Submission #44777674
Source Code Expand
#include<bits/stdc++.h>
using namespace std;
#define ll long long
ll gcd(ll a, ll b)
{
    if (b == 0) return a;
    return gcd(b, a % b);
}
ll extgcd(ll a, ll b, ll& x, ll& y)
{
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    ll c = extgcd(b, a % b, y, x);
    y -= a / b * x;
    return c;
}
ll divFloor(ll x, ll y)
{
    if (x % y == 0) return x / y;
    if (x >= 0) return x / y;
    else return -((-x) / y) - 1LL;
}
ll divCeil(ll x, ll y)
{
    if (x % y == 0) return x / y;
    if (x >= 0) return x / y + 1LL;
    else return -((-x) / y);
}
int main()
{
    ll n, a0, b0, c0, x;
    cin >> n >> a0 >> b0 >> c0 >> x;
    ll gbc = gcd(b0, c0);
    ll ans = 0;
    for (int i = 1; i <= n; ++i)
	{
        ll y = x - a0 * i;
        if (y < 0) break;
        if (y % gbc > 0) continue;
        ll gbcy = gcd(y, gbc);
        ll b = b0 / gbcy;
        ll c = c0 / gbcy;
        y /= gbcy;
        ll j0, k0;
        extgcd(b, c, j0, k0);
        j0 *= y % b;
        k0 *= y % b;
        j0 += y / b;
        ll mjmin = divCeil(1 - j0, c);
        ll mjmax = divFloor(n - j0, c);
        ll mkmin = divCeil(k0 - n, b);
        ll mkmax = divFloor(k0 - 1, b);
        ll mmin = max(mjmin, mkmin);
        ll mmax = min(mjmax, mkmax);
        if (mmax >= mmin) ans += mmax - mmin + 1;
    }
    cout << ans << endl;
    return 0;
}
			Submission Info
| Submission Time | |
|---|---|
| Task | G - Ai + Bj + Ck = X (1 <= i, j, k <= N) | 
| User | Astatinear | 
| Language | C++ 20 (gcc 12.2) | 
| Score | 550 | 
| Code Size | 1419 Byte | 
| Status | AC | 
| Exec Time | 158 ms | 
| Memory | 3652 KiB | 
Judge Result
| Set Name | Sample | All | ||||
|---|---|---|---|---|---|---|
| Score / Max Score | 0 / 0 | 550 / 550 | ||||
| Status | 
 | 
 | 
| Set Name | Test Cases | 
|---|---|
| Sample | sample_01.txt, sample_02.txt, sample_03.txt | 
| All | sample_01.txt, sample_02.txt, sample_03.txt, test_01.txt, test_02.txt, test_03.txt, test_04.txt, test_05.txt, test_06.txt, test_07.txt, test_08.txt, test_09.txt, test_10.txt, test_11.txt, test_12.txt, test_13.txt, test_14.txt, test_15.txt, test_16.txt, test_17.txt, test_18.txt, test_19.txt, test_20.txt, test_21.txt, test_22.txt, test_23.txt, test_24.txt, test_25.txt, test_26.txt, test_27.txt, test_28.txt, test_29.txt, test_30.txt, test_31.txt, test_32.txt, test_33.txt, test_34.txt, test_35.txt, test_36.txt, test_37.txt, test_38.txt, test_39.txt, test_40.txt, test_41.txt, test_42.txt, test_43.txt, test_44.txt, test_45.txt, test_46.txt, test_47.txt, test_48.txt, test_49.txt, test_50.txt, test_51.txt, test_52.txt, test_53.txt, test_54.txt, test_55.txt, test_56.txt, test_57.txt, test_58.txt, test_59.txt, test_60.txt, test_61.txt, test_62.txt, test_63.txt, test_64.txt, test_65.txt, test_66.txt, test_67.txt, test_68.txt, test_69.txt, test_70.txt, test_71.txt, test_72.txt, test_73.txt, test_74.txt, test_75.txt, test_76.txt, test_77.txt, test_78.txt, test_79.txt, test_80.txt, test_81.txt, test_82.txt, test_83.txt, test_84.txt, test_85.txt, test_86.txt, test_87.txt, test_88.txt, test_89.txt, test_90.txt, test_91.txt, test_92.txt, test_93.txt, test_94.txt, test_95.txt, test_96.txt, test_97.txt, test_98.txt | 
| Case Name | Status | Exec Time | Memory | 
|---|---|---|---|
| sample_01.txt | AC | 1 ms | 3512 KiB | 
| sample_02.txt | AC | 1 ms | 3640 KiB | 
| sample_03.txt | AC | 5 ms | 3544 KiB | 
| test_01.txt | AC | 1 ms | 3472 KiB | 
| test_02.txt | AC | 1 ms | 3496 KiB | 
| test_03.txt | AC | 1 ms | 3440 KiB | 
| test_04.txt | AC | 1 ms | 3500 KiB | 
| test_05.txt | AC | 1 ms | 3452 KiB | 
| test_06.txt | AC | 1 ms | 3448 KiB | 
| test_07.txt | AC | 1 ms | 3452 KiB | 
| test_08.txt | AC | 1 ms | 3508 KiB | 
| test_09.txt | AC | 1 ms | 3452 KiB | 
| test_10.txt | AC | 1 ms | 3468 KiB | 
| test_11.txt | AC | 1 ms | 3564 KiB | 
| test_12.txt | AC | 1 ms | 3444 KiB | 
| test_13.txt | AC | 1 ms | 3492 KiB | 
| test_14.txt | AC | 1 ms | 3456 KiB | 
| test_15.txt | AC | 1 ms | 3448 KiB | 
| test_16.txt | AC | 1 ms | 3496 KiB | 
| test_17.txt | AC | 1 ms | 3436 KiB | 
| test_18.txt | AC | 1 ms | 3432 KiB | 
| test_19.txt | AC | 1 ms | 3652 KiB | 
| test_20.txt | AC | 1 ms | 3432 KiB | 
| test_21.txt | AC | 1 ms | 3452 KiB | 
| test_22.txt | AC | 1 ms | 3648 KiB | 
| test_23.txt | AC | 1 ms | 3488 KiB | 
| test_24.txt | AC | 1 ms | 3436 KiB | 
| test_25.txt | AC | 1 ms | 3460 KiB | 
| test_26.txt | AC | 1 ms | 3456 KiB | 
| test_27.txt | AC | 1 ms | 3452 KiB | 
| test_28.txt | AC | 1 ms | 3444 KiB | 
| test_29.txt | AC | 1 ms | 3448 KiB | 
| test_30.txt | AC | 1 ms | 3356 KiB | 
| test_31.txt | AC | 1 ms | 3516 KiB | 
| test_32.txt | AC | 1 ms | 3464 KiB | 
| test_33.txt | AC | 1 ms | 3500 KiB | 
| test_34.txt | AC | 1 ms | 3464 KiB | 
| test_35.txt | AC | 1 ms | 3464 KiB | 
| test_36.txt | AC | 1 ms | 3504 KiB | 
| test_37.txt | AC | 2 ms | 3560 KiB | 
| test_38.txt | AC | 1 ms | 3376 KiB | 
| test_39.txt | AC | 1 ms | 3500 KiB | 
| test_40.txt | AC | 1 ms | 3568 KiB | 
| test_41.txt | AC | 1 ms | 3448 KiB | 
| test_42.txt | AC | 1 ms | 3448 KiB | 
| test_43.txt | AC | 1 ms | 3648 KiB | 
| test_44.txt | AC | 2 ms | 3644 KiB | 
| test_45.txt | AC | 2 ms | 3432 KiB | 
| test_46.txt | AC | 1 ms | 3440 KiB | 
| test_47.txt | AC | 1 ms | 3448 KiB | 
| test_48.txt | AC | 1 ms | 3460 KiB | 
| test_49.txt | AC | 1 ms | 3500 KiB | 
| test_50.txt | AC | 33 ms | 3492 KiB | 
| test_51.txt | AC | 19 ms | 3500 KiB | 
| test_52.txt | AC | 33 ms | 3564 KiB | 
| test_53.txt | AC | 4 ms | 3452 KiB | 
| test_54.txt | AC | 46 ms | 3568 KiB | 
| test_55.txt | AC | 4 ms | 3368 KiB | 
| test_56.txt | AC | 5 ms | 3424 KiB | 
| test_57.txt | AC | 29 ms | 3492 KiB | 
| test_58.txt | AC | 32 ms | 3456 KiB | 
| test_59.txt | AC | 2 ms | 3492 KiB | 
| test_60.txt | AC | 2 ms | 3492 KiB | 
| test_61.txt | AC | 2 ms | 3436 KiB | 
| test_62.txt | AC | 12 ms | 3452 KiB | 
| test_63.txt | AC | 1 ms | 3492 KiB | 
| test_64.txt | AC | 1 ms | 3560 KiB | 
| test_65.txt | AC | 33 ms | 3368 KiB | 
| test_66.txt | AC | 63 ms | 3456 KiB | 
| test_67.txt | AC | 57 ms | 3456 KiB | 
| test_68.txt | AC | 70 ms | 3444 KiB | 
| test_69.txt | AC | 81 ms | 3424 KiB | 
| test_70.txt | AC | 2 ms | 3500 KiB | 
| test_71.txt | AC | 60 ms | 3492 KiB | 
| test_72.txt | AC | 13 ms | 3440 KiB | 
| test_73.txt | AC | 48 ms | 3636 KiB | 
| test_74.txt | AC | 26 ms | 3500 KiB | 
| test_75.txt | AC | 14 ms | 3452 KiB | 
| test_76.txt | AC | 37 ms | 3564 KiB | 
| test_77.txt | AC | 4 ms | 3444 KiB | 
| test_78.txt | AC | 2 ms | 3452 KiB | 
| test_79.txt | AC | 6 ms | 3452 KiB | 
| test_80.txt | AC | 36 ms | 3564 KiB | 
| test_81.txt | AC | 59 ms | 3496 KiB | 
| test_82.txt | AC | 3 ms | 3448 KiB | 
| test_83.txt | AC | 67 ms | 3576 KiB | 
| test_84.txt | AC | 93 ms | 3496 KiB | 
| test_85.txt | AC | 40 ms | 3332 KiB | 
| test_86.txt | AC | 143 ms | 3496 KiB | 
| test_87.txt | AC | 116 ms | 3456 KiB | 
| test_88.txt | AC | 131 ms | 3448 KiB | 
| test_89.txt | AC | 40 ms | 3452 KiB | 
| test_90.txt | AC | 158 ms | 3456 KiB | 
| test_91.txt | AC | 116 ms | 3372 KiB | 
| test_92.txt | AC | 110 ms | 3500 KiB | 
| test_93.txt | AC | 131 ms | 3468 KiB | 
| test_94.txt | AC | 104 ms | 3496 KiB | 
| test_95.txt | AC | 157 ms | 3496 KiB | 
| test_96.txt | AC | 77 ms | 3464 KiB | 
| test_97.txt | AC | 46 ms | 3456 KiB | 
| test_98.txt | AC | 61 ms | 3448 KiB |