제출 #617340

#제출 시각아이디문제언어결과실행 시간메모리
617340slimeUplifting Excursion (BOI22_vault)C++14
0 / 100
9 ms7300 KiB
#include "bits/stdc++.h" using namespace std; #define int long long const int MAXN = 3e5 + 10; const int MOD = 1e9 + 7; #define ll __int128 mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count()); int rnd(int x, int y) { int u = uniform_int_distribution<int>(x, y)(rng); return u; } ll read() { int x; cin >> x; return (ll)x; } long long bm(long long b, long long p) { if(p==0) return 1 % MOD; long long r = bm(b, p >> 1); if(p&1) return (((r*r) % MOD) * b) % MOD; return (r*r) % MOD; } long long inv(long long b) { return bm(b, MOD-2); } long long f[MAXN]; long long nCr(int n, int r) { long long ans = f[n]; ans *= inv(f[r]); ans %= MOD; ans *= inv(f[n-r]); ans %= MOD; return ans; } long long fib[MAXN], lucas[MAXN]; void precomp() { for(int i=0; i<MAXN; i++) f[i] = (i == 0 ? 1 % MOD : (f[i-1] * i) % MOD); lucas[0] = 2; lucas[1] = 1; for(int i=2; i<MAXN; i++) lucas[i] = (lucas[i-2] + lucas[i-1]) % MOD; fib[0] = 0; fib[1] = 1; for(int i=2; i<MAXN; i++) fib[i] = (fib[i-2] + fib[i-1]) % MOD; } int fastlog(int x) { return (x == 0 ? -1 : 64 - __builtin_clzll(x) - 1); } void gay(int i) { cout << "Case #" << i << ": "; } int csb(int l, int r, int k) { // count number of [l, r] such that i & 2^k > 0 if(l > r) return 0; if(l == 0) { int s = r / (1ll << (k+1)); // number of complete cycles int t = r % (1ll << (k+1)); int ans = s * (1ll << k); ans += (t >= (1ll << k) ? t - (1ll << k) + 1 : 0); return ans; } else return csb(0, r, k) - csb(0, l - 1, k); } int lis(vector<int> a) { int n = a.size(); int bucket[n+1]; for(int i=1; i<=n; i++) bucket[i] = 1e18; int ans = 1; for(int x: a) { auto it = lower_bound(bucket + 1, bucket +n +1, x); int d = distance(bucket, it); ans = max(ans, d); bucket[d] = min(bucket[d], x); } return ans; } vector<int> min_knapsack(vector<int> v, int m) { int n = v.size(); int dp[n][m+1]; for(int i=0; i<=m; i++) dp[0][i] = 1e18; dp[0][0] = 0; dp[0][v[0]] = 1; for(int i=1; i<n; i++) { dp[i][0] = 0; for(int j=1; j<=m; j++) { dp[i][j] = dp[i-1][j]; if(j >= v[i]) dp[i][j] = min(dp[i][j], dp[i-1][j-v[i]] + 1); } } if(dp[n-1][m] == 1e18) return {}; vector<int> sol; int j = m; for(int i=n-1; i>=0; i--) { if(j >= v[i] && dp[i][j] == dp[i-1][j-v[i]] + 1) { sol.push_back(v[i]); j -= v[i]; } } return sol; } void solve(int tc) { int m, l; cin >> m >> l; if(l < 0) { cout << "impossible\n"; return; } int a[m+1]; for(int i=0; i<m; i++) { int x; cin >> x; } for(int i=0; i<=m; i++) { cin >> a[i]; } int s = 0; int t = a[0]; int inc[m+1]; for(int i=0; i<=m; i++) inc[i] = 0; inc[0] = a[0]; for(int i=1; i<=m; i++) { if((l - s) % i == 0 || s + a[i] * i < l) { int n = (l - s) / i; n = min(n, a[i]); s += n * i; t += n; inc[i] = n; if(s == l) { cout << t <<"\n"; return; } continue; } int hypo = (l - s + i - 1) / i; int res = hypo * i + s; assert(res > l); int tar = res - l; vector<int> elements; for(int j=1; j<i; j++) { for(int k=1; k*j<=tar && k <= inc[j]; k++) { elements.push_back(j); } } continue; vector<int> vt = min_knapsack(elements, tar); if(vt.empty()) { hypo = max(0ll, hypo - 1); s += hypo * i; t += hypo; inc[i] = hypo; continue; } // update s, t, inc for(int x: vt) { inc[x]--; s -= x; t--; } s += hypo * i; t += hypo; inc[i] = hypo; assert(s == l); cout << t << "\n"; return; } cout <<"impossible\n"; } int32_t main() { precomp(); ios::sync_with_stdio(0); cin.tie(0); int t = 1; //cin >> t; for(int i=1; i<=t; i++) solve(i); } // I don't know geometry. // Teaming is unfair. /* */
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