oj.uz

Submission #570636

# Submission time Handle Problem Language Result Execution time Memory
570636 2022-05-30T20:13:06 Z MohammadAghil Triple Jump (JOI19_jumps) C++14
100 / 100
 1091 ms 97644 KB 
      #include <bits/stdc++.h>
//   #pragma GCC optimize ("Ofast,unroll-loops")
// #pragma GCC target ("avx2")
    using namespace std;
  typedef long long ll;
    typedef pair<long double, ll> pp;
     #define er(args ...) cerr << __LINE__ << ": ", err(new istringstream(string(#args)), args), cerr << endl
       #define per(i,r,l) for(int i = (r); i >= (l); i--)
         #define rep(i,l,r) for(int i = (l); i < (r); i++)
           #define all(x) x.begin(), x.end()
              #define sz(x) (int)(x).size()
                  #define pb push_back
                      #define ss second
                           #define ff first
                                   void err(istringstream *iss){}template<typename T,typename ...Args> void err(istringstream *iss,const T &_val, const Args&...args){string _name;*iss>>_name;if(_name.back()==',')_name.pop_back();cerr<<_name<<" = "<<_val<<", ",err(iss,args...);}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll mod = 998244353, maxn = 5e5 + 5, lg = 19, inf = ll(1e9) + 5;
ll pw(ll a,ll b,ll md=mod){if(!b)return 1;ll k=pw(a,b>>1ll);return k*k%md*(b&1ll?a:1)%md;} 

ll a[maxn]; 
int n, q;

void slv1_2(){
     vector<vector<ll>> mx(n, vector<ll>(n, -inf));
     rep(i,0,n){
          mx[i][i] = a[i]; 
          rep(j,i+1,n) mx[i][j] = max(mx[i][j-1], a[j]);
     }
     vector<vector<ll>> ans(n, vector<ll>(n, -inf));
     rep(l,3,n+1){
          rep(i,0,n-l+1){
               int j = i + l - 1;
               ans[i][j] = max({ans[i+1][j], ans[i][j-1], a[i] + a[j] + mx[i+1][(i+j)>>1]});
          }
     }
     while(q--){
          int l, r; cin >> l >> r;
          cout << ans[--l][--r] << '\n';
     }
}

template<class T> struct Rmq{
     vector<vector<T>> rmq;
     vector<int> lgg;
     T comb(T a, T b){
          return max(a, b);
     }
     Rmq(vector<T> a){
          int n = sz(a);
          lgg.resize(n + 1);
          rep(i,2,n + 1) lgg[i] = lgg[i>>1] + 1;
          rmq.assign(lgg[n] + 1, vector<T>(n));
          rmq[0] = a;
          rep(i,1,lgg[n] + 1){
               rep(j,0,n-(1<<i)+1){
                    rmq[i][j] = comb(rmq[i-1][j], rmq[i-1][j + (1 << (i-1))]);
               }
          }
     }
     T get(int l, int r){ // 0-base [l, r]
          int g = lgg[r - l + 1];
          return comb(rmq[g][l], rmq[g][r - (1<<g) + 1]);
     }
};

void slv3(){
     int l, r; cin >> l >> r; l--, r--, n = r - l + 1;
     vector<int> b(a + l, a + r + 1); 
     Rmq<int> rmq(b);
     auto get_max = [&](int l, int r){
          if(l > r || r < 0) return -1;
          l = max(0, l), r = min(r, n-1);
          return rmq.get(l, r);
     };
     auto clc = [&](int i){
          ll res = -inf;

          // right
          rep(j,0,i) res = max(res, 1ll*b[i] + b[j] + get_max(j-(i-j),j-1));

          // center
          rep(j,0,i) res = max(res, 1ll*b[i] + b[j] + get_max(i+(i-j),n-1));

          // left
          rep(j,i+1,n) res = max(res, 1ll*b[i] + b[j] + get_max(j+(j-i),n-1)); 

          return res;
     };
     vector<int> c(n); iota(all(c), 0), sort(all(c), [&](int i, int j){ return b[i] > b[j]; }); 
     ll ans = 0; int g = min(int(log2(n))+3, n);
     rep(i,0,g){
          ans = max(ans, clc(c[i]));
     }
     cout << ans << '\n';
}

struct LazySegment{
     vector<ll> seg, vl, laz;
     int n;
     void init(int _n, vector<ll> a = {}){
          n = _n;
          seg.assign(n<<2, 0), laz.assign(n<<2, 0), vl.assign(n<<2, 0); // init
          if(sz(a)) build(a, 1, 0, n);
     }
     void updNode(int x, ll k){
          seg[x] = max(vl[x] + k, seg[x]), laz[x] = max(laz[x], k);
     }
     void build(const vector<ll>& a, int x, int lx, int rx){
          if(lx + 1 == rx){ 
               seg[x] = vl[x] = a[lx]; 
               return;
          }
          int mid = (lx + rx)>>1;
          build(a, x<<1, lx, mid), build(a, x<<1|1, mid, rx);
          seg[x] = vl[x] = max(seg[x<<1], seg[x<<1|1]);
     }
     void shift(int x){
          if(laz[x]){
               updNode(x<<1, laz[x]);
               updNode(x<<1|1, laz[x]);
               laz[x] = 0;
          }
     }
     void upd(int l, int r, ll a, int x, int lx, int rx){
          if(l <= lx && r >= rx){
               updNode(x, a);
               return;
          } if(l >= rx || r <= lx) return;
          shift(x); int mid = (lx + rx)>>1;
          upd(l, r, a, x<<1, lx, mid), upd(l, r, a, x<<1|1, mid, rx);
          seg[x] = max(seg[x<<1], seg[x<<1|1]);
     }
     void upd(int l, int r, ll a){ upd(l, r, a, 1, 0, n); }
     ll get(int l, int r, int x, int lx, int rx){
          if(l <= lx && r >= rx) return seg[x];
          if(l >= rx || r <= lx) return -1; // init
          shift(x); int mid = (lx + rx)>>1;
          return max(get(l, r, x<<1, lx, mid), get(l, r, x<<1|1, mid, rx));
     }
     ll get(int l, int r){ return get(l, r, 1, 0, n); }
};

void slv4(){
     vector<vector<pp>> st(n);
     vector<ll> ans(q);
     rep(i,0,q){
          int l, r; cin >> l >> r; l--, r--;
          st[l].pb({r, i});
     }
     vector<int> stk;
     LazySegment seg;
     seg.init(n, vector<ll>(a, a + n));
     per(i,n-1,0){
          vector<int> candj;
          while(sz(stk) && a[stk.back()] < a[i]) candj.pb(stk.back()), stk.pop_back();
          if(sz(stk)) candj.pb(stk.back());
          stk.pb(i);
          for(int j: candj){
               int k = j+j-i;
               if(k > n) continue;
               seg.upd(k, n, a[i] + a[j]);
          }
          for(auto[r,id]: st[i]) ans[id] = seg.get(i, r+1);
     }
     for(ll c: ans) cout << c << '\n';
}


int main(){
     cin.tie(0) -> sync_with_stdio(0);
     cin >> n;
     rep(i,0,n) cin >> a[i];
     cin >> q;
     slv4();
     return 0; 
}

Compilation message

jumps.cpp: In function 'void slv4()':
jumps.cpp:163:19: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  163 |           for(auto[r,id]: st[i]) ans[id] = seg.get(i, r+1);
      |                   ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 317 ms 35948 KB Output is correct
12 Correct 276 ms 35904 KB Output is correct
13 Correct 268 ms 36000 KB Output is correct
14 Correct 313 ms 36088 KB Output is correct
15 Correct 269 ms 35984 KB Output is correct
16 Correct 297 ms 35356 KB Output is correct
17 Correct 313 ms 35388 KB Output is correct
18 Correct 277 ms 35260 KB Output is correct
19 Correct 278 ms 35808 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 158 ms 26964 KB Output is correct
2 Correct 93 ms 27140 KB Output is correct
3 Correct 88 ms 26876 KB Output is correct
4 Correct 152 ms 26860 KB Output is correct
5 Correct 177 ms 26844 KB Output is correct
6 Correct 146 ms 26856 KB Output is correct
7 Correct 155 ms 26868 KB Output is correct
8 Correct 163 ms 26964 KB Output is correct
9 Correct 162 ms 26964 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 317 ms 35948 KB Output is correct
12 Correct 276 ms 35904 KB Output is correct
13 Correct 268 ms 36000 KB Output is correct
14 Correct 313 ms 36088 KB Output is correct
15 Correct 269 ms 35984 KB Output is correct
16 Correct 297 ms 35356 KB Output is correct
17 Correct 313 ms 35388 KB Output is correct
18 Correct 277 ms 35260 KB Output is correct
19 Correct 278 ms 35808 KB Output is correct
20 Correct 158 ms 26964 KB Output is correct
21 Correct 93 ms 27140 KB Output is correct
22 Correct 88 ms 26876 KB Output is correct
23 Correct 152 ms 26860 KB Output is correct
24 Correct 177 ms 26844 KB Output is correct
25 Correct 146 ms 26856 KB Output is correct
26 Correct 155 ms 26868 KB Output is correct
27 Correct 163 ms 26964 KB Output is correct
28 Correct 162 ms 26964 KB Output is correct
29 Correct 1091 ms 93588 KB Output is correct
30 Correct 918 ms 97644 KB Output is correct
31 Correct 852 ms 93516 KB Output is correct
32 Correct 1025 ms 93688 KB Output is correct
33 Correct 1048 ms 93644 KB Output is correct
34 Correct 1025 ms 92884 KB Output is correct
35 Correct 1022 ms 92852 KB Output is correct
36 Correct 1022 ms 92952 KB Output is correct
37 Correct 1028 ms 93508 KB Output is correct
38 Correct 707 ms 95436 KB Output is correct
39 Correct 714 ms 95464 KB Output is correct
40 Correct 689 ms 94400 KB Output is correct
41 Correct 692 ms 94308 KB Output is correct
42 Correct 694 ms 94416 KB Output is correct
43 Correct 677 ms 94472 KB Output is correct
44 Correct 743 ms 95916 KB Output is correct
45 Correct 746 ms 95948 KB Output is correct
46 Correct 737 ms 94796 KB Output is correct
47 Correct 751 ms 94816 KB Output is correct
48 Correct 706 ms 94796 KB Output is correct
49 Correct 724 ms 95488 KB Output is correct
50 Correct 810 ms 96844 KB Output is correct
51 Correct 814 ms 96784 KB Output is correct
52 Correct 800 ms 96112 KB Output is correct
53 Correct 800 ms 96000 KB Output is correct
54 Correct 804 ms 95924 KB Output is correct
55 Correct 799 ms 96656 KB Output is correct