#include <bits/stdc++.h>
#define int long long
#define fi first
#define se second
#define pb push_back
using namespace std;
typedef pair<int, int> ii;
typedef pair<ii, int> pii; // Line + id
int n, k;
int a[100005], pre[100005];
int dp[205][100005];
int trace[205][100005];
struct Convex_hull_linear {
vector<pii> v;
int ptr = 0;
void init() {
v.clear();
ptr = 0;
}
// y = kx + m;
double isect(ii x, ii y) {
int k1 = x.fi, k2 = y.fi;
int m1 = x.se, m2 = y.se;
return (m2 - m1) * 1.0 / (k1 - k2) * 1.0;
}
bool bad(ii a, ii b, ii c) {
return isect(a, b) >= isect(b, c);
}
void add(ii x, int id) {
while(v.size() >= 2 and bad(v[v.size() - 2].fi, v[v.size() - 1].fi, x)) v.pop_back();
v.pb({x, id});
}
int eval(ii Line, int x) {
return Line.fi * x + Line.se;
}
ii query(int x) {
if(ptr > (int)v.size() - 1) {
ptr = (int)v.size() - 1;
} // empty ?
while(ptr < (int)v.size() - 1 and eval(v[ptr].fi, x) < eval(v[ptr + 1].fi, x)) {
ptr++;
}
return {eval(v[ptr].fi, x), v[ptr].se};
}
} Cvh;
signed main() {
cin >> n >> k;
for(int i = 1; i <= n; i++) {
cin >> a[i];
pre[i] = pre[i - 1] + a[i];
}
for(int j = 2; j <= k + 1; j++) {
Cvh.init();
Cvh.add({0, 0}, 0);
for(int i = 1; i <= n; i++) {
ii new_dp = Cvh.query(pre[i]);
Cvh.add({pre[i], dp[j - 1][i] - pre[i] * pre[i]}, i);
dp[j][i] = new_dp.fi;
trace[j][i] = new_dp.se;
}
}
cout << dp[k + 1][n] << '\n';
vector<int> res;
int trace_i = n;
for(int j = k + 1; j > 0; j--) {
res.pb(trace[j][trace_i]);
trace_i = trace[j][trace_i];
}
reverse(res.begin(), res.end());
for(auto x : res) {
if(!x) continue;
cout << x << ' ';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 108 == 108 |
2 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 999 == 999 |
3 |
Incorrect |
1 ms |
384 KB |
Unexpected end of file - int32 expected |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
0 ms |
384 KB |
contestant didn't find the optimal answer: 252308 < 1093956 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
384 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
512 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
5 ms |
1404 KB |
contestant didn't find the optimal answer: 1187850 < 1818678304 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
42 ms |
9064 KB |
contestant didn't find the optimal answer: 5054352 < 19795776960 |
2 |
Halted |
0 ms |
0 KB |
- |