oj.uz

Submission #1114263

# Submission time Handle Problem Language Result Execution time Memory
1114263 2024-11-18T13:18:49 Z ljtunas Zoltan (COCI16_zoltan) C++14
140 / 140
 105 ms 17780 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long
#define fi first
#define se second
#define Rep(i, n)  for(int i = 1; i <= n; ++i)
#define For(i, a, b) for(int i = a; i <= b; ++i)
#define Ford(i, a, b) for(int i = a; i >= b; --i)
#define Forv(v, h) for(auto &v : h)
#define Bit(x, i) ((x) >> (i) & 1ll)
#define onbit(x, i) ((x)  (1ll << i))
#define offbit(x, i) ((x) &~ (1ll << i))
#define cnt_bit(x) __builtin_popcountll(x)
#define Log2(x) (63 - __builtin_clzll(x))
#define all(h) h.begin(), h.end()
#define reset(h, v) (memset(h, v, sizeof(h)))
#define memoryof(v) (sizeof(v) / 1024 / 1024)

using ii  = pair<int, int>;
using ull = unsigned long long;
using db  = long double;
using vi  = vector<int>;
using vvi  = vector<vi>;
using vii  = vector<ii>;

const int dx[] = {0, 0, +1, -1};
const int dy[] = {-1, +1, 0, 0};
const int MAXN = 2e5  + 10;
const int  MOD = 1e9  + 7;
const int   oo = 1e18 + 1;
const int base = 311;

template <class X, class Y> bool maximize(X &a, const Y &b) {
    if(a < b) return a = b, true;
    return false;
}

//template <class X, class Y> bool minimize(X &a, const Y &b) {
//    if(a > b) return a = b, true;
//    return false;
//}

// (x, y) -> (u, v) = Ckn(u - x, x + y - u - v);
// Ckn(k, a) * Ckn(k, b) = C(a, a + b);  (k : 1 -> min(a, b))

void fixmod(int &val) {
    if (val < 0) val += MOD*MOD;
    val %= MOD;
}

int Pow(int a, int n) {
    int res = 1;
    while (n > 0) {
        if (n & 1) res = (res * a) % MOD;
        a = (a * a) % MOD, n >>= 1;
    }
    return res;
}

int n;

void combine(ii & x, const ii& y) {
    if (x.fi == y.fi) x.se += y.se, fixmod(x.se);
    else if (x.fi < y.fi) {
        x = y;
    }
}

struct fenwick {
    ii bit[2][MAXN];
    void upd(bool t, int u, ii val)
    {
        if (!t) for (; u <= n; u += u&-u) combine(bit[t][u], val);
        else for (; u; u -= u&-u) combine(bit[t][u], val);
    }
    ii get(bool t, int u)
    {
        ii res = {0, 0};
        if (t) for (; u <= n; u += u&-u) combine(res, bit[t][u]);
        else for (; u; u -= u&-u) combine(res, bit[t][u]);
        return res;
    }
} ac;

void Progess() {
    cin >> n;
    vector <int> a(n);
    For (i, 0, n - 1) cin >> a[i];
    vector<int> vct = a; sort(all(vct));
    For (i, 0, n - 1) {
        a[i] = lower_bound(all(vct), a[i]) - vct.begin() + 1;
    }
    vector <ii> lis(n), lds(n);
    Ford (i, n - 1, 0) {
        lis[i] = ac.get(0, a[i] - 1);
        if (lis[i].fi == 0) {
            lis[i] = {0, 1};
            ac.upd(0, a[i], {1, 1});
        } else {
            ac.upd(0, a[i], {lis[i].fi + 1, lis[i].se});
        }

        lds[i] = ac.get(1, a[i] + 1);
        if (lds[i].fi == 0) {
            lds[i] = {0, 1};
            ac.upd(1, a[i], {1, 1});
        } else {
            ac.upd(1, a[i], {lds[i].fi + 1, lds[i].se});
        }
//        cerr << lis[i].fi << ' ' << lds[i].fi << '\n';
    }

    ii res = {0, 0};
    For (i, 0, n - 1) combine(res, {lis[i].fi + lds[i].fi + 1, (lis[i].se * lds[i].se) % MOD});
    int ans = (res.se * Pow(2, n - res.fi)) % MOD;
    cout << res.fi << ' ' << ans << '\n';
}

signed main(void) {
    ios_base::sync_with_stdio(false);cin.tie(nullptr);
    cout.tie(nullptr);

    #define task "zoltan"
    if (fopen(task".inp", "r")) {
        freopen(task".inp", "r", stdin);
        freopen(task".out", "w", stdout);
    }//_______________________________
    Progess();
    cerr << "\nTime elapsed: " << (1.0 * clock() / CLOCKS_PER_SEC) << " s.\n";
    return (0 ^ 0);
}

Compilation message

zoltan.cpp: In function 'int main()':
zoltan.cpp:127:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  127 |         freopen(task".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
zoltan.cpp:128:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  128 |         freopen(task".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
140.0 / 140.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 2 ms 336 KB Output is correct
10 Correct 2 ms 336 KB Output is correct
11 Correct 55 ms 13884 KB Output is correct
12 Correct 51 ms 12112 KB Output is correct
13 Correct 46 ms 11424 KB Output is correct
14 Correct 69 ms 12360 KB Output is correct
15 Correct 88 ms 15432 KB Output is correct
16 Correct 105 ms 17780 KB Output is correct
17 Correct 72 ms 17224 KB Output is correct
18 Correct 67 ms 17224 KB Output is correct
19 Correct 70 ms 17228 KB Output is correct
20 Correct 73 ms 17224 KB Output is correct