#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define FOR(i, a, b) for (int i = (a), _b = (b); i <= _b; i++)
#define FORD(i, b, a) for (int i = (b), _a = (a); i >= _a; i--)
#define pa pair<ll, ll>
#define fi first
#define se second
#define bit(mask, j) ((mask >> j) & 1)
#define t_test int t;cin >> t;while(t--)
const ll mod = 1e9 + 7;
const ll INF = 1e14;
inline void adm(ll &x){if(x>=mod)x%=mod;else if(x<0)x+=mod;}
//--------------------------------------------------------------------
const ll N = 1e5 + 1;
ll s[N];
ll dp[N], dp2[N];
int trace[N][203];
vector<pa> vt;
vector<ll> vtid;
bool bad(pa &x, pa &y, pa &z) {
return (y.se - x.se) * (x.fi - z.fi) >= (z.se - x.se) * (x.fi - y.fi);
}
void add(ll a, ll b, ll id) {
pa p = {a, b};
while(vt.size() >= 2 && bad(vt[vt.size() - 2], vt[vt.size() - 1], p)) {
vt.pop_back();
vtid.pop_back();
}
vt.push_back(p);
vtid.push_back(id);
}
ll f(pa line, ll x) {
return x * line.fi + line.se;
}
ll pos = 0;
pa query(ll x) {
if(vt.size() == 0) {
return {-INF, 0};
}
if(pos >= vt.size()) {
pos = vt.size() - 1;
}
while (pos < (ll) (vt.size() - 1) && f(vt[pos + 1], x) > f(vt[pos], x))
pos++;
return {f(vt[pos], x), vtid[pos]};
// ll l = 0, r = (ll)vt.size() - 1;
// if (r < l) return { -INF, 0 };
// ll res = -INF, id = 0;
// ll pre = -1;
// FOR(i, l, r) {
// auto val = f(vt[i], x);
// // if(i + 1 <= r && f(vt[i], x) <= f(vt[i + 1], x)) {
// // if(pre != -1 && pre != i - 1) {
// // ll c = 0;
// // for(auto e : vt) {
// // c++;
// // cout << f(e, x) << ' ' << c<< '\n';
// // }
// // exit(0);
// // }pre = i;
// // // if(val == 2016037) {
// // // for(auto e : vt) {
// // // cout << f(e, x) << '\n';
// // // }
// // // exit(0);
// // // }
// // }
// if (res < val) {
// res = val;
// id = vtid[i];
// }
// }
// return {res, id};
}
void hbmt() {
ll n, k;
cin >> n >> k;
FOR(i, 1, n) {
ll x;
cin >> x;
s[i] = s[i - 1] + x;
}
FOR(i, 1, n) {
dp[i] = -INF;
}
FOR(i, 0, n) {
dp2[i] = -INF;
}
dp[0] = 0;
k++;
FOR(j, 1, k) {
pos = 0;
if(dp[0] > -INF)
add(s[0], dp[0], 0);
FOR(i, 1, n) {
pa cur = query(s[i]);
dp2[i] = cur.fi;
trace[i][j] = cur.se;
if(dp[i] > -INF)
add(s[i], dp[i] - s[i] * s[i], i);
}
FOR(i, 0, n) {
dp[i] = dp2[i];
dp2[i] = -INF;
}
vt.clear();
vtid.clear();
}
int e = trace[n][k--];
vector<ll> vt;
while(e != 0) {
vt.push_back(e);
e = trace[e][k--];
}
reverse(vt.begin(), vt.end());
cout << dp[n] << '\n';
for(auto e : vt) {
cout << e << ' ';
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
if(fopen("hbmt.inp", "r")) {
freopen("hbmt.inp", "r", stdin);
freopen("hbmt.out", "w", stdout);
}
// t_test
hbmt();
return 0;
}
컴파일 시 표준 에러 (stderr) 메시지
sequence.cpp: In function 'int main()':
sequence.cpp:131:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
131 | freopen("hbmt.inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:132:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
132 | freopen("hbmt.out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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