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#include <bits/stdc++.h>
using namespace std;
typedef double db;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
#define lx (id << 1)
#define rx (lx 1)
#define gcd __gcd
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define bit(i, mask) ((mask) >> (i) & 1)
#define reset(x, val) memset(x, val, sizeof(x))
#define foru(i,a,b) for(int i = (a); i <= (b); ++i)
#define ford(i,a,b) for(int i = (a); i >= (b); --i)
#define FastIO ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
template<typename T> bool maximize(T &res, const T &val) { if (res < val) { res = val; return true; } return false; }
template<typename T> bool minimize(T &res, const T &val) { if (val < res) { res = val; return true; } return false; }
const ll Linf = 0x3f3f3f3f3f3f3f3f;
const int Inf = 0x3f3f3f3f;
const ll Mod = 1e9 + 7;
const ll Mod2 = ll(1e9) + 9;
const int Lim = 1e6 + 5;
const int inv6 = 166666668;
/// ====*====*====*====*====*====*====*====*====*====*====*====*====*====*====*====*====
const int base = 3;
const int N = 1e5 + 5;
const int K = 200 + 1;
const int dx[] = {+1, -1, 0, 0};
const int dy[] = {0, 0, +1, -1};
const int block_size = sqrt(2e9) + 2;
struct Line {
mutable ll a, b, p;
bool operator< (const Line &x) const { return a < x.a; }
bool operator< (ll x) const { return p < x; }
ll query(ll x) {
return a * x + b;
}
};
struct LineContainer : multiset<Line, less<>> {
ll div(ll a, ll b) {
return a / b - ((a ^ b) < 0 && a % b);
}
bool isect(iterator x, iterator y) {
if (y == end()) return x -> p = Linf, false;
if (x -> a == y -> a)
x -> p = (x -> b > y -> b ? Linf : -Linf);
else
x -> p = div(y -> b - x -> b, x -> a - y -> a);
return x -> p >= y -> p;
}
void add(ll k, ll m) {
iterator z = insert({k, m, 0}), y = z++, x = y;
while (isect(y, z)) z = erase(z);
if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
while ((y = x) != begin() && (--x) -> p >= y -> p)
isect(x, erase(y));
}
ll query(ll x) {
Line l = *lower_bound(x);
return l.query(x);
}
};
int n, k;
int a[N], pref[N];
ll dp[N][K];
LineContainer cht;
ll f(int l, int r) {
return pref[r] - pref[l - 1];
}
void solve() {
cin >> n >> k;
foru(i, 1, n) cin >> a[i];
foru(i, 1, n) pref[i] = pref[i - 1] + a[i];
foru(i, 0, n) foru(z, 0, k) dp[i][z] = -Linf;
dp[0][0] = 0;
foru(z, 1, k) {
cht.clear();
foru(i, 1, n - 1) {
int j = i - 1;
cht.add(-pref[j], dp[j][z - 1]);
dp[i][z] = cht.query(f(i + 1, n)) + f(i + 1, n) * pref[i];
/*foru(z, 1, k)
cout << (dp[i][z] <= -Inf ? -1 : dp[i][z]) << " ";
cout << "\n";*/
}
}
ll ans = -Linf;
foru(i, 1, n - 1) maximize(ans, dp[i][k]);
cout << ans << "\n";
for (int cur = n - 1, z = k; cur > 0 && z > 0; --cur) {
// cout << "? " << cur << " " << z << "\n";
if (dp[cur][z] == ans) {
// cout << "! " << cur << " " << z << "\n";
for (int j = 0; j < cur; ++j)
if (dp[j][z - 1] + f(j + 1, cur) * f(cur + 1, n) == ans) {
// cout << cur << " " << j << "\n";
cout << cur << " ";
cur = j + 1;
--z;
ans = dp[j][z];
break;
}
}
}
}
signed main() {
FastIO;
#define task ""
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
#define task "test"
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
} else if (0) {
ofstream fout(task".inp");
fout.close();
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
#ifdef Sieve
Linear_sieve();
#endif
int ntest = 1;
// cin >> ntest;
while (ntest--) {
//cout << "Case " << q << ": " << "\n";
solve();
cout << "\n";
}
return 0;
}
/** /\_/\
* (= ._.)
* / >TL \>AC
**/
컴파일 시 표준 에러 (stderr) 메시지
sequence.cpp:145: warning: "task" redefined
145 | #define task "test"
|
sequence.cpp:139: note: this is the location of the previous definition
139 | #define task ""
|
sequence.cpp: In function 'int main()':
sequence.cpp:141:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
141 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:142:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
142 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:147:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
147 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:148:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
148 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:153:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
153 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:154:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
154 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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