 ms 856 KB Output is correct
113 Correct 3 ms 856 KB Output is correct

Subtask #4
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 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 819 ms 47596 KB Output is correct
6 Execution timed out 4013 ms 58400 KB Time limit exceeded
7 Halted 0 ms 0 KB -

Subtask #5
23.0 / 23.0

# 결과 실행 시간 메모리 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 164 ms 26812 KB Output is correct
5 Correct 695 ms 58140 KB Output is correct
6 Correct 398 ms 10060 KB Output is correct
7 Correct 725 ms 58148 KB Output is correct
8 Correct 378 ms 20532 KB Output is correct
9 Correct 776 ms 58000 KB Output is correct
10 Correct 920 ms 61104 KB Output is correct
11 Correct 724 ms 61196 KB Output is correct
12 Correct 858 ms 61328 KB Output is correct
13 Correct 713 ms 58488 KB Output is correct
14 Correct 789 ms 58056 KB Output is correct
15 Correct 597 ms 57116 KB Output is correct
16 Correct 609 ms 57220 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 2 ms 352 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 600 KB Output is correct
27 Correct 11 ms 948 KB Output is correct
28 Correct 10 ms 976 KB Output is correct
29 Correct 8 ms 1112 KB Output is correct
30 Correct 12 ms 1112 KB Output is correct
31 Correct 9 ms 936 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 65 ms 33604 KB Output is correct
34 Correct 122 ms 58148 KB Output is correct
35 Correct 114 ms 61028 KB Output is correct
36 Correct 124 ms 58544 KB Output is correct
37 Correct 138 ms 58052 KB Output is correct
38 Correct 110 ms 56868 KB Output is correct

Subtask #6
0 / 21.0

# 결과 실행 시간 메모리 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 164 ms 26812 KB Output is correct
5 Correct 695 ms 58140 KB Output is correct
6 Correct 398 ms 10060 KB Output is correct
7 Correct 725 ms 58148 KB Output is correct
8 Correct 378 ms 20532 KB Output is correct
9 Correct 776 ms 58000 KB Output is correct
10 Correct 920 ms 61104 KB Output is correct
11 Correct 724 ms 61196 KB Output is correct
12 Correct 858 ms 61328 KB Output is correct
13 Correct 713 ms 58488 KB Output is correct
14 Correct 789 ms 58056 KB Output is correct
15 Correct 597 ms 57116 KB Output is correct
16 Correct 609 ms 57220 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 2 ms 352 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 600 KB Output is correct
27 Correct 11 ms 948 KB Output is correct
28 Correct 10 ms 976 KB Output is correct
29 Correct 8 ms 1112 KB Output is correct
30 Correct 12 ms 1112 KB Output is correct
31 Correct 9 ms 936 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 65 ms 33604 KB Output is correct
34 Correct 122 ms 58148 KB Output is correct
35 Correct 114 ms 61028 KB Output is correct
36 Correct 124 ms 58544 KB Output is correct
37 Correct 138 ms 58052 KB Output is correct
38 Correct 110 ms 56868 KB Output is correct
39 Correct 0 ms 344 KB Output is correct
40 Correct 0 ms 344 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 178 ms 26768 KB Output is correct
43 Correct 697 ms 58148 KB Output is correct
44 Correct 408 ms 9936 KB Output is correct
45 Correct 691 ms 58140 KB Output is correct
46 Correct 354 ms 20452 KB Output is correct
47 Correct 669 ms 58192 KB Output is correct
48 Correct 865 ms 61120 KB Output is correct
49 Correct 746 ms 61208 KB Output is correct
50 Correct 710 ms 61248 KB Output is correct
51 Correct 680 ms 58908 KB Output is correct
52 Correct 801 ms 57976 KB Output is correct
53 Correct 645 ms 57392 KB Output is correct
54 Correct 622 ms 57240 KB Output is correct
55 Correct 0 ms 344 KB Output is correct
56 Correct 874 ms 57888 KB Output is correct
57 Execution timed out 4091 ms 58416 KB Time limit exceeded
58 Halted 0 ms 0 KB -

Subtask #7
0 / 19.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Execution timed out 4082 ms 49032 KB Time limit exceeded
4 Halted 0 ms 0 KB -