oj.uz

Submission #893752

# Submission time Handle Problem Language Result Execution time Memory
893752 2023-12-27T10:56:08 Z Alcabel Remittance (JOI19_remittance) C++17
100 / 100
 241 ms 59996 KB 
#include <bits/stdc++.h>
using namespace std;
 
#ifdef LOCAL
const long long mod = 1e9 + 7;
#else
const long long mod = 2000000000000021ll;
#endif
 
#ifdef LOCAL
typedef long long __int128_t;
#endif
 
struct Modint {
    long long x;
    Modint() {
        x = 0ll;
    }
    Modint(long long _x) {
        while (_x >= mod) {
            _x -= mod;
        }
        while (_x < 0) {
            _x += mod;
        }
        x = _x;
    }
    Modint(__int128_t _x) {
        if (_x >= mod || _x <= -mod) {
            _x %= mod;
        }
        if (_x < 0) {
            _x += mod;
        }
        x = _x;
    }
    Modint operator+(const Modint& other) const {
        return Modint(x + other.x);
    }
    Modint operator-(const Modint& other) const {
        return Modint(x - other.x);
    }
    Modint operator*(const Modint& other) const {
        return Modint((__int128_t)x * other.x);
    }
    void operator+=(const Modint& other) {
        *this = *this + other;
    }
    void operator-=(const Modint& other) {
        *this = *this - other;
    }
    void operator*=(const Modint& other) {
        *this = *this * other;
    }
    Modint operator^(long long k) const {
        Modint tmp = x, res = 1ll;
        while (k > 0) {
            // cerr << k << '\n';
            if (k & 1ll) {
                res *= tmp;
            }
            tmp *= tmp;
            k >>= 1;
        }
        return res;
    }
    ~Modint() {}
};
 
void solve() {
    int n;
    cin >> n;
    vector<int> a(n), b(n);
    for (int i = 0; i < n; ++i) {
        cin >> a[i] >> b[i];
    }
    Modint denom = 1ll;
    for (int i = 0; i < n; ++i) {
        denom = denom + denom;
    }
    // cerr << denom.x << '\n';
    denom = (denom - 1ll) ^ (mod - 2);
    // cerr << (denom * ((1ll << n) - 1)).x << '\n';
    vector<Modint> two(n + 1);
    two[0] = 1ll;
    for (int i = 1; i <= n; ++i) {
        two[i] = two[i - 1] + two[i - 1];
        // cerr << "i: " << i << ", two: " << two[i].x << '\n';
    }
    vector<Modint> pref(n + 1), suf(n + 1);
    for (int i = 1; i <= n; ++i) {
        pref[i] = pref[i - 1] + two[i - 1] * (long long)(b[i - 1] - a[i - 1]);
    }
    for (int i = n - 1; i >= 0; --i) {
        suf[i] = suf[i + 1] + suf[i + 1] + (long long)(b[i] - a[i]);
        // cerr << "i: " << i << ", suf: " << suf[i].x << '\n';
    }
    vector<long long> x(n);
    for (int i = 0; i < n; ++i) {
        Modint xmod = pref[i + 1] * two[n - i - 1] + suf[i + 1];
        /*for (int j = i; j >= 0; --j) {
            xmod = xmod + xmod + (long long)(b[j] - a[j]);
        }
        for (int j = n - 1; j > i; --j) {
            xmod = xmod + xmod + (long long)(b[j] - a[j]);
        }*/
        xmod = (Modint(0ll) - xmod) * denom;
        if (xmod.x > mod / 2) {
            cout << "No\n";
            return;
        }
        x[i] = xmod.x;
    }
    for (int i = 0, prv = n - 1; i < n; ++i, ++prv) {
        if (prv == n) { prv = 0; }
        if (x[prv] - 2 * x[i] != b[i] - a[i]) {
            cout << "No\n";
            return;
        }
    }
    bool change = true;
    while (change) {
        change = false;
        for (int i = 0; i < n; ++i) {
            if (x[i] > 0 && a[i] >= 2) {
                change = true;
                long long trans = min(x[i], a[i] * 1ll / 2);
                x[i] -= trans;
                a[i] -= 2 * trans;
                int nxt = i + 1;
                if (nxt == n) {
                    nxt = 0;
                }
                a[nxt] += trans;
            }
        }
    }
    for (int i = 0; i < n; ++i) {
        if (x[i] != 0) {
            cout << "No\n";
            return;
        }
    }
    cout << "Yes\n";
}
 
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
 
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    int T = 1;
    cin >> T;
    while (T--) {
        solve();
        cerr << "-----------\n";
        cout << "-----------\n";
    }
#else
    int T = 1;
    // cin >> T;
    while (T--) {
        solve();
    }
#endif
 
    return 0;
}
 
/*
2000000000000021
2000000000000077
2000000000000081
*/

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 452 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 452 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 344 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 ms 344 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 344 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 600 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct

Subtask #3
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 452 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 344 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 ms 344 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 344 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 600 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 179 ms 39444 KB Output is correct
64 Correct 124 ms 39504 KB Output is correct
65 Correct 241 ms 58376 KB Output is correct
66 Correct 135 ms 43352 KB Output is correct
67 Correct 149 ms 44876 KB Output is correct
68 Correct 181 ms 47068 KB Output is correct
69 Correct 214 ms 58856 KB Output is correct
70 Correct 109 ms 43348 KB Output is correct
71 Correct 121 ms 44896 KB Output is correct
72 Correct 129 ms 47184 KB Output is correct
73 Correct 182 ms 58968 KB Output is correct
74 Correct 128 ms 43332 KB Output is correct
75 Correct 125 ms 44748 KB Output is correct
76 Correct 133 ms 47188 KB Output is correct
77 Correct 191 ms 58976 KB Output is correct
78 Correct 176 ms 51024 KB Output is correct
79 Correct 146 ms 51024 KB Output is correct
80 Correct 207 ms 51532 KB Output is correct
81 Correct 149 ms 51012 KB Output is correct
82 Correct 140 ms 43340 KB Output is correct
83 Correct 99 ms 43464 KB Output is correct
84 Correct 96 ms 43468 KB Output is correct
85 Correct 229 ms 59908 KB Output is correct
86 Correct 188 ms 59996 KB Output is correct
87 Correct 200 ms 52316 KB Output is correct
88 Correct 183 ms 52300 KB Output is correct