#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
#define lld long long
const lld N=203;
const lld L=48;
const lld inf=-1e18-5;
bool quick=false;
lld ile=0;
lld n, m, p;
lld a[N];
lld pref[N];
lld dp[N][N][L];
lld jedynka[L];
lld suff[N][L];
lld sum(int a, int b){
if(a>b) return -1;
else return pref[b]-pref[a-1];
}
lld check(){
lld k=1;
lld ile=1;
while(k<m){
ile++;
k*=2;
}
if(k-1==m) quick=true; //xddd
return ile-1;
}
void count2(lld i, lld k){
suff[i][k]=suff[i][k-1];
for(int j=n; j>=i; j--){
if(dp[j][n][jedynka[k]]!=inf)
suff[i][k]=max(suff[i][k], k*sum(j, n)+dp[j][n][jedynka[k]]+suff[i][k-1]-suff[j][k-1]);
}
}
void solve2(){
for(int k=1; k<=ile; k++){
for(int i=n; i>0; i--){
count2(i, k);
}
}
}
void jazda(){
ile=0;
for(int i=0; i<p; i++){
if(m&(1<<i)) ile++;
}
int l=ile;
for(int i=0; i<p; i++){
if(m&(1<<i)){
jedynka[l]=i;
l--;
}
}
for(int i=n; i>0; i--){
suff[i][0]=dp[i][n][p];
}
solve2();
cout<<suff[1][ile]<<"\n";
}
void count(lld i, lld j, lld k){
dp[i][j][k]=dp[i][j][k-1];
if(dp[i][j][k]!=inf) dp[i][j][k]=max(dp[i][j][k], dp[i][j][k]+sum(i, j));
for(int x=1; x<j-i+1; x++){
if(dp[i][i+x-1][k-1]!=inf && dp[i+x][j][k-1]!=inf)
dp[i][j][k]=max(dp[i][j][k], dp[i][i+x-1][k-1]+dp[i+x][j][k-1]+sum(i+x, j));
}
}
void solve(){
for(lld k=1; k<=p; k++){
for(lld l=1; l<=n; l++){
for(lld i=1; i+l-1<=n; i++){
lld j=i+l-1;
count(i, j, k);
//cout<<dp[i][j][k] <<" "<<i<<" "<<j<<" "<<k<<endl;
}
}
}
}
int main(){
cin>>n>>m;
for(int i=1; i<=n; i++){
cin>>a[i];
pref[i]=pref[i-1]+a[i];
}
p=check();
//cout<<p<<endl;
for(int i=1; i<=n; i++){ //inty
for(int j=1; j<=n; j++){
for(int k=0; k<=p; k++){
dp[i][j][k]=inf;
}
}
}
for(int i=1; i<=n; i++){
dp[i][i][0]=0;
}
solve();
if(quick) cout<<dp[1][n][p]<<"\n";
else jazda();
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 | #include <iostream> #include <algorithm> #include <vector> using namespace std; #define lld long long const lld N=203; const lld L=48; const lld inf=-1e18-5; bool quick=false; lld ile=0; lld n, m, p; lld a[N]; lld pref[N]; lld dp[N][N][L]; lld jedynka[L]; lld suff[N][L]; lld sum(int a, int b){ if(a>b) return -1; else return pref[b]-pref[a-1]; } lld check(){ lld k=1; lld ile=1; while(k<m){ ile++; k*=2; } if(k-1==m) quick=true; //xddd return ile-1; } void count2(lld i, lld k){ suff[i][k]=suff[i][k-1]; for(int j=n; j>=i; j--){ if(dp[j][n][jedynka[k]]!=inf) suff[i][k]=max(suff[i][k], k*sum(j, n)+dp[j][n][jedynka[k]]+suff[i][k-1]-suff[j][k-1]); } } void solve2(){ for(int k=1; k<=ile; k++){ for(int i=n; i>0; i--){ count2(i, k); } } } void jazda(){ ile=0; for(int i=0; i<p; i++){ if(m&(1<<i)) ile++; } int l=ile; for(int i=0; i<p; i++){ if(m&(1<<i)){ jedynka[l]=i; l--; } } for(int i=n; i>0; i--){ suff[i][0]=dp[i][n][p]; } solve2(); cout<<suff[1][ile]<<"\n"; } void count(lld i, lld j, lld k){ dp[i][j][k]=dp[i][j][k-1]; if(dp[i][j][k]!=inf) dp[i][j][k]=max(dp[i][j][k], dp[i][j][k]+sum(i, j)); for(int x=1; x<j-i+1; x++){ if(dp[i][i+x-1][k-1]!=inf && dp[i+x][j][k-1]!=inf) dp[i][j][k]=max(dp[i][j][k], dp[i][i+x-1][k-1]+dp[i+x][j][k-1]+sum(i+x, j)); } } void solve(){ for(lld k=1; k<=p; k++){ for(lld l=1; l<=n; l++){ for(lld i=1; i+l-1<=n; i++){ lld j=i+l-1; count(i, j, k); //cout<<dp[i][j][k] <<" "<<i<<" "<<j<<" "<<k<<endl; } } } } int main(){ cin>>n>>m; for(int i=1; i<=n; i++){ cin>>a[i]; pref[i]=pref[i-1]+a[i]; } p=check(); //cout<<p<<endl; for(int i=1; i<=n; i++){ //inty for(int j=1; j<=n; j++){ for(int k=0; k<=p; k++){ dp[i][j][k]=inf; } } } for(int i=1; i<=n; i++){ dp[i][i][0]=0; } solve(); if(quick) cout<<dp[1][n][p]<<"\n"; else jazda(); } |
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