Submission #1295644

#	Time	Username	Problem	Language	Result	Execution time	Memory
1295644		nqc	Triple Jump (JOI19_jumps)	C++20	100 / 100	632 ms	205768 KiB

jumps

#include<bits/stdc++.h>
using namespace std;

#define fi first
#define se second
#define ll long long
#define ull unsigned long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pli pair<ll, int>
#define debug(x) cout << #x << " = " << x << '\n'
#define all(a) a.begin(), a.end()
#define SZ(a) (int)(a).size()

const int N = 5e5 + 5;
const int mod = 1e9 + 7;
const ll inf64 = 3e18;
const int inf32 = 2e9 + 5;

int n, a[N], q;
pii que[N];

namespace sub1 {
   int mx[105][105];

   void sol() {
      for(int i = 1; i <= n; i++) {
         mx[i][i] = a[i];
         for(int j = i + 1; j <= n; j++) 
            mx[i][j] = max(mx[i][j - 1], a[j]);
      }

      for(int t = 1; t <= q; t++) {
         int l, r; 
         tie(l, r) = que[t];

         int ans = 0;
         for(int i = l; i <= r; i++) {
            for(int j = i + 1; j <= r; j++) {
               int k = j + (j - i);
               if(k <= r) ans = max(ans, a[i] + a[j] + mx[k][r]);
            }
         }
         cout << ans << '\n';
      }
   }
}

namespace sub2 {
   void sol() {
      vector<vector<int>> mx(n + 3, vector<int>(n + 3, 0));
      for(int i = 1; i <= n; i++) {
         mx[i][i] = a[i];
         for(int j = i + 1; j <= n; j++) 
            mx[i][j] = max(mx[i][j - 1], a[j]);
      }

      vector<vector<int>> dp(n + 3, vector<int>(n + 3, 0));
      for(int i = n; i >= 1; i--) for(int j = i + 2; j <= n; j++) {
         if(j == i + 2) {
            dp[i][j] = a[i] + a[i + 1] + a[i + 2];
            continue;
         }

         dp[i][j] = max(dp[i][j - 1], dp[i + 1][j]);
         dp[i][j] = max(dp[i][j], a[i] + a[j] + mx[i + 1][(i + j) / 2]);
      }

      for(int i = 1; i <= q; i++) 
         cout << dp[que[i].fi][que[i].se] << '\n';
   }
}

struct SegmentTree {
   int n;
   vector<int> node, lz, vals;

   SegmentTree() {}
   SegmentTree(int n) : n(n), node(n << 2, 0), lz(n << 2, 0), vals(n << 2, 0) {}

   void build(int id, int l, int r) {
      if(l == r) {
         vals[id] = a[l];
         return;
      }

      int mid = (l + r) >> 1;
      build(id << 1, l, mid);
      build(id << 1 | 1, mid + 1, r);

      vals[id] = max(vals[id << 1], vals[id << 1 | 1]);
   }

   void down(int id) {
      if(!lz[id]) return;

      int v = lz[id];
      lz[id << 1] = max(lz[id << 1], v);
      lz[id << 1 | 1] = max(lz[id << 1 | 1], v);
      node[id << 1] = max(node[id << 1], v + vals[id << 1]);
      node[id << 1 | 1] = max(node[id << 1 | 1], v + vals[id << 1 | 1]);

      lz[id] = 0;
   }

   void upd(int id, int l, int r, int x, int y, int v) {
      if(x <= l && r <= y) {
         lz[id] = max(lz[id], v);
         node[id] = max(node[id], vals[id] + v);
         return;
      }

      down(id);
      int mid = (l + r) >> 1;
      if(mid >= x) upd(id << 1, l, mid, x, y, v);
      if(mid + 1 <= y) upd(id << 1 | 1, mid + 1, r, x, y, v);

      node[id] = max(node[id << 1], node[id << 1 | 1]);
   }
   void upd(int l, int r, int x) { if(l <= r) upd(1, 1, n, l, r, x); }

   int get(int id, int l, int r, int x, int y) {
      if(x <= l && r <= y) return node[id];

      down(id);
      int mid = (l + r) >> 1;
      if(mid < x) return get(id << 1 | 1, mid + 1, r, x, y);
      if(mid + 1 > y) return get(id << 1, l, mid, x, y);
      return max(get(id << 1, l, mid, x, y), get(id << 1 | 1, mid + 1, r, x, y));
   }
   int get(int l, int r) { return (l <= r ? get(1, 1, n, l, r) : 0); }
};

namespace sub4 {
   vector<pii> qr[N];
   int ans[N];

   void sol() {
      for(int i = 1; i <= q; i++) 
         qr[que[i].fi].push_back(make_pair(que[i].se, i));

      SegmentTree seg(n);
      seg.build(1, 1, n);

      stack<int> st;
      for(int i = n; i >= 1; i--) {
         while(SZ(st) && a[st.top()] <= a[i]) {
            int x = i, y = st.top(); st.pop();
            seg.upd(y + (y - x), n, a[x] + a[y]);
         }
         if(SZ(st)) {
            int x = i, y = st.top();
            seg.upd(y + (y - x), n, a[x] + a[y]);
         }
         st.push(i);

         for(pii Q : qr[i]) {
            int r, idx;
            tie(r, idx) = Q;

            ans[idx] = seg.get(i, r);
         }
      }

      for(int i = 1; i <= q; i++) 
         cout << ans[i] << '\n';
   }
}

void solve() {
   cin >> n;
   for(int i = 1; i <= n; i++) 
      cin >> a[i];
   cin >> q;
   for(int i = 1; i <= q; i++) 
      cin >> que[i].fi >> que[i].se;

   if(n <= 100 && q <= 100) return sub1::sol();
   if(n <= 5000) return sub2::sol();
   return sub4::sol();
}

int main() {
   ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
   int test = 1; 
   // cin >> test;
   while(test--) solve();
}

• Subtask 1: 5 / 5
• Subtask 2: 14 / 14
• Subtask 3: 27 / 27
• Subtask 4: 54 / 54