//Bismillahir-Rahmanir-Rahim
#include <bits/stdc++.h>
#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#define pb push_back
#define pii pair <int, int>
#define pll pair <long long, long long>
#define pld pair <long double, long double>
#define ll long long
#define ld long double
#define x first
#define y second
#define all(v) v.begin(),v.end()
#define sz(s) (int)s.size()
#define skip continue
#define bpop(x) (ll)__builtin_popcountll(x)
using namespace std;
const int N = 1e5 + 7;
const int M = 1e2 + 7;
const int MAXA = 5e4 + 7;
const int inf = 1e9 + 7;
const ll INF = 1e18 + 7;
const ll MOD = 1e9 + 7;
pii dir[] = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}};
#define int long long
//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int n, k, a[N], pre[N], pr[N][207], dp[N][207];
struct chtDynamic {
struct line {
int m, b, val, pos;
double x;
bool query;
line(int _m = 0, int _b = 0, int i = 0): m(_m), b(_b), val(0), pos(i), x(0), query(false) {}
int eval(int x) {
return m * x + b;
}
bool parallel(const line &other) const {
return m == other.m;
}
ld intersect(const line &other) const {
return (parallel(other) ? inf : 1.0 * (other.b - b) / (m - other.m));
}
bool operator < (const line &other) const {
if(other.query) return x < other.val;
else return m < other.m;
}
};
set<line> hull;
bool cPrev(auto it) { return it != hull.begin(); }
bool cNext(auto it) { return it != hull.end() && next(it) != hull.end(); }
bool bad(const line &l1, const line &l2, const line &l3) {
return l1.intersect(l3) <= l1.intersect(l2);
}
bool bad(auto it) {
return cPrev(it) && cNext(it) && bad(*prev(it), *it, *next(it));
}
auto update(auto it) {
if(!cPrev(it)) return it;
ld x = it -> intersect(*prev(it));
line tmp(*it); tmp.x = x;
it = hull.erase(it);
return hull.insert(it, tmp);
}
void addLine(int m, int b, int pos) {
line l(m, b, pos);
auto it = hull.lower_bound(l);
if(it != hull.end() && l.parallel(*it)) {
if(it -> b < b) it = hull.erase(it);
else return;
}
it = hull.insert(it, l);
if(bad(it)) return (void) hull.erase(it);
while(cPrev(it) && bad(prev(it))) hull.erase(prev(it));
while(cNext(it) && bad(next(it))) hull.erase(next(it));
it = update(it);
if(cPrev(it)) update(prev(it));
if(cNext(it)) update(next(it));
}
pii get(int x) const {
if(hull.empty())return {0, 1};
line q;
q.val = x, q.query = 1;
auto it = --hull.lower_bound(q);
line opt = *it;
return {opt.eval(x), opt.pos};
}
}convex[207];
void solve() {
cin >> n >> k;
for (int i = 1;i <= n;i++)cin >> a[i], pre[i] = pre[i - 1] + a[i];
convex[1].addLine(pre[1], -pre[1] * pre[1], 1);
for (int i = 2;i <= n;i++) {
for (int j = min(i, k + 1);j >= 2;j--) {
pii p = convex[j - 1].get(pre[i]);
if (p.x >= dp[i][j])dp[i][j] = p.x, pr[i][j] = p.y;
convex[j].addLine(pre[i], dp[i][j] - pre[i] * pre[i], i);
}
convex[1].addLine(pre[i], -pre[i] * pre[i], i);
}
int ans = dp[n][k + 1];
cout << ans << '\n';
int pos = n, cur = k + 1;
vector <int> path;
while (cur > 0) {
pos = pr[pos][cur], cur--;
if (pos)path.pb(pos);
}
reverse(all(path));
for (auto to : path)cout << to << ' ';
}
signed main() {
//srand(time(NULL));
ios_base::sync_with_stdio(0);
cin.tie(0);
//freopen("milkorder.in", "r", stdin);
//freopen("milkorder.out", "w", stdout);
int test = 1;
//cin >> test;
for (int i = 1;i <= test;i++) {
//cout << "Case " << i << ": ";
solve();
}
return 0;
}
Compilation message
sequence.cpp:4: warning: ignoring '#pragma comment ' [-Wunknown-pragmas]
4 | #pragma comment(linker, "/stack:200000000")
|
sequence.cpp:58:16: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
58 | bool cPrev(auto it) { return it != hull.begin(); }
| ^~~~
sequence.cpp:59:16: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
59 | bool cNext(auto it) { return it != hull.end() && next(it) != hull.end(); }
| ^~~~
sequence.cpp:63:14: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
63 | bool bad(auto it) {
| ^~~~
sequence.cpp:66:17: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
66 | auto update(auto it) {
| ^~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 1542524 == 1542524 |
| 5 |
Correct |
1 ms |
2392 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
| 6 |
Correct |
0 ms |
2396 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
1 ms |
2540 KB |
contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
0 ms |
2396 KB |
contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
0 ms |
2520 KB |
contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
0 ms |
2396 KB |
contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
1 ms |
2536 KB |
contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2392 KB |
contestant found the optimal answer: 1093956 == 1093956 |
| 2 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
1 ms |
2392 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
1 ms |
2648 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4956 KB |
contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
1 ms |
4956 KB |
contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
7 ms |
6748 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
1 ms |
4956 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
5 ms |
6232 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Correct |
6 ms |
6236 KB |
contestant found the optimal answer: 107630884 == 107630884 |
| 7 |
Correct |
7 ms |
6460 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
| 8 |
Correct |
4 ms |
5468 KB |
contestant found the optimal answer: 193556962 == 193556962 |
| 9 |
Correct |
2 ms |
5208 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
| 10 |
Correct |
4 ms |
5720 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
6492 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
3 ms |
6492 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
90 ms |
22940 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
3 ms |
6492 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
67 ms |
18836 KB |
contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Correct |
60 ms |
15956 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
| 7 |
Correct |
82 ms |
22096 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
| 8 |
Correct |
90 ms |
22956 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
| 9 |
Correct |
16 ms |
9564 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
| 10 |
Correct |
29 ms |
12520 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
23 ms |
38236 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
23 ms |
37456 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Runtime error |
811 ms |
131072 KB |
Execution killed with signal 9 |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
96 ms |
131072 KB |
Execution killed with signal 9 |
| 2 |
Halted |
0 ms |
0 KB |
- |
