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  1. #include <bits/stdc++.h>
  2. #define FOR(i,a,b) for(int i=(a), _b=(b); i<=_b; ++i)
  3. #define fi first
  4. #define se second
  5. #define el "\n"
  6. #define pb push_back
  7. #define sz(a) (int)(a.size())
  8. #define FILL(a,x) memset(a,x,sizeof(a))
  9.  
  10. using namespace std;
  11. typedef long long ll;
  12.  
  13. const ll MOD = 1000000007LL;
  14. const ll INV6 = 166666668LL;
  15.  
  16. ll C3(ll n) {
  17.     if (n < 3) return 0;
  18.     ll a = n % MOD;
  19.     ll b = (n - 1) % MOD;
  20.     ll c = (n - 2) % MOD;
  21.     ll res = a;
  22.     res = (res * b) % MOD;
  23.     res = (res * c) % MOD;
  24.     res = (res * INV6) % MOD;
  25.     return res;
  26. }
  27.  
  28. int main() {
  29.     ios_base::sync_with_stdio(false);
  30.     cin.tie(NULL); cout.tie(NULL);
  31.  
  32.     int Q;
  33.     cin >> Q;
  34.     while (Q--) {
  35.         ll L[4], H[4], N;
  36.         FOR(i,0,3) cin >> L[i] >> H[i];
  37.         cin >> N;
  38.  
  39.         ll U[4];
  40.         ll sumL = 0;
  41.         bool bad = false;
  42.         FOR(i,0,3) {
  43.             sumL += L[i];
  44.             U[i] = H[i] - L[i];
  45.             if (U[i] < 0) bad = true;
  46.         }
  47.         if (bad) {
  48.             cout << 0 << el;
  49.             continue;
  50.         }
  51.  
  52.         ll S0 = N - sumL;
  53.         if (S0 < 0) {
  54.             cout << 0 << el;
  55.             continue;
  56.         }
  57.  
  58.         ll ans = 0;
  59.         for (int mask = 0; mask < 16; ++mask) {
  60.             int cnt = 0;
  61.             ll sub = 0;
  62.             for (int i = 0; i < 4; ++i) {
  63.                 if (mask & (1 << i)) {
  64.                     ++cnt;
  65.                     sub += U[i] + 1;
  66.                 }
  67.             }
  68.             ll S = S0 - sub;
  69.             if (S < 0) continue;
  70.             ll val = C3(S + 3);
  71.             if (cnt % 2 == 0) {
  72.                 ans += val;
  73.                 if (ans >= MOD) ans -= MOD;
  74.             } else {
  75.                 ans -= val;
  76.                 if (ans < 0) ans += MOD;
  77.             }
  78.         }
  79.  
  80.         cout << ans % MOD << el;
  81.     }
  82.  
  83.     return 0;
  84. }
  85.  
  86.  
Success #stdin #stdout 0.01s 5312KB
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https://ideone.com/ntYrQT
language:
C++14 (clang 8.0)
created:
6 days ago
visibility:
public

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