#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int mx = 55;
const int mx2 = mx*mx*1000;
const ll inf = 1e18;
const ll ninf = -1e18;
ll m, l;
ll cnt_neg[mx];
ll cnt_pos[mx];
ll cnt_zero;
ll dp[mx2*2];
ll cnt_pos_good[mx];
ll cnt_pos_bad[mx];
ll cnt_neg_good[mx];
ll cnt_neg_bad[mx];
ll solve(int target) {
dp[target + mx2] = 0;
for(int i = 1; i <= m; i++) {
/* positive good */
if(cnt_pos_good[i]) {
map<ll, int> vals;
vector<ll> history;
int t = 0;
for(int residue = 0; residue < i; residue++) {
for(int cur_pos = residue; cur_pos < mx2*2; cur_pos += i) {
ll tmp_val = dp[cur_pos] + 1;
if(vals.size())
dp[cur_pos] = max(dp[cur_pos], vals.rbegin()->first);
vals[tmp_val]++;
history.push_back(tmp_val);
if(t >= cnt_pos_good[i]) {
ll tmp = history[t - cnt_pos_good[i]];
vals[tmp]--;
if(vals[tmp] == 0) vals.erase(tmp);
}
t++;
}
}
}
/* positive bad */
if(cnt_pos_bad[i]) {
map<ll, int> vals;
vector<ll> history;
int t = 0;
for(int residue = 0; residue < i; residue++) {
for(int cur_pos = residue; cur_pos < mx2*2; cur_pos += i) {
ll tmp_val = dp[cur_pos] - 1;
if(vals.size())
dp[cur_pos] = max(dp[cur_pos], vals.rbegin()->first);
vals[tmp_val]++;
history.push_back(tmp_val);
if(t >= cnt_pos_bad[i]) {
ll tmp = history[t - cnt_pos_bad[i]];
vals[tmp]--;
if(vals[tmp] == 0) vals.erase(tmp);
}
t++;
}
}
}
/* negitive good */
if(cnt_neg_good[i]) {
map<ll, int> vals;
vector<ll> history;
int t = 0;
for(int residue = 0; residue < i; residue++) {
for(int cur_neg = mx2*2 - 1 - residue; cur_neg >= 0; cur_neg -= i) {
ll tmp_val = dp[cur_neg] + 1;
if(vals.size())
dp[cur_neg] = max(dp[cur_neg], vals.rbegin()->first);
vals[tmp_val]++;
history.push_back(tmp_val);
if(t >= cnt_neg_good[i]) {
ll tmp = history[t - cnt_neg_good[i]];
vals[tmp]--;
if(vals[tmp] == 0) vals.erase(tmp);
}
t++;
}
}
}
/* negitive bad */
if(cnt_neg_bad[i]) {
map<ll, int> vals;
vector<ll> history;
int t = 0;
for(int residue = 0; residue < i; residue++) {
for(int cur_neg = mx2*2 - 1 - residue; cur_neg >= 0; cur_neg -= i) {
ll tmp_val = dp[cur_neg] - 1;
if(vals.size())
dp[cur_neg] = max(dp[cur_neg], vals.rbegin()->first);
vals[tmp_val]++;
history.push_back(tmp_val);
if(t >= cnt_neg_bad[i]) {
ll tmp = history[t - cnt_neg_bad[i]];
vals[tmp]--;
if(vals[tmp] == 0) vals.erase(tmp);
}
t++;
}
}
}
}
return dp[mx2];
}
void eq() {
ll total_cnt = cnt_zero;
for(int i = 1; i <= m; i++) {
total_cnt += cnt_neg[i] + cnt_pos[i];
}
cout << total_cnt << endl;
exit(0);
}
void more_pos2() {
ll sum_neg = l;
for(int i = 1; i <= m; i++) {
sum_neg += cnt_neg[i] * i;
}
/* binary search: */
ll cnt_pos_used = 0;
for(ll delta = (1ll<<60); delta >= 1; delta >>= 1) {
ll test_value = cnt_pos_used + delta;
ll cur_sum = 0;
ll remaining = test_value;
for(int i = 1; i <= m; i++) {
if(cnt_pos[i] >= remaining) {
cur_sum += remaining * i;
remaining = 0;
break;
} else {
cur_sum += cnt_pos[i] * i;
remaining -= cnt_pos[i];
}
}
if(remaining > 0) continue;
if(cur_sum < sum_neg) cnt_pos_used = test_value;
}
cnt_pos_used++;
ll target = -sum_neg;
ll remaining = cnt_pos_used;
ll ans = cnt_pos_used + cnt_zero;
for(int i = 1; i <= m; i++) {
if(remaining <= cnt_pos[i]) {
cnt_pos_good[i] = cnt_pos[i] - remaining;
cnt_neg_bad[i] = remaining;
target += remaining * i;
remaining = 0;
} else {
cnt_neg_bad[i] = cnt_pos[i];
target += cnt_pos[i] * i;
remaining -= cnt_pos[i];
}
cnt_pos_bad[i] = cnt_neg[i];
ans += cnt_neg[i];
}
ans += solve(target);
if(ans < 0) cout << "impossible" << endl;
else cout << ans << endl;
}
void more_pos() {
dp[mx2] = cnt_zero;
for(int i = 1; i <= m; i++) {
for(int _ = 0; _ < cnt_pos[i]; _++) {
for(int j = mx2*2 - 1 - i; j >= 0; j--) {
dp[j + i] = max(dp[j + i], dp[j] + 1);
}
}
for(int _ = 0; _ < cnt_neg[i]; _++) {
for(int j = i; j < mx2*2; j++) {
dp[j - i] = max(dp[j - i], dp[j] + 1);
}
}
}
if(dp[mx2 + l] < 0) cout << "impossible" << endl;
else cout << dp[mx2 + l] << endl;
}
void more_neg() {
for(int i = 1; i <= m; i++) {
swap(cnt_pos[i], cnt_neg[i]);
}
l *= -1;
more_pos();
}
main() {
for(int i = 0; i < mx2*2; i++) dp[i] = ninf;
cin >> m >> l;
ll sum_pos = 0;
ll sum_neg = 0;
for(int i = m; i >= 1; i--) {
cin >> cnt_neg[i];
sum_neg += cnt_neg[i] * i;
}
cin >> cnt_zero;
for(int i = 1; i <= m; i++) {
cin >> cnt_pos[i];
sum_pos += cnt_pos[i] * i;
}
if(sum_pos < l) {
cout << "impossible" << endl;
return 0;
}
if(sum_pos + sum_neg == l) eq();
if(sum_pos - sum_neg > l) more_pos();
if(sum_pos - sum_neg < l) more_neg();
}
Compilation message
vault.cpp:185:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
185 | main() {
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
87 ms |
47640 KB |
Output is correct |
2 |
Correct |
61 ms |
47636 KB |
Output is correct |
3 |
Correct |
64 ms |
47572 KB |
Output is correct |
4 |
Correct |
394 ms |
47628 KB |
Output is correct |
5 |
Execution timed out |
5066 ms |
47572 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
87 ms |
47640 KB |
Output is correct |
2 |
Correct |
61 ms |
47636 KB |
Output is correct |
3 |
Correct |
64 ms |
47572 KB |
Output is correct |
4 |
Correct |
394 ms |
47628 KB |
Output is correct |
5 |
Execution timed out |
5066 ms |
47572 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
418 ms |
47580 KB |
Output is correct |
2 |
Execution timed out |
5063 ms |
47572 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
418 ms |
47580 KB |
Output is correct |
2 |
Execution timed out |
5063 ms |
47572 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
418 ms |
47580 KB |
Output is correct |
2 |
Execution timed out |
5063 ms |
47572 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
87 ms |
47640 KB |
Output is correct |
2 |
Correct |
61 ms |
47636 KB |
Output is correct |
3 |
Correct |
64 ms |
47572 KB |
Output is correct |
4 |
Correct |
394 ms |
47628 KB |
Output is correct |
5 |
Execution timed out |
5066 ms |
47572 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
418 ms |
47580 KB |
Output is correct |
2 |
Execution timed out |
5063 ms |
47572 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
87 ms |
47640 KB |
Output is correct |
2 |
Correct |
61 ms |
47636 KB |
Output is correct |
3 |
Correct |
64 ms |
47572 KB |
Output is correct |
4 |
Correct |
394 ms |
47628 KB |
Output is correct |
5 |
Execution timed out |
5066 ms |
47572 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
418 ms |
47580 KB |
Output is correct |
2 |
Execution timed out |
5063 ms |
47572 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
87 ms |
47640 KB |
Output is correct |
2 |
Correct |
61 ms |
47636 KB |
Output is correct |
3 |
Correct |
64 ms |
47572 KB |
Output is correct |
4 |
Correct |
394 ms |
47628 KB |
Output is correct |
5 |
Execution timed out |
5066 ms |
47572 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |