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Submission #252040

# Submission time Handle Problem Language Result Execution time Memory
252040 2020-07-23T21:18:59 Z DS007 Horses (IOI15_horses) C++14
100 / 100
 1306 ms 64084 KB 
#include <bits/stdc++.h>
using namespace std;

const long long N = 5e5, mod = 1e9 + 7;
int n, *x, *y;
set<int> s;

class SegmentTree1 {
    int t[N * 4];

public:
    SegmentTree1() {
        fill(t, t + N * 4, 0);
    }

    void update(int v, int l, int r, int tl, int k) {
        if (l == r && l == tl) {
            t[v] = k;
            return;
        }

        int mid = (l + r) / 2;
        if (tl <= mid)
            update(v * 2, l, mid, tl, k);
        else
            update(v * 2 + 1, mid + 1, r, tl, k);
        t[v] = max(t[v * 2], t[v * 2 + 1]);
    }

    long long query(int v, int l, int r, int tl, int tr) {
        if (tl > tr)
            return -1;
        else if (l == tl && r == tr)
            return t[v];

        int mid = (l + r) / 2;
        return max(query(v * 2, l, mid, tl, min(mid, tr)), query(v * 2 + 1, mid + 1, r, max(tl, mid + 1), tr));
    }
};

class SegmentTree2 {
    long long t[N * 4];

public:
    SegmentTree2() {
        fill(t, t + N * 4, 1);
    }

    void update(int v, int l, int r, int tl, int k) {
        if (l == r && l == tl) {
            t[v] = k;
            return;
        }

        int mid = (l + r) / 2;
        if (tl <= mid)
            update(v * 2, l, mid, tl, k);
        else
            update(v * 2 + 1, mid + 1, r, tl, k);
        t[v] = t[v * 2] * t[v * 2 + 1] % mod;
    }

    long long query(int v, int l, int r, int tl, int tr) {
        if (tl > tr)
            return 1;
        else if (l == tl && r == tr)
            return t[v];

        int mid = (l + r) / 2;
        return query(v * 2, l, mid, tl, min(mid, tr)) * query(v * 2 + 1, mid + 1, r, max(tl, mid + 1), tr) % mod;
    }
};

SegmentTree1 st1;
SegmentTree2 st2;

int query() {
    auto itr = s.rbegin();
    long long temp = 1;
    vector<int> v;

    while (itr != s.rend() && temp < mod) {
        temp *= x[*itr];
        assert(x[*itr] >= 2);
        v.push_back(*itr);
        itr++;
    }

    //for (int i : v)
    //    cerr << i << " ";
    //cerr << endl;

    assert(v.size() <= 32);

    long long ans = 1;

    for (int i = 0; i < v.size(); i++) {
        long long cv = st2.query(1, 0, n - 1, v.back() + 1, v[i]);
        assert(cv < mod);
        ans = max(ans, cv * st1.query(1, 0, n - 1, v[i], n - 1));
        //cerr << cv << " " << ans << endl;
    }
    
    if (ans < mod && temp < mod)
        return int(max(st1.query(1, 0, n - 1, 0, n - 1), st2.query(1, 0, n - 1, 0, v.empty() ? 0 : v.back()) * ans) % mod);

    ans %= mod;
    return int(st2.query(1, 0, n - 1, 0, v.empty() ? 0 : v.back()) * ans % mod);
}

int init(int N, int X[], int Y[]) {
	n = N;
	x = X;
	y = Y;

	for (int i = 0; i < n; i++) {
        st2.update(1, 0, n - 1, i, x[i]);
        if (x[i] > 1)
            s.insert(i);
        st1.update(1, 0, n - 1, i, y[i]);
	}

	return query();
}

int updateX(int pos, int val) {
    s.erase(pos);
    st2.update(1, 0, n - 1, pos, val);
    x[pos] = val;
    if (val > 1)
        s.insert(pos);
	return query();
}

int updateY(int pos, int val) {
	y[pos] = val;
	st1.update(1, 0, n - 1, pos, val);
	return query();
}

Compilation message

horses.cpp: In function 'int query()':
horses.cpp:97:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < v.size(); i++) {
                     ~~^~~~~~~~~~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:111:33: warning: declaration of 'N' shadows a global declaration [-Wshadow]
 int init(int N, int X[], int Y[]) {
                                 ^
horses.cpp:4:17: note: shadowed declaration is here
 const long long N = 5e5, mod = 1e9 + 7;
                 ^
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:130:5: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
     if (val > 1)
     ^~
horses.cpp:132:2: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
  return query();
  ^~~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23808 KB Output is correct
2 Correct 12 ms 23812 KB Output is correct
3 Correct 14 ms 23808 KB Output is correct
4 Correct 12 ms 23808 KB Output is correct
5 Correct 14 ms 23808 KB Output is correct
6 Correct 13 ms 23808 KB Output is correct
7 Correct 11 ms 23808 KB Output is correct
8 Correct 13 ms 23808 KB Output is correct
9 Correct 12 ms 23808 KB Output is correct
10 Correct 12 ms 23808 KB Output is correct
11 Correct 12 ms 23808 KB Output is correct
12 Correct 12 ms 23808 KB Output is correct
13 Correct 13 ms 23808 KB Output is correct
14 Correct 12 ms 23808 KB Output is correct
15 Correct 13 ms 23808 KB Output is correct
16 Correct 12 ms 23808 KB Output is correct
17 Correct 16 ms 23808 KB Output is correct
18 Correct 11 ms 23808 KB Output is correct
19 Correct 12 ms 23808 KB Output is correct
20 Correct 14 ms 23808 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23808 KB Output is correct
2 Correct 12 ms 23808 KB Output is correct
3 Correct 12 ms 23808 KB Output is correct
4 Correct 12 ms 23808 KB Output is correct
5 Correct 12 ms 23808 KB Output is correct
6 Correct 13 ms 23808 KB Output is correct
7 Correct 12 ms 23808 KB Output is correct
8 Correct 12 ms 23808 KB Output is correct
9 Correct 12 ms 23808 KB Output is correct
10 Correct 12 ms 23808 KB Output is correct
11 Correct 13 ms 23936 KB Output is correct
12 Correct 12 ms 23808 KB Output is correct
13 Correct 11 ms 23808 KB Output is correct
14 Correct 11 ms 23808 KB Output is correct
15 Correct 13 ms 23808 KB Output is correct
16 Correct 13 ms 23808 KB Output is correct
17 Correct 11 ms 23808 KB Output is correct
18 Correct 11 ms 23808 KB Output is correct
19 Correct 12 ms 23808 KB Output is correct
20 Correct 12 ms 23808 KB Output is correct
21 Correct 12 ms 23808 KB Output is correct
22 Correct 11 ms 23808 KB Output is correct
23 Correct 13 ms 23808 KB Output is correct
24 Correct 13 ms 23896 KB Output is correct
25 Correct 14 ms 23936 KB Output is correct
26 Correct 13 ms 23936 KB Output is correct
27 Correct 19 ms 23808 KB Output is correct
28 Correct 15 ms 23936 KB Output is correct
29 Correct 20 ms 23808 KB Output is correct
30 Correct 15 ms 23868 KB Output is correct
31 Correct 18 ms 23808 KB Output is correct
32 Correct 17 ms 23808 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1220 ms 52344 KB Output is correct
2 Correct 516 ms 52424 KB Output is correct
3 Correct 590 ms 53300 KB Output is correct
4 Correct 715 ms 59900 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23808 KB Output is correct
2 Correct 11 ms 23808 KB Output is correct
3 Correct 12 ms 23808 KB Output is correct
4 Correct 12 ms 23808 KB Output is correct
5 Correct 12 ms 23808 KB Output is correct
6 Correct 13 ms 23808 KB Output is correct
7 Correct 11 ms 23808 KB Output is correct
8 Correct 12 ms 23808 KB Output is correct
9 Correct 12 ms 23808 KB Output is correct
10 Correct 12 ms 23808 KB Output is correct
11 Correct 13 ms 23808 KB Output is correct
12 Correct 12 ms 23808 KB Output is correct
13 Correct 12 ms 23760 KB Output is correct
14 Correct 12 ms 23808 KB Output is correct
15 Correct 11 ms 23808 KB Output is correct
16 Correct 13 ms 23808 KB Output is correct
17 Correct 12 ms 23808 KB Output is correct
18 Correct 12 ms 23808 KB Output is correct
19 Correct 13 ms 23808 KB Output is correct
20 Correct 12 ms 23808 KB Output is correct
21 Correct 11 ms 23808 KB Output is correct
22 Correct 12 ms 23808 KB Output is correct
23 Correct 13 ms 23808 KB Output is correct
24 Correct 14 ms 23808 KB Output is correct
25 Correct 14 ms 23936 KB Output is correct
26 Correct 14 ms 23936 KB Output is correct
27 Correct 20 ms 23808 KB Output is correct
28 Correct 14 ms 23936 KB Output is correct
29 Correct 14 ms 23808 KB Output is correct
30 Correct 13 ms 23936 KB Output is correct
31 Correct 15 ms 23808 KB Output is correct
32 Correct 18 ms 23808 KB Output is correct
33 Correct 186 ms 29060 KB Output is correct
34 Correct 180 ms 28924 KB Output is correct
35 Correct 334 ms 52472 KB Output is correct
36 Correct 316 ms 52216 KB Output is correct
37 Correct 273 ms 28920 KB Output is correct
38 Correct 266 ms 40768 KB Output is correct
39 Correct 170 ms 28800 KB Output is correct
40 Correct 308 ms 52476 KB Output is correct
41 Correct 234 ms 28800 KB Output is correct
42 Correct 270 ms 28800 KB Output is correct
43 Correct 287 ms 52192 KB Output is correct
44 Correct 295 ms 52216 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23808 KB Output is correct
2 Correct 13 ms 23808 KB Output is correct
3 Correct 11 ms 23808 KB Output is correct
4 Correct 11 ms 23808 KB Output is correct
5 Correct 11 ms 23808 KB Output is correct
6 Correct 12 ms 23808 KB Output is correct
7 Correct 12 ms 23808 KB Output is correct
8 Correct 13 ms 23808 KB Output is correct
9 Correct 12 ms 23808 KB Output is correct
10 Correct 13 ms 23808 KB Output is correct
11 Correct 12 ms 23808 KB Output is correct
12 Correct 12 ms 23808 KB Output is correct
13 Correct 12 ms 23808 KB Output is correct
14 Correct 11 ms 23808 KB Output is correct
15 Correct 11 ms 23808 KB Output is correct
16 Correct 13 ms 23808 KB Output is correct
17 Correct 12 ms 23808 KB Output is correct
18 Correct 12 ms 23808 KB Output is correct
19 Correct 11 ms 23808 KB Output is correct
20 Correct 12 ms 23808 KB Output is correct
21 Correct 12 ms 23936 KB Output is correct
22 Correct 13 ms 23808 KB Output is correct
23 Correct 13 ms 23876 KB Output is correct
24 Correct 13 ms 23808 KB Output is correct
25 Correct 13 ms 23936 KB Output is correct
26 Correct 13 ms 23936 KB Output is correct
27 Correct 18 ms 23808 KB Output is correct
28 Correct 14 ms 23936 KB Output is correct
29 Correct 14 ms 23808 KB Output is correct
30 Correct 15 ms 23936 KB Output is correct
31 Correct 16 ms 23808 KB Output is correct
32 Correct 16 ms 23808 KB Output is correct
33 Correct 1226 ms 53288 KB Output is correct
34 Correct 521 ms 53356 KB Output is correct
35 Correct 565 ms 53260 KB Output is correct
36 Correct 687 ms 59896 KB Output is correct
37 Correct 181 ms 31864 KB Output is correct
38 Correct 177 ms 31864 KB Output is correct
39 Correct 347 ms 62328 KB Output is correct
40 Correct 353 ms 62200 KB Output is correct
41 Correct 286 ms 30072 KB Output is correct
42 Correct 263 ms 42872 KB Output is correct
43 Correct 174 ms 29816 KB Output is correct
44 Correct 311 ms 57228 KB Output is correct
45 Correct 219 ms 29944 KB Output is correct
46 Correct 251 ms 29944 KB Output is correct
47 Correct 296 ms 57720 KB Output is correct
48 Correct 315 ms 57592 KB Output is correct
49 Correct 360 ms 34936 KB Output is correct
50 Correct 341 ms 34936 KB Output is correct
51 Correct 561 ms 64084 KB Output is correct
52 Correct 427 ms 63608 KB Output is correct
53 Correct 1306 ms 33404 KB Output is correct
54 Correct 599 ms 46876 KB Output is correct
55 Correct 305 ms 30840 KB Output is correct
56 Correct 448 ms 59128 KB Output is correct
57 Correct 813 ms 31480 KB Output is correct
58 Correct 1136 ms 32172 KB Output is correct
59 Correct 312 ms 57592 KB Output is correct