Submission #1277115

#TimeUsernameProblemLanguageResultExecution timeMemory
1277115quanduongxuan12Split the sequence (APIO14_sequence)C++20
50 / 100
2094 ms10044 KiB
#include <bits/stdc++.h> using namespace std; #define name "splitsequence" #define MAXN 100005 #define pb push_back #define pf push_front #define ll long long #define ii pair<int, int> #define fs first #define sc second #define ill pair<int, ll> #define lli pair<ll, int> #define llll pair<ll, ll> #define all(v) v.begin(),v.end() #define uni(v) v.erase(unique(all(v)),v.end()) #define bit(n,i) (((n)>>(i))&1) #define FOR(i,a,b) for (int i=(a),_b=(b); i<=_b; i++) #define FORD(i,a,b) for (int i=(a),_b=(b); i>=_b; i--) #define MASK(i) (1LL<<(i)) const int INF=1e9; const int MOD=1e9+7; void add(int &u, int v){ u+=v; if (u>=MOD) u-=MOD; } void sub(int &u, int v){ u-=v; if (u<0) u+=MOD; } void minimize(int &u, int v){ u=min(u,v); } bool maximize(ll &u, ll v){ if (u<=v){ u=v; return 1; } return 0; } long long Rand(long long l, long long r){ ll tmp=0; FOR(i,1,4) tmp=((tmp<<15)^(((1<<15)-1)&rand())); return l+tmp%(r-l+1); } int n,k; int a[MAXN]; ll dp[MAXN][2]; int trace[MAXN][202]; ll sum[MAXN]; ll get(int l, int r){ if (l>r) return 0; return sum[r]-sum[l-1]; } int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); cin>>n>>k; FOR(i,1,n) cin>>a[i]; FOR(i,1,n) sum[i]=sum[i-1]+1LL*a[i]; memset(dp,-0x3f,sizeof(dp)); dp[0][0]=0; ll res=0; int u=-1; FOR(g,1,k){ //int j=g-1; FOR(i,g,n-1){ FOR(j,g-1,i-1){ if (maximize(dp[i][g&1],dp[j][(g&1)^1]+1LL*get(j+1,i)*get(i+1,n))){ trace[i][g]=j; } } if (trace[i][g]<trace[i-1][g]) return -1; /* while (j<i-1&&dp[j][(g&1)^1]+get(j+1,i)*get(i+1,n)<=dp[j+1][(g&1)^1]+get(j+2,i)*get(i+1,n)){ ++j; } dp[i][g&1]=dp[j][(g&1)^1]+get(j+1,i)*get(i+1,n); trace[i][g]=j; */ if (maximize(res,dp[i][g&1])){ u=i; } } } cout<<res<<"\n"; int v=k; vector<int> vec; while (u>0){ vec.pb(u); u=trace[u][v]; --v; } reverse(all(vec)); for (int x:vec) cout<<x<<" "; return 0; }
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