Submission #989487

#	Time	Username	Problem	Language	Result	Execution time	Memory
989487		khanhtb	Split the sequence (APIO14_sequence)	C++14	49 / 100	79 ms	131072 KiB

sequence

#include<bits/stdc++.h>
#define ll long long
#define ull unsigned long long
#define ld double
#define pb push_back
#define pf push_front
#define vi vector<ll>
#define vii vector<vi>
#define pll pair<ll,ll>
#define vpll vector<pll>
#define all(a) a.begin(), a.end()
#define fi first
#define se second
using namespace std;
const ll mod = 1e9+7;   
const ll inf = 1e18;
const ll base = 31;
const ll blocksz = 320;
const ll N = 1e5+8;
ll pre[N],pre2[N],n,a[N],dp[N][201],k,trace[N][201];
ll cost(ll l, ll r){
    return ((pre[r]-pre[l-1])*(pre[r]-pre[l-1])-(pre2[r]-pre2[l-1]))/2;
}
void dnc(ll l, ll r, ll optl, ll optr, ll j){
    if(l > r) return;
    ll m = l+r>>1;
    pll best = {inf,-1};
    for(ll i = optl; i <= min(m,optr); i++){
        best = min(best,{dp[i-1][j-1]+cost(i,m),i});
    }
    dp[m][j] = best.fi;
    ll opt = best.se;
    trace[m][j] = opt;
    dnc(l,m-1,optl,opt,j);
    dnc(m+1,r,opt,optr,j);
}
void solve(){
    cin >> n >> k;
    k++;
    for(ll i = 1; i <= n; i++){
        cin >> a[i];
        pre[i] = pre[i-1]+a[i];
        pre2[i] = pre2[i-1]+a[i]*a[i];
    }
    for(ll i = 1; i <= n; i++) dp[i][1] = cost(1,i),trace[i][1] = i;
    for(ll j = 2; j <= k; j++) dnc(1,n,1,n,j);
    cout << cost(1,n)-dp[n][k] << '\n';
    vi ans;
    for(ll i = k; i; i--){
        ans.pb(trace[n][i]-1);
        n = trace[n][i]-1;
    }
    ans.pop_back();
    reverse(all(ans));
    for(ll i:ans) cout << i << " ";
}
signed main(){
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    if(fopen("test.inp","r")){
        freopen("test.inp","r",stdin);
        freopen("test.out","w",stdout);
    }
    // freopen("SSEQ.inp","r",stdin);
    // freopen("SSEQ.out","w",stdout);
    ll T = 1;
    // cin >> T;
    while(T--){
        solve();
        cout << '\n';
    }
}

Compilation message (stderr)

sequence.cpp: In function 'void dnc(long long int, long long int, long long int, long long int, long long int)':
sequence.cpp:26:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   26 |     ll m = l+r>>1;
      |            ~^~
sequence.cpp: In function 'int main()':
sequence.cpp:60:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   60 |         freopen("test.inp","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:61:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   61 |         freopen("test.out","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 0 / 11
• Subtask 2: 11 / 11
• Subtask 3: 0 / 11
• Subtask 4: 17 / 17
• Subtask 5: 21 / 21
• Subtask 6: 0 / 29