#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
typedef pair<ld, int> pdi;
typedef pair<int, int> pii;
const int MAXN = 2e6;
const int MAX_ALLOC = (1 << 22);
pdi dp[MAXN];
const int inf = 1e9;
int m, d, t;
int vals[MAXN];
pdi mn[MAX_ALLOC];
int lz[MAX_ALLOC];
int lval[MAX_ALLOC];
int rval[MAX_ALLOC];
int n;
void make() {
n = pow(2, ceil(log2(m)));
for (int i = 1; i < 2*n; i++) mn[i] = pdi(inf, 0);
for (int i = n; i < 2*n; i++) {
lval[i] = i-n;
rval[i] = i-n+1;
}
for (int i = n-1; i > 0; i--) {
lval[i] = lval[2*i];
rval[i] = rval[2*i+1];
}
}
void clean() {
for (int i = 1; i < 2*n; i++) mn[i] = pdi(inf, 0);
fill(lz, lz+2*n, 0);
}
void increment(int l, int r, int v, int cur = 1) {
if (lval[cur] >= r || rval[cur] <= l) return;
if (lval[cur] >= l && rval[cur] <= r) {
lz[cur] += v;
mn[cur].first += v;
return;
}
increment(l, r, v, 2*cur);
increment(l, r, v, 2*cur+1);
mn[cur] = min(mn[2*cur], mn[2*cur+1]);
mn[cur].first += lz[cur];
}
pdi mnval(int l, int r, int cur = 1, int laz = 0) {
if (lval[cur] >= r || rval[cur] <= l) return pdi(inf, 0);
if (lval[cur] >= l && rval[cur] <= r) return pdi(mn[cur].first+laz, mn[cur].second);
laz += lz[cur];
return min(mnval(l, r, 2*cur, laz), mnval(l, r, 2*cur+1, laz));
}
void update(int i, pdi v, int cur = 1, int laz = 0) {
if (lval[cur] > i || rval[cur] <= i) return;
if (cur >= n) {
mn[cur] = pdi(v.first-laz, v.second);
return;
}
laz += lz[cur];
update(i, v, 2*cur, laz);
update(i, v, 2*cur+1, laz);
mn[cur] = min(mn[2*cur], mn[2*cur+1]);
mn[cur].first += lz[cur];
}
int iters = 25;
//const ld prec = 3e-2;
int get_int(int i) {
if (vals[i] > t) return i;
return i+(t-vals[i])+1;
}
bool make_iter(ld &mn, ld &mx, bool force = 0) {
vector<int> uncolored;
//STree s(n);
ld cost = (mn+mx)/2;
for (int i = n-1; i >= 0; i--) {
if (i == n-1) dp[i] = pdi(0, 0);
else {
pdi mval = mnval(i+1, m);
mval.first += cost;
mval.second++;
dp[i] = mval;
}
// if (dp[i].second > d) {
// mn = cost;
// return 0;
// }
if (d == 1 && dp[i].second > d) update(i, pdi(inf, 0));
else update(i, dp[i]);
uncolored.push_back(i);
int r = get_int(i);
int pos = uncolored.size()-1;
while (pos >= 0 && uncolored[pos] < r) pos--;
pos++;
int prev = n;
int mult = uncolored.size()-pos;
for (int i = pos; i < uncolored.size(); i++) {
increment(uncolored[i], prev, mult);
prev = uncolored[i];
mult--;
}
int num = uncolored.size()-pos;
for (int i = 0; i < num; i++) uncolored.pop_back();
}
pdi overall = mnval(0, m-1);
if (overall.second == d || force) { // we are done
cout << round(overall.first-cost*d) << "\n";
return 1;
}
if (overall.second < d) mx = cost;
else mn = cost;
return 0;
}
void spec() {
vector<int> uncolored;
//STree s(n);
//ld cost = (mn+mx)/2;
for (int i = m-1; i >= 0; i--) {
if (i == m-1) dp[i] = pdi(0, 0);
else {
pdi mval = mnval(m-1, m);
//mnval.first += cost;
mval.second++;
dp[i] = mval;
}
// if (dp[i].second > d) {
// mn = cost;
// return 0;
// }
if (d == 1 && dp[i].second > d) update(i, pdi(inf, 0));
else update(i, dp[i]);
uncolored.push_back(i);
int r = get_int(i);
int pos = uncolored.size()-1;
while (pos >= 0 && uncolored[pos] < r) pos--;
pos++;
int prev = n;
int mult = uncolored.size()-pos;
for (int i = pos; i < uncolored.size(); i++) {
increment(uncolored[i], prev, mult);
prev = uncolored[i];
mult--;
}
int num = uncolored.size()-pos;
for (int i = 0; i < num; i++) uncolored.pop_back();
}
pdi overall = mnval(0, m-1);
cout << round(overall.first) << "\n";
return;
// if (overall.second == d || force) { // we are done
// cout << round(overall.first-cost*d) << "\n";
// //return 1;
// }
// if (overall.second < d) mx = cost;
// else mn = cost;
// return 0;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(NULL);
cin >> m >> d >> t;
if (m > 75000) iters = 15;
for (int i = 0; i < m; i++) cin >> vals[i];
ld mn = 0;
ld mx = ((ld)m)/d+1;
make();
if (d == 1) {
spec();
return 0;
}
for (int t = 0; t < iters; t++) {
//while (mx-mn > prec) {
bool fin = make_iter(mn, mx);
if (fin) return 0;
clean();
}
//assert(false);
make_iter(mn, mx, 1);
}
Compilation message
prison.cpp: In function 'bool make_iter(ld&, ld&, bool)':
prison.cpp:105:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
105 | for (int i = pos; i < uncolored.size(); i++) {
| ~~^~~~~~~~~~~~~~~~~~
prison.cpp: In function 'void spec()':
prison.cpp:148:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
148 | for (int i = pos; i < uncolored.size(); i++) {
| ~~^~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Incorrect |
8 ms |
340 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
565 ms |
62848 KB |
Output is correct |
| 3 |
Correct |
568 ms |
62832 KB |
Output is correct |
| 4 |
Correct |
542 ms |
63280 KB |
Output is correct |
| 5 |
Correct |
581 ms |
63052 KB |
Output is correct |
| 6 |
Correct |
601 ms |
62880 KB |
Output is correct |
| 7 |
Correct |
500 ms |
63412 KB |
Output is correct |
| 8 |
Correct |
510 ms |
63432 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Incorrect |
8 ms |
340 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Execution timed out |
2066 ms |
16048 KB |
Time limit exceeded |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Incorrect |
8 ms |
340 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Incorrect |
8 ms |
340 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
