oj.uz

Submission #164385

# Submission time Handle Problem Language Result Execution time Memory
164385 2019-11-20T06:13:12 Z tri Horses (IOI15_horses) C++14
100 / 100
 796 ms 86984 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;

#define pb push_back
#define f first
#define s second

namespace debug {
    const int DEBUG = true;

    template<class T1, class T2>
    void pr(const pair<T1, T2> &x);

    template<class T, size_t SZ>
    void pr(const array<T, SZ> &x);

    template<class T>
    void pr(const vector<T> &x);

    template<class T>
    void pr(const set<T> &x);

    template<class T1, class T2>
    void pr(const map<T1, T2> &x);

    template<class T>
    void pr(const T &x) { if (DEBUG) cout << x; }

    template<class T, class... Ts>
    void pr(const T &first, const Ts &... rest) { pr(first), pr(rest...); }

    template<class T1, class T2>
    void pr(const pair<T1, T2> &x) { pr("{", x.f, ", ", x.s, "}"); }

    template<class T>
    void prIn(const T &x) {
        pr("{");
        bool fst = 1;
        for (auto &a : x) {
            pr(fst ? "" : ", ", a), fst = 0;
        }
        pr("}");
    }

    template<class T, size_t SZ>
    void pr(const array<T, SZ> &x) { prIn(x); }

    template<class T>
    void pr(const vector<T> &x) { prIn(x); }

    template<class T>
    void pr(const set<T> &x) { prIn(x); }

    template<class T1, class T2>
    void pr(const map<T1, T2> &x) { prIn(x); }

    void ps() { pr("\n"), cout << flush; }

    template<class Arg, class... Args>
    void ps(const Arg &first, const Args &... rest) {
        pr(first, " ");
        ps(rest...);
    }
}
using namespace debug;

const int MAXN = 600000;
const ll MOD = 1e9 + 7;

struct ProdTr {
    ll tr[4 * MAXN];

    void b(int i, int l, int r, int o[]) {
        if (l == r) {
            tr[i] = o[l];
            return;
        }
        int mid = (l + r) / 2;
        b(i * 2, l, mid, o);
        b(i * 2 + 1, mid + 1, r, o);
        tr[i] = tr[i * 2] * tr[i * 2 + 1] % MOD;
    }

    ll q(int i, int l, int r, int s, int e) {
        if (e < l || r < s) {
            return 1;
        }
        if (s <= l && r <= e) {
            return tr[i];
        }
        int mid = (l + r) / 2;
        return q(i * 2, l, mid, s, e) * q(i * 2 + 1, mid + 1, r, s, e) % MOD;
    }

    void u(int i, int l, int r, int x, int d) {
        if (l == r) {
            tr[i] = d;
            return;
        }
        int mid = (l + r) / 2;
        if (x <= mid) {
            u(i * 2, l, mid, x, d);
        } else {
            u(i * 2 + 1, mid + 1, r, x, d);
        }
        tr[i] = tr[i * 2] * tr[i * 2 + 1] % MOD;
    }
} prodTr;

struct MaxTr {
    ll tr[4 * MAXN];

    void b(int i, int l, int r, int o[]) {
        if (l == r) {
            tr[i] = o[l];
            return;
        }
        int mid = (l + r) / 2;
        b(i * 2, l, mid, o);
        b(i * 2 + 1, mid + 1, r, o);
        tr[i] = max(tr[i * 2], tr[i * 2 + 1]);
    }

    ll q(int i, int l, int r, int s, int e) {
        if (e < l || r < s) {
            return 0;
        }
        if (s <= l && r <= e) {
            return tr[i];
        }
        int mid = (l + r) / 2;
        return max(q(i * 2, l, mid, s, e), q(i * 2 + 1, mid + 1, r, s, e));
    }

    void u(int i, int l, int r, int x, int d) {
        if (l == r) {
            tr[i] = d;
            return;
        }
        int mid = (l + r) / 2;
        if (x <= mid) {
            u(i * 2, l, mid, x, d);
        } else {
            u(i * 2 + 1, mid + 1, r, x, d);
        }
        tr[i] = max(tr[i * 2], tr[i * 2 + 1]);
    }
} maxTr;

int N;

vl X, Y;

bool first = true;
set<int> notO;

ll query() {
    if (first) {
//        ps(notO);
        first = false;
    }
    auto it = notO.end(); // at N + 1 mark
    it--;

    int bI = -1;
    ll bY = -1;

    long double bestV = -1;

    ll denom = 1;
    // more than 30 not 1's will produce factor greater than 10^9
    while (denom < 1e9) {
        int last = *it;
        it--;
        int i = *it;
//        ps("i", i);

        ll cY = maxTr.q(1, 1, N, i, last - 1);
        if ((ld) cY / denom > bestV) {
            bestV = (ld) cY / denom;
            bI = i;
            bY = cY;
        }

        denom *= X[i];

        if (it == notO.begin()) {
            break;
        }
    }

//    ps("bI, bY:", bI, bY);

    ll ans = prodTr.q(1, 1, N, 1, bI) * bY % MOD;
    return ans;
}

int init(int iN, int iX[], int iY[]) {
    N = iN;

    fill(prodTr.tr, prodTr.tr + 4 * MAXN, 1);
    fill(maxTr.tr, maxTr.tr + 4 * MAXN, 0);

    //1-indexing
    X.pb(-1);
    Y.pb(-1);

    X.pb(1);
    Y.pb(1);
    for (int i = 0; i < N; i++) {
        X.pb(iX[i]);
        Y.pb(iY[i]);
    }

    N++;

    for (int i = 1; i <= N; i++) {
        prodTr.u(1, 1, N, i, X[i]);
        maxTr.u(1, 1, N, i, Y[i]);
        if (X[i] != 1) {
            notO.insert(i);
        }
    }

    notO.insert(1);
    notO.insert(N + 1);

//    ps(X);
//    ps(Y);
//    ps(notO);
    return query();
}

int updateX(int i, int v) {
    i += 2;
//    ps("changing", i, v);
    X[i] = v;
    prodTr.u(1, 1, N, i, v);
    if (v == 1) {
        notO.erase(i);
    } else {
        notO.insert(i);
    }
    return query();
}

int updateY(int i, int v) {
    i += 2;
    Y[i] = v;
    maxTr.u(1, 1, N, i, v);
    return query();
}

Compilation message

horses.cpp: In function 'll query()':
horses.cpp:182:20: warning: conversion to 'double' from 'll {aka long long int}' may alter its value [-Wconversion]
     while (denom < 1e9) {
                    ^~~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:228:34: warning: conversion to 'int' from '__gnu_cxx::__alloc_traits<std::allocator<long long int> >::value_type {aka long long int}' may alter its value [-Wconversion]
         prodTr.u(1, 1, N, i, X[i]);
                                  ^
horses.cpp:229:33: warning: conversion to 'int' from '__gnu_cxx::__alloc_traits<std::allocator<long long int> >::value_type {aka long long int}' may alter its value [-Wconversion]
         maxTr.u(1, 1, N, i, Y[i]);
                                 ^
horses.cpp:241:17: warning: conversion to 'int' from 'll {aka long long int}' may alter its value [-Wconversion]
     return query();
            ~~~~~^~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:254:17: warning: conversion to 'int' from 'll {aka long long int}' may alter its value [-Wconversion]
     return query();
            ~~~~~^~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:261:17: warning: conversion to 'int' from 'll {aka long long int}' may alter its value [-Wconversion]
     return query();
            ~~~~~^~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 37884 KB Output is correct
2 Correct 32 ms 37880 KB Output is correct
3 Correct 33 ms 37880 KB Output is correct
4 Correct 32 ms 38008 KB Output is correct
5 Correct 32 ms 37880 KB Output is correct
6 Correct 32 ms 37880 KB Output is correct
7 Correct 32 ms 37880 KB Output is correct
8 Correct 32 ms 37880 KB Output is correct
9 Correct 32 ms 37880 KB Output is correct
10 Correct 32 ms 37880 KB Output is correct
11 Correct 32 ms 37880 KB Output is correct
12 Correct 32 ms 37880 KB Output is correct
13 Correct 32 ms 37880 KB Output is correct
14 Correct 32 ms 37880 KB Output is correct
15 Correct 33 ms 37880 KB Output is correct
16 Correct 32 ms 37880 KB Output is correct
17 Correct 32 ms 38008 KB Output is correct
18 Correct 32 ms 37880 KB Output is correct
19 Correct 35 ms 37880 KB Output is correct
20 Correct 32 ms 37880 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 37880 KB Output is correct
2 Correct 38 ms 37852 KB Output is correct
3 Correct 33 ms 37880 KB Output is correct
4 Correct 32 ms 37880 KB Output is correct
5 Correct 32 ms 37840 KB Output is correct
6 Correct 33 ms 37880 KB Output is correct
7 Correct 33 ms 37880 KB Output is correct
8 Correct 32 ms 37880 KB Output is correct
9 Correct 33 ms 37880 KB Output is correct
10 Correct 32 ms 37880 KB Output is correct
11 Correct 33 ms 37880 KB Output is correct
12 Correct 59 ms 37908 KB Output is correct
13 Correct 34 ms 37880 KB Output is correct
14 Correct 32 ms 37880 KB Output is correct
15 Correct 32 ms 37880 KB Output is correct
16 Correct 32 ms 37880 KB Output is correct
17 Correct 32 ms 37904 KB Output is correct
18 Correct 32 ms 37880 KB Output is correct
19 Correct 33 ms 37832 KB Output is correct
20 Correct 32 ms 37880 KB Output is correct
21 Correct 32 ms 37880 KB Output is correct
22 Correct 34 ms 37916 KB Output is correct
23 Correct 37 ms 38008 KB Output is correct
24 Correct 33 ms 38008 KB Output is correct
25 Correct 33 ms 38008 KB Output is correct
26 Correct 75 ms 38008 KB Output is correct
27 Correct 35 ms 38008 KB Output is correct
28 Correct 33 ms 38008 KB Output is correct
29 Correct 33 ms 38008 KB Output is correct
30 Correct 34 ms 38064 KB Output is correct
31 Correct 34 ms 38008 KB Output is correct
32 Correct 35 ms 38008 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 796 ms 74200 KB Output is correct
2 Correct 576 ms 86984 KB Output is correct
3 Correct 577 ms 78184 KB Output is correct
4 Correct 684 ms 81824 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 37880 KB Output is correct
2 Correct 32 ms 37880 KB Output is correct
3 Correct 35 ms 37880 KB Output is correct
4 Correct 32 ms 37880 KB Output is correct
5 Correct 32 ms 37880 KB Output is correct
6 Correct 33 ms 37880 KB Output is correct
7 Correct 32 ms 37880 KB Output is correct
8 Correct 32 ms 38004 KB Output is correct
9 Correct 32 ms 37880 KB Output is correct
10 Correct 32 ms 37880 KB Output is correct
11 Correct 32 ms 38008 KB Output is correct
12 Correct 32 ms 37880 KB Output is correct
13 Correct 33 ms 38008 KB Output is correct
14 Correct 32 ms 37900 KB Output is correct
15 Correct 32 ms 38008 KB Output is correct
16 Correct 32 ms 37880 KB Output is correct
17 Correct 33 ms 37880 KB Output is correct
18 Correct 32 ms 38008 KB Output is correct
19 Correct 32 ms 37880 KB Output is correct
20 Correct 32 ms 37852 KB Output is correct
21 Correct 45 ms 37888 KB Output is correct
22 Correct 32 ms 38136 KB Output is correct
23 Correct 33 ms 38008 KB Output is correct
24 Correct 33 ms 38008 KB Output is correct
25 Correct 33 ms 38008 KB Output is correct
26 Correct 33 ms 38008 KB Output is correct
27 Correct 34 ms 38008 KB Output is correct
28 Correct 34 ms 38052 KB Output is correct
29 Correct 33 ms 37980 KB Output is correct
30 Correct 33 ms 38008 KB Output is correct
31 Correct 34 ms 38008 KB Output is correct
32 Correct 34 ms 38008 KB Output is correct
33 Correct 220 ms 53832 KB Output is correct
34 Correct 219 ms 53988 KB Output is correct
35 Correct 453 ms 84264 KB Output is correct
36 Correct 440 ms 84064 KB Output is correct
37 Correct 254 ms 52176 KB Output is correct
38 Correct 325 ms 64724 KB Output is correct
39 Correct 209 ms 51920 KB Output is correct
40 Correct 431 ms 79248 KB Output is correct
41 Correct 227 ms 52076 KB Output is correct
42 Correct 243 ms 52168 KB Output is correct
43 Correct 430 ms 79588 KB Output is correct
44 Correct 445 ms 79568 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 37880 KB Output is correct
2 Correct 32 ms 37924 KB Output is correct
3 Correct 32 ms 37884 KB Output is correct
4 Correct 32 ms 37880 KB Output is correct
5 Correct 32 ms 37880 KB Output is correct
6 Correct 84 ms 37880 KB Output is correct
7 Correct 32 ms 37880 KB Output is correct
8 Correct 31 ms 37852 KB Output is correct
9 Correct 32 ms 37880 KB Output is correct
10 Correct 32 ms 37904 KB Output is correct
11 Correct 34 ms 37852 KB Output is correct
12 Correct 32 ms 37880 KB Output is correct
13 Correct 32 ms 37880 KB Output is correct
14 Correct 32 ms 37880 KB Output is correct
15 Correct 32 ms 37852 KB Output is correct
16 Correct 31 ms 37940 KB Output is correct
17 Correct 32 ms 37880 KB Output is correct
18 Correct 32 ms 37892 KB Output is correct
19 Correct 32 ms 37884 KB Output is correct
20 Correct 31 ms 37920 KB Output is correct
21 Correct 32 ms 37876 KB Output is correct
22 Correct 31 ms 37880 KB Output is correct
23 Correct 33 ms 38008 KB Output is correct
24 Correct 33 ms 38008 KB Output is correct
25 Correct 33 ms 38008 KB Output is correct
26 Correct 36 ms 38008 KB Output is correct
27 Correct 35 ms 38008 KB Output is correct
28 Correct 33 ms 38008 KB Output is correct
29 Correct 33 ms 38008 KB Output is correct
30 Correct 34 ms 37956 KB Output is correct
31 Correct 34 ms 38008 KB Output is correct
32 Correct 37 ms 38008 KB Output is correct
33 Correct 781 ms 78160 KB Output is correct
34 Correct 581 ms 86808 KB Output is correct
35 Correct 630 ms 78084 KB Output is correct
36 Correct 668 ms 81872 KB Output is correct
37 Correct 220 ms 53972 KB Output is correct
38 Correct 219 ms 53996 KB Output is correct
39 Correct 518 ms 84340 KB Output is correct
40 Correct 460 ms 84176 KB Output is correct
41 Correct 253 ms 52180 KB Output is correct
42 Correct 334 ms 64720 KB Output is correct
43 Correct 306 ms 51920 KB Output is correct
44 Correct 446 ms 79440 KB Output is correct
45 Correct 251 ms 52000 KB Output is correct
46 Correct 276 ms 52108 KB Output is correct
47 Correct 441 ms 79720 KB Output is correct
48 Correct 444 ms 79688 KB Output is correct
49 Correct 361 ms 56784 KB Output is correct
50 Correct 329 ms 57040 KB Output is correct
51 Correct 605 ms 85960 KB Output is correct
52 Correct 510 ms 85620 KB Output is correct
53 Correct 710 ms 55168 KB Output is correct
54 Correct 541 ms 68864 KB Output is correct
55 Correct 346 ms 53064 KB Output is correct
56 Correct 537 ms 81104 KB Output is correct
57 Correct 568 ms 53648 KB Output is correct
58 Correct 596 ms 54264 KB Output is correct
59 Correct 430 ms 79692 KB Output is correct