結果

問題 No.2988 Min-Plus Convolution Query
ユーザー PCTprobabilityPCTprobability
提出日時 2024-12-13 00:25:08
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 6,375 bytes
コンパイル時間 5,216 ms
コンパイル使用メモリ 278,236 KB
実行使用メモリ 49,508 KB
最終ジャッジ日時 2024-12-13 00:26:14
合計ジャッジ時間 64,254 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 6 ms
10,496 KB
testcase_01 WA -
testcase_02 TLE -
testcase_03 TLE -
testcase_04 TLE -
testcase_05 WA -
testcase_06 WA -
testcase_07 WA -
testcase_08 WA -
testcase_09 AC 868 ms
17,408 KB
testcase_10 WA -
testcase_11 WA -
testcase_12 WA -
testcase_13 WA -
testcase_14 AC 183 ms
13,764 KB
testcase_15 WA -
testcase_16 TLE -
testcase_17 AC 1,589 ms
19,456 KB
testcase_18 AC 1,598 ms
21,224 KB
testcase_19 AC 1,599 ms
19,584 KB
testcase_20 TLE -
testcase_21 TLE -
testcase_22 TLE -
testcase_23 TLE -
testcase_24 TLE -
testcase_25 TLE -
testcase_26 TLE -
testcase_27 TLE -
testcase_28 TLE -
testcase_29 TLE -
testcase_30 TLE -
testcase_31 TLE -
testcase_32 AC 13 ms
5,248 KB
testcase_33 AC 7 ms
5,248 KB
testcase_34 AC 6 ms
5,248 KB
testcase_35 AC 6 ms
5,248 KB
testcase_36 AC 6 ms
5,248 KB
testcase_37 AC 6 ms
5,248 KB
testcase_38 AC 7 ms
5,248 KB
testcase_39 AC 6 ms
5,248 KB
testcase_40 AC 7 ms
5,248 KB
testcase_41 AC 6 ms
32,072 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#endif
using ll = long long;
using ld = long double;
using ull = unsigned long long;
#define endl "\n"
typedef pair<int, int> Pii;
#define REP(i, n) for (int i = 0; i < (n); ++i)
#define REP3(i, m, n) for (int i = (m); (i) < int(n); ++ (i))
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(x) begin(x), end(x)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(s) (s).begin(),(s).end()
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
#define rever(vec) reverse(vec.begin(), vec.end())
#define sor(vec) sort(vec.begin(), vec.end())
#define fi first
#define FOR_(n) for (ll _ = 0; (_) < (ll)(n); ++(_))
#define FOR(i, n) for (ll i = 0; (i) < (ll)(n); ++(i))
#define se second
#define pb push_back
#define P pair<ll,ll>
#define PQminll priority_queue<ll, vector<ll>, greater<ll>>
#define PQmaxll priority_queue<ll,vector<ll>,less<ll>>
#define PQminP priority_queue<P, vector<P>, greater<P>>
#define PQmaxP priority_queue<P,vector<P>,less<P>>
#define NP next_permutation
#define die(a) {cout<<a<<endl;return 0;}
#define dier(a) {return a;}
//const ll mod = 1000000009;
const ll mod = 998244353;
//const ll mod = 1000000007;
const ll inf = 4000000000000000000ll;
const ld eps = ld(0.00000000001);
static const long double pi = 3.141592653589793;
template<class T>void vcin(vector<T> &n){for(int i=0;i<int(n.size());i++) cin>>n[i];}
template<class T,class K>void vcin(vector<T> &n,vector<K> &m){for(int i=0;i<int(n.size());i++) cin>>n[i]>>m[i];}
template<class T>void vcout(vector<T> &n){for(int i=0;i<int(n.size());i++){cout<<n[i]<<" ";}cout<<endl;}
template<class T>void vcin(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cin>>n[i][j];}}}
template<class T>void vcout(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cout<<n[i][j]<<" ";}cout<<endl;}cout<<endl;}
void yes(bool a){cout<<(a?"yes":"no")<<endl;}
void YES(bool a){cout<<(a?"YES":"NO")<<endl;}
void Yes(bool a){cout<<(a?"Yes":"No")<<endl;}
void possible(bool a){ cout<<(a?"possible":"impossible")<<endl; }
void Possible(bool a){ cout<<(a?"Possible":"Impossible")<<endl; }
void POSSIBLE(bool a){ cout<<(a?"POSSIBLE":"IMPOSSIBLE")<<endl; }
#define FOR_R(i, n) for (ll i = (ll)(n)-1; (i) >= 0; --(i))
//template<class T>auto min(const T& a){ return *min_element(all(a)); }
//template<class T>auto max(const T& a){ return *max_element(all(a)); }
template<class T,class F>void print(pair<T,F> a){cout<<a.fi<<" "<<a.se<<endl;}
template<class T>bool chmax(T &a,const T b) { if (a<b) { a=b; return 1; } return 0;}
template<class T>bool chmin(T &a,const T b) { if (b<a) { a=b; return 1; } return 0;}
template<class T> void ifmin(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
template<class T> void ifmax(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
ll fastgcd(ll u,ll v){ll shl=0;while(u&&v&&u!=v){bool eu=!(u&1);bool ev=!(v&1);if(eu&&ev){++shl;u>>=1;v>>=1;}else if(eu&&!ev){u>>=1;}else if(!eu&&ev){v>>=1;}else if(u>=v){u=(u-v)>>1;}else{ll tmp=u;u=(v-u)>>1;v=tmp;}}return !u?v<<shl:u<<shl;}
ll modPow(ll a, ll n, ll mod) { if(mod==1) return 0;ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; }
vector<ll> divisor(ll x){ vector<ll> ans; for(ll i = 1; i * i <= x; i++){ if(x % i == 0) {ans.push_back(i); if(i*i!=x){ ans.push_back(x / ans[i]);}}}sor(ans); return ans; }
ll pop(ll x){return __builtin_popcountll(x);}
ll poplong(ll x){ll y=0;while(x){x/=2;y++;}return y;}
P hyou(P a){ll x=fastgcd(abs(a.fi),abs(a.se));a.fi/=x;a.se/=x;if(a.se<0){a.fi*=-1;a.se*=-1;}return a;}
P Pplus(P a,P b){ return hyou({a.fi*b.se+b.fi*a.se,a.se*b.se});}
P Ptimes(P a,ll b){ return hyou({a.fi*b,a.se});}
P Ptimes(P a,P b){ return hyou({a.fi*b.fi,a.se*b.se});}
P Pminus(P a,P b){ return hyou({a.fi*b.se-b.fi*a.se,a.se*b.se});}
P Pgyaku(P a){ return hyou({a.se,a.fi});}
 
void cincout(){
  ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
  cout<< fixed << setprecision(15);
}
constexpr int msb(unsigned int n){return n==0?-1:31-__builtin_clz(n);}
constexpr int msb(int n){return n==0?-1:31-__builtin_clz(n);}
constexpr int msb(unsigned long long n){return n==0?-1:63-__builtin_clzll(n);}
constexpr int msb(long long n){return n==0?-1:63-__builtin_clzll(n);}
template<typename Func>
std::vector<int>monotone_minima(int n,int m,const Func&f){
  std::vector<int>res(n);
  std::vector<tuple<int,int,int,int>>st(msb(n)*2+5);
  int p=0;
  st[p++]=std::make_tuple(0,n,0,m);
  while(p>0){
    auto [lx,rx,ly,ry]=st[--p];
    if(lx==rx)continue;
    if(lx+1==rx){
      res[lx]=ly;
      for(int i=ly+1;i<ry;i++)if(f(lx,res[lx],i))res[lx]=i;
    }
    else{
      int mid=(lx+rx)>>1;
      res[mid]=ly;
      for(int i=ly+1;i<ry;i++)if(f(mid,res[mid],i))res[mid]=i;
      st[p++]=std::make_tuple(lx,mid,ly,res[mid]+1);
      st[p++]=std::make_tuple(mid+1,rx,res[mid],ry);
    }
  }
  return res;
}
template<typename T,bool MIN=true>
std::vector<T>min_plus_convolution(const std::vector<T>&a,const std::vector<T>&b){
  int n=a.size(),m=b.size();
  auto f=[&](int i,int j,int k)->bool {
    if(i<k)return false;
    if(i-j>=n)return true;
    if constexpr(MIN)return a[i-j]+b[j]>a[i-k]+b[k];
    else return a[i-j]+b[j]<a[i-k]+b[k];
  };
  std::vector<int>argmin=monotone_minima(n+m-1,m,f);
  std::vector<T>res(n+m-1);
  for(int i=0;i<n+m-1;i++)res[i]=a[i-argmin[i]]+b[argmin[i]];
  return res;
}
int main(){
  cincout();
  ll n,q;
  cin>>n>>q;
  vector<ll> a(n),b(n);
  vcin(a);
  vcin(b);
  ll d=2000;
  vector<vector<ll>> f(q);
  for(int i=0;i<q;i++){
    vector<ll> x(3);
    vcin(x);
    x[0]--;
    x[2]-=2;
    f[i]=x;
  }
  while(f.size()%d){
    f.pb({0,0,0});
  }
  vector<int> id(d);
  vector<ll> c;
  vector<ll> a2;
  for(int i=0;i<q;i+=d){
    a2=a;
    for(int j=0;j<d;j++){
      id[j]=f[i+j][0];
      a[id[j]]=5000000000ll;
    }
    c=min_plus_convolution(a,b);
    for(int j=0;j<n;j++){
      a[j]=a2[j];
    }
    for(int j=0;j<d;j++){
      a[f[i+j][0]]=f[i+j][1];
      ll ans=c[f[i+j][2]];
      for(auto e:id){
        if(f[i+j][2]-e>=0&&f[i+j][2]-e<n) chmin(ans,a[e]+b[f[i+j][2]-e]);
      }
      if(i+j<q) cout<<ans<<endl;
    }
  }
}
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