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#include <iostream>
#include <cstdio>
using namespace std;
const int NMAX = 1e5 + 5, KMAX = 2e2 + 5;
const long long INF = 1LL * 1e18;
int N, K;
int sp[NMAX];
long long p[NMAX];
long long ans, dp[NMAX][2];
int Keep[NMAX][KMAX];
int V[KMAX];
namespace InParser
{
static const int BSIZE = (1 << 16);
static int pos = BSIZE - 1;
static char buff[BSIZE];
static inline char Char ()
{
++pos;
if(pos == BSIZE)
{
pos = 0;
int n = fread(buff, 1, BSIZE, stdin);
if(n != BSIZE)
for(int i = n; i < BSIZE; ++i)
buff[i] = 0;
}
return buff[pos];
}
inline int Int ()
{
int ans = 0;
for( ; ; )
{
char Ch = Char();
if(Ch >= '0' && Ch <= '9')
{
ans = (int)(Ch - '0');
break;
}
}
for( ; ; )
{
char Ch = Char();
if(Ch >= '0' && Ch <= '9')
ans = ans * 10 + (int)(Ch - '0');
else
break;
}
return ans;
}
};
static inline void Read ()
{
ios_base :: sync_with_stdio(false);
cin.tie(nullptr);
freopen("sequence.in", "r", stdin);
freopen("sequence.out", "w", stdout);
N = InParser :: Int(), K = InParser :: Int();
for(int i = 1; i <= N; ++i)
{
int A = InParser :: Int();
sp[i] = sp[i - 1] + A;
p[i] = p[i - 1] + 1LL * A * A;
}
return;
}
static inline int Query_1 (int Left, int Right)
{
if(Left > Right)
return 0;
return sp[Right] - sp[(Left - 1)];
}
static inline void Load ()
{
for(int i = 1; i <= N; ++i)
ans += 1LL * (1LL * Query_1(i, i) * Query_1(i + 1, N));
return;
}
static inline long long Query_2 (int Left, int Right)
{
if(Left > Right)
return 0;
return p[Right] - p[(Left - 1)];
}
static inline long long Cost (int Left, int Right)
{
if(Left > Right)
return 0;
long long a = Query_1(Left, Right);
long long b = Query_2(Left, Right);
return ((1LL * (1LL * a * a - 1LL * b)) >> 1LL);
}
static inline void Go (int Left, int Right, int Chosen_Left, int Chosen_Right, int Level)
{
if(Left > Right)
return;
int Mid = (Left + Right) >> 1;
int Chosen = 0;
for(int k = Chosen_Left; k <= min(Mid, Chosen_Right); ++k)
{
long long Now = dp[k - 1][((Level - 1) & 1)] + Cost(k, Mid);
if(Now < dp[Mid][(Level & 1)])
dp[Mid][(Level & 1)] = Now, Chosen = k;
}
Keep[Mid][Level] = Chosen;
Go(Left, Mid - 1, Chosen_Left, Chosen, Level);
Go(Mid + 1, Right, Chosen, Chosen_Right, Level);
return;
}
static inline void Initialize ()
{
for(int i = 0; i <= N; ++i)
for(int j = 0; j < (2 - (K == 1)); ++j)
dp[i][j] = INF;
for(int i = 1; i <= N; ++i)
dp[i][1] = Cost(1, i);
Keep[1][1] = 1;
return;
}
static inline void Write ()
{
int pos = N;
for(int i = (K + 1); i > 1; --i)
pos = V[i - 1] = Keep[pos][i] - 1;
for(int i = 1; i <= K; ++i)
{
printf("%d", V[i]);
if(i != K)
printf(" ");
}
printf("\n");
return;
}
static inline void Solve ()
{
Initialize();
for(int j = 2; j <= (K + 1); ++j)
Go(j, N, j, N, j);
ans -= 1LL * dp[N][((K + 1) & 1)];
printf("%lld\n", ans);
Write();
return;
}
int main()
{
Read();
Load();
Solve();
return 0;
}
컴파일 시 표준 에러 (stderr) 메시지
sequence.cpp: In function 'void Read()':
sequence.cpp:79:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
79 | freopen("sequence.in", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:80:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
80 | freopen("sequence.out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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