#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> all_min_knapsacks(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);
}
}
vector<int> soln;
for(int i=0; i<=m; i++) {
if(dp[n-1][i] == 1e18) soln.push_back(-1);
else soln.push_back(dp[n-1][i]);
}
return soln;
}
vector<int> all_max_knapsacks(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] = max(dp[i][j], dp[i-1][j-v[i]] + 1);
}
}
vector<int> soln;
for(int i=0; i<=m; i++) {
if(dp[n-1][i] == -1e18) soln.push_back(-1);
else soln.push_back(dp[n-1][i]);
}
return soln;
}
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(i == 0) {
if(j > 0) {
sol.push_back(v[i]);
}
break;
}
if(j >= v[i] && dp[i][j] == dp[i-1][j-v[i]] + 1) {
sol.push_back(v[i]);
j -= v[i];
}
}
return sol;
}
vector<int> max_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] = max(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(i == 0) {
if(j > 0) {
sol.push_back(v[i]);
}
break;
}
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;
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 contains[m+1];
for(int i=0; i<=m; i++) contains[i] = 0;
int sum = 0;
contains[0] = a[0];
if(l < 0) {
cout << "impossible\n"; return;
}
if(l == 0) {
cout << a[0] << "\n"; return;
}
for(int i=1; i<=m; i++) {
int owo = min(a[i], (l - sum) / i);
sum += owo * i;
contains[i] = owo;
if(sum == l) break;
if(owo < a[i] && sum + i > l) {
sum += i;
contains[i]++;
break;
}
}
if(sum < l) {
cout << "impossible\n"; return;
}
if(sum == l) {
int sm = 0;
for(int i=0; i<=m; i++) sm += contains[i];
cout << sm << "\n"; return;
}
vector<int> in, out;
for(int i=1; i<=m; i++) {
for(int j=0; j<min(m/i+10, contains[i]); j++) in.push_back(i);
for(int j=0; j<min(m/i+10, a[i] - contains[i]); j++) out.push_back(i);
}
if(in.empty() || out.empty()) {
cout << "impossible\n"; return;
}
int A = sum - l;
int insum = 0, outsum = 0;
for(int x: in ) insum += x;
for(int x: out ) outsum += x;
vector<int> resin = all_min_knapsacks(in, insum);
vector<int> resout = all_max_knapsacks(out, outsum);
int sm = 0;
for(int i=0; i<=m; i++) sm += contains[i];
int ans = -1;
int id;
for(int x=0; x<resout.size(); x++) {
if(resout[x] != -1 && A + x < resin.size() && resin[A + x] != -1) {
if(sm - resin[A + x] + resout[x] > ans) {
ans = sm - resin[A + x] + resout[x];
id = x;
}
}
}
//vector<int> mi = min_knapsack(in, A + x);
//vector<int> ma = max_knapsack(out, x);
cout << (ans == -1 ? "impossible" : to_string(ans)) << "\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.
/*
*/
Compilation message
vault.cpp: In function 'void solve(long long int)':
vault.cpp:222:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
222 | for(int x=0; x<resout.size(); x++) {
| ~^~~~~~~~~~~~~~
vault.cpp:223:33: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
223 | if(resout[x] != -1 && A + x < resin.size() && resin[A + x] != -1) {
| ~~~~~~^~~~~~~~~~~~~~
vault.cpp:221:7: warning: variable 'id' set but not used [-Wunused-but-set-variable]
221 | int id;
| ^~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
9 ms |
7252 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
9 ms |
7252 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 |
Correct |
13 ms |
17112 KB |
Output is correct |
3 |
Correct |
9 ms |
7332 KB |
Output is correct |
4 |
Correct |
14 ms |
13136 KB |
Output is correct |
5 |
Correct |
17 ms |
20180 KB |
Output is correct |
6 |
Correct |
17 ms |
18596 KB |
Output is correct |
7 |
Incorrect |
9 ms |
7380 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
7252 KB |
Output is correct |
2 |
Correct |
13 ms |
17112 KB |
Output is correct |
3 |
Correct |
9 ms |
7332 KB |
Output is correct |
4 |
Correct |
14 ms |
13136 KB |
Output is correct |
5 |
Correct |
17 ms |
20180 KB |
Output is correct |
6 |
Correct |
17 ms |
18596 KB |
Output is correct |
7 |
Incorrect |
9 ms |
7380 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
7252 KB |
Output is correct |
2 |
Correct |
13 ms |
17112 KB |
Output is correct |
3 |
Correct |
9 ms |
7332 KB |
Output is correct |
4 |
Correct |
14 ms |
13136 KB |
Output is correct |
5 |
Correct |
17 ms |
20180 KB |
Output is correct |
6 |
Correct |
17 ms |
18596 KB |
Output is correct |
7 |
Incorrect |
9 ms |
7380 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
9 ms |
7252 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 |
Correct |
13 ms |
17112 KB |
Output is correct |
3 |
Correct |
9 ms |
7332 KB |
Output is correct |
4 |
Correct |
14 ms |
13136 KB |
Output is correct |
5 |
Correct |
17 ms |
20180 KB |
Output is correct |
6 |
Correct |
17 ms |
18596 KB |
Output is correct |
7 |
Incorrect |
9 ms |
7380 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
9 ms |
7252 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 |
Correct |
13 ms |
17112 KB |
Output is correct |
3 |
Correct |
9 ms |
7332 KB |
Output is correct |
4 |
Correct |
14 ms |
13136 KB |
Output is correct |
5 |
Correct |
17 ms |
20180 KB |
Output is correct |
6 |
Correct |
17 ms |
18596 KB |
Output is correct |
7 |
Incorrect |
9 ms |
7380 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
9 ms |
7252 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |