Submission #421730

#	Time	Username	Problem	Language	Result	Execution time	Memory
421730		usachevd0	Packing Biscuits (IOI20_biscuits)	C++14	9 / 100	1103 ms	162868 KiB

biscuits

#include <bits/stdc++.h>
#ifndef LOCAL
    #include "biscuits.h"
#endif

using namespace std;

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define all(a) (a).begin(), (a).end()
#define Time (clock() * 1.0 / CLOCKS_PER_SEC)
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using ld = long double;
template<typename T1, typename T2> bool chkmin(T1& x, T2 y) {
    return y < x ? (x = y, true) : false;
}
template<typename T1, typename T2> bool chkmax(T1& x, T2 y) {
    return y > x ? (x = y, true) : false;
}
void debug_out() {
    cerr << endl;
}
template<typename T1, typename... T2> void debug_out(T1 A, T2... B) {
    cerr << ' ' << A;
    debug_out(B...);
}
template<typename T> void mdebug_out(T* a, int n) {
    for (int i = 0; i < n; ++i)
        cerr << a[i] << ' ';
    cerr << endl;
}
#ifdef LOCAL
    #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
    #define mdebug(a, n) cerr << #a << ": ", mdebug_out(a, n)
#else
    #define debug(...) 1337
    #define mdebug(a, n) 1337
#endif
template<typename T> ostream& operator << (ostream& stream, const vector<T>& v) {
    for (auto& e : v)
        stream << e << ' ';
    return stream;
}
template<typename T1, typename T2> ostream& operator << (ostream& stream, const pair<T1, T2>& p) {
    return stream << p.first << ' ' << p.second;
}


const ll INF64 = 1e18;

ll count_tastiness_stu(ll x, vector<ll> a) {
    int k = a.size();
    
    ll sum = 0;
    for (int i = 0; i < k; ++i)
        sum += (a[i] << i);
    
    auto good = [&](ll y) -> bool {
        vector<ll> b(all(a));
        int j = k - 1;
        for (int i = k - 1; i >= 0; --i) {
            chkmin(j, i);
            if ((y >> i) & 1) {
                ll need = x;
                for (; j >= 0; --j) {
                    if (b[j] >= need) {
                        b[j] -= need;
                        need = 0;
                        break;
                    }
                    need -= b[j];
                    b[j] = 0;
                    need *= 2;
                }
                if (need) return false;
            }
        }
        return true;
    };
    
    ll ans = 1;
    for (ll y = 1; y <= 200000 && x * y <= sum; ++y) {
        ans += good(y);
    }
    return ans;
}

ll count_tastiness(ll x, vector<ll> a) {
    int k = a.size();
    
    ll sum = 0;
    for (int i = 0; i < k; ++i)
        sum += (a[i] << i);
    
    ll ans = 0;
    int tot = 0;
    
    map<pair<vector<ll>, int>, ll> mem;
    
    function<ll(vector<ll>, int)> rec = [&](vector<ll> b, int i) -> ll {
        while (b.size() > i + 1) b.pop_back();
        if (i < b.size()) a[i] -= a[i] % x;
        if (i == -1) return 1;
        pair<vector<ll>, int> key = {b, i};
        if (mem.count(key)) return mem[key];
        
        ll ans = rec(b, i - 1);
        
        ll need = x;
        for (int j = i; j >= 0; --j) {
            if (j >= b.size()) {
                need *= 2;
                if (need > INF64) break;
                continue;
            }
            if (b[j] >= need) {
                b[j] -= need;
                need = 0;
                break;
            }
            need -= b[j];
            b[j] = 0;
            need *= 2;
            if (need > INF64) break;
        }
        if (!need) {
            ans += rec(b, i - 1);
        }
        
        return mem[key] = ans;
    };
    
    return rec(a, 59);
    
    // ll ans = 1;
    // for (ll y = 1; y <= 200000 && x * y <= sum; ++y) {
    //     ans += good(y);
    // }
    // return ans;
}


#ifdef LOCAL

mt19937 rng(228);
ll randll(ll L, ll R) {
    return rng() % (R - L + 1) + L;
}

int32_t main() {
    #ifdef LOCAL
        freopen("in", "r", stdin);
    #endif
    ios::sync_with_stdio(0);
    cin.tie(0);
    
    /*const ll C = 4;
    for (int test = 1; ; ++test) {
        ll x = 1;
        int k = 2;
        vector<ll> a(k);
        for (auto& x : a)
            x = randll(0, C);
        if (count_tastiness(x, a) != count_tastiness_stu(x, a)) {
            cout << "1\n";
            cout << x << ' ' << k << '\n';
            cout << a << '\n';
            exit(0);
        }
        if (test % 1000 == 0) debug(test);
    }/**/
    
    int q;
    assert(scanf("%d", &q) == 1);
    vector<int> k(q);
    vector<long long> x(q);
    vector<vector<long long>> a(q);
    vector<long long> results(q);
    for (int t = 0; t < q; t++) {
        assert(scanf("%d%lld", &k[t], &x[t]) == 2);
        a[t] = vector<long long>(k[t]);
        for (int i = 0; i < k[t]; i++) {
            assert(scanf("%lld", &a[t][i]) == 1);
        }
    }
    fclose(stdin);

    for (int t = 0; t < q; t++) {
        results[t] = count_tastiness(x[t], a[t]);
    }
    for (int t = 0; t < q; t++) {
        printf("%lld\n", results[t]);
    }
    fclose(stdout);
    
    
    return 0;
}


#endif

Compilation message (stderr)

biscuits.cpp:178:6: warning: "/*" within comment [-Wcomment]
  178 |     }/**/
      |       
biscuits.cpp: In lambda function:
biscuits.cpp:108:25: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  108 |         while (b.size() > i + 1) b.pop_back();
      |                ~~~~~~~~~^~~~~~~
biscuits.cpp:109:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  109 |         if (i < b.size()) a[i] -= a[i] % x;
      |             ~~^~~~~~~~~~
biscuits.cpp:118:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  118 |             if (j >= b.size()) {
      |                 ~~^~~~~~~~~~~
biscuits.cpp: In function 'll count_tastiness(ll, std::vector<long long int>)':
biscuits.cpp:102:8: warning: unused variable 'ans' [-Wunused-variable]
  102 |     ll ans = 0;
      |        ^~~
biscuits.cpp:103:9: warning: unused variable 'tot' [-Wunused-variable]
  103 |     int tot = 0;
      |         ^~~

• Subtask 1: 9 / 9
• Subtask 2: 0 / 12
• Subtask 3: 0 / 21
• Subtask 4: 0 / 35
• Subtask 5: 0 / 23