제출 #1118119

#제출 시각아이디문제언어결과실행 시간메모리
1118119urosk수열 (APIO14_sequence)C++14
50 / 100
167 ms24784 KiB
#define here cerr<<"===========================================\n" #define dbg(x) cerr<<#x<<": "<<x<<endl; #include <bits/stdc++.h> #define llinf 100000000000000000LL // 10^17 #define iinf 2000000000 // 2*10^9 #define pb push_back #define eb emplace_back #define popb pop_back #define fi first #define sc second #define endl '\n' #define all(a) a.begin(),a.end() #define ceri(a,l,r) {cerr<<#a<<": ";for(ll i_ = l;i_<=r;i_++) cerr<<a[i_]<< " ";cerr<<endl;} #define cer(a) {cerr<<#a<<": ";for(ll x_ : a) cerr<<x_<< " ";cerr<<endl;} #define si(a) (ll)(a.size()) using namespace std; using ld = double; using ll = long long; using ull = unsigned long long; using pii = pair<int,int>; using pll = pair<ll,ll>; using pld = pair<ld,ld>; #define mod 1 ll add(ll x,ll y){ x+=y; if(x<0){ x%=mod; x+=mod; }else{ if(x>=mod) x%=mod; } return x; } ll mul(ll a,ll b){ a = add(a,0); b = add(b,0); ll ans = (a*b)%mod; if(ans<0) ans+=mod; return ans; } const ll maxn = 10005; const ll maxk = 205; const ll maxx = 1000005; const ll mx = 40000000000000000; ll n,k; ll a[maxn]; ll ps[maxn]; unsigned long long dp[maxk][maxn]; int opt[maxk][maxn]; void tc(){ cin >> n >> k; for(ll i = 1;i<=n;i++) cin >> a[i]; for(ll i = 1;i<=n;i++) ps[i] = ps[i-1] + a[i]; for(ll j = 1;j<=k;j++) { vector<array<ld,4> > v; ll t = 0; for(ll i = j;i<=n;i++) { if(si(v)) { t = min(t,si(v)-1); t = max(t,0LL); while(t+1<si(v)&&ps[i]>=v[t+1][0]) t++; while(t>=1&&ps[i]<v[t][0]) t--; if(t<0||t>=si(v)) { while(1) here; } dp[j][i] = v[t][1]*ps[i]+v[t][2]; opt[j][i] = v[t][3]; } //lin f(-ps[i]*ps[i]+dp[j-1][i],ps[i]); ll k1 = ps[i],m1 = -ps[i]*ps[i]+dp[j-1][i]; while(si(v)) { auto it = v.back(); ll k2 = it[1],m2 = it[2]; if(k1==k2) { if(m1>m2) { while(v.empty()) here; v.popb(); continue; } break; } ld cx = (m2-m1)*1.0/(k1-k2); if(cx<=it[0]) { while(v.empty()) here; v.popb(); }else { v.pb({cx*1.0,1.0*k1,1.0*m1,i*1.0}); break; } } if(v.empty()) v.pb({-mx*1.0,1.0*k1,1.0*m1,i*1.0}); } //ceri(dp[j],1,n); } cout<<dp[k][n]<<endl; vector<ll> v; for(ll i = k;i>=1;i--) { n = opt[i][n]; v.pb(n); } for(ll x : v) cout<<x<< " "; cout<<endl; } int main(){ ios_base::sync_with_stdio(false);cerr.tie(0);cout.tie(0);cin.tie(0); int t; t = 1; while(t--){ tc(); } return (0-0); }
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