#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.
/*
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
8 ms |
7280 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
8 ms |
7280 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
7252 KB |
Output is correct |
2 |
Incorrect |
9 ms |
7300 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
7252 KB |
Output is correct |
2 |
Incorrect |
9 ms |
7300 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
7252 KB |
Output is correct |
2 |
Incorrect |
9 ms |
7300 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
8 ms |
7280 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
7252 KB |
Output is correct |
2 |
Incorrect |
9 ms |
7300 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
8 ms |
7280 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
7252 KB |
Output is correct |
2 |
Incorrect |
9 ms |
7300 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
8 ms |
7280 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |