Submission #1018127

# Submission time Handle Problem Language Result Execution time Memory
1018127 2024-07-09T15:00:50 Z cadmiumsky Radio Towers (IOI22_towers) C++17
100 / 100
1601 ms 529232 KB
#include "towers.h"
 
#include <vector>
#include <bits/stdc++.h>
#define all(x) (x).begin(),(x).end()
using namespace std;
 
using ll = long long;
using ld = long double;
 
#define int ll
#define sz(x) ((int)(x).size())
 
using pii = pair<int,int>;
using tii = tuple<int,int,int>;
 
const int nmax = 2e5 + 5;
int v[nmax];
 
namespace DSU {
   int dsu[nmax], nxt[nmax];
   int mxR[nmax];
 
   void init(int l, int r) {
      for(int i = l; i <= r; i++) dsu[i] = i, nxt[i] = i + 1;
      return;
   }
   int f(int x) { return x == dsu[x]? x : dsu[x] = f(dsu[x]); }
   void unite(int x, int y) {
      x = f(x);
      y = f(y);
      if(x == y) return;
      if(x > y) swap(x, y);
      dsu[y] = x;
      mxR[x] = max(mxR[x], mxR[y]);
      nxt[x] = nxt[y];
      return;
   }
   int coef(int i, const vector<int>& p) {
      i = f(i);
      return mxR[i] - max(v[p[i]], v[p[nxt[i]]]);
   }
}
 
int timeout[nmax];
int dir[nmax];
 
void initglobals(signed L, signed R) {
   
   ++L;
   ++R;
   
   vector<int> p;
   for(int i = L; i <= R; i++) {
      if((i == L  || v[i] < v[i - 1]) && (i == R || v[i] < v[i + 1])) p.emplace_back(i), timeout[i] = 1e9 + 5;
      else timeout[i] = 0;
   }
   
   DSU::init(0, sz(p));
   
   set<pii> heap;
   
   set<int> indemnizatii;
   for(int i = 0; i < sz(p) - 1; i++) {
      indemnizatii.emplace(i);
      indemnizatii.emplace(i + 1);
      int mx = v[p[i] + 1];
      for(int j = p[i] + 2; j < p[i + 1]; j++)
         mx = max(mx, v[j]);
      DSU::mxR[i] = mx;
      heap.emplace(mx - max(v[p[i]], v[p[i + 1]]), i);
   }
   
   auto get = [&](int p_) { return pii{DSU::coef(p_, p), p_}; };
      
   while(!heap.empty()) {
      auto [C, i] = *heap.begin();
      heap.erase(heap.begin());
      
      i = DSU::f(i);
      int urm = DSU::nxt[i];
      if(i != *indemnizatii.begin()) {
         int ant = DSU::f(i - 1);
         heap.erase(heap.find(get(ant)));
      }
      if(urm != *indemnizatii.rbegin()) 
         heap.erase(heap.find(get(urm)));
      
      if(v[p[i]] < v[p[urm]]) {
         timeout[p[urm]] = C;
         dir[p[urm]] = p[i];
         DSU::unite(i, urm);
         indemnizatii.erase(urm);
         if(i != *indemnizatii.begin()) {
            int ant = DSU::f(i - 1);
            heap.insert(get(ant));
         }
         if(i != *indemnizatii.rbegin())
            heap.insert(get(i));
         
      }
      else {
         timeout[p[i]] = C;
         dir[p[i]] = p[urm];
         if(i != *indemnizatii.begin()) {
            int ant = DSU::f(i - 1);
            DSU::unite(ant, i);
            heap.insert(get(ant));
         }
         if(urm != *indemnizatii.rbegin())
            heap.insert(get(urm));
         indemnizatii.erase(i);
      }  
   }
}
 
 
template<typename T>
struct AINT {
   struct Node {
      Node *l, *r;
      T inner;
   };
   Node mem[nmax * 36];
   int cnt = 0;
   using ns = Node*;
   
   int n;
   ns root, nil;
   int filled = 0;
   void init(int n_) {
      n = n_;
      nil = newnode(0, 0, T());
      nil -> l = nil;
      nil -> r = nil;
      root = nil;
      root = walk([&](T& inner, int cl, int cr) {
         if(cl != cr) return 1;
         inner = T();
         return 0;
      });
   }
   
   ns newnode(ns L, ns R, T val) {
      mem[cnt++] = (Node{L, R, val});
      return mem + cnt - 1;
   }
   ns newnode() {
      return newnode(nil, nil, T());
   }
   
   template<class CB> ns walk(CB&& cb) { filled ++; return root = walk(cb, 1, n); }
   template<class CB> ns walk(CB&& cb, int l, int r) { return root = walk(cb, l, r, root, 1, n); }
   template<class CB> ns walk(CB&& cb, int l, int r, ns node, int cl, int cr) { 
      if(r < cl || cr < l) return node;
      auto a = node -> inner;
      if(l <= cl && cr <= r && !cb(node -> inner, cl, cr)) { auto rv = newnode(node -> l, node -> r, node -> inner); node -> inner = a;  return rv; }
      int mid = (cl + cr) >> 1;
      auto herenow = newnode();
      herenow -> l = walk(cb, l, r, node -> l, cl, mid);
      herenow -> r = walk(cb, l, r, node -> r, mid + 1, cr);
      //cerr << cl << ' ' << cr << "\t" << herenow -> inner.val << '\t' << herenow -> l -> inner.val << '\t' << herenow -> r -> inner.val << '\n';
      herenow -> inner.pull(herenow -> l -> inner, herenow -> r -> inner);
      return herenow;
   }
   
   
   template<class CB> void const_walk(CB&& cb, ns start) const { return const_walk(cb, start, 1, n); }
   template<class CB> void const_walk(CB&& cb, ns start, int l, int r) const { return const_walk(cb, l, r, start, 1, n); }
   template<class CB> void const_walk(CB&& cb, int l, int r, ns node, int cl, int cr) const { 
      if(r < cl || cr < l) return;
      if(l <= cl && cr <= r && !cb(node -> inner, cl, cr)) return;
      int mid = (cl + cr) >> 1;
      const_walk(cb, l, r, node -> l, cl, mid);
      const_walk(cb, l, r, node -> r, mid + 1, cr);
      return;
   }
};
 
struct Sum {
   int val;
   Sum(int a = 0): val(a) {;}
   void pull(const Sum& L, const Sum& R) { val = L.val + R.val; }
};
 
struct mnidx {
   int val;
   mnidx(int a = 0): val(a) {;}
   void pull(const mnidx& L, const mnidx& R) { val = v[L.val] < v[R.val]? L.val : R.val; }
};
 
struct mxval {
   int val;
   mxval(int a = 0): val(a) {;}
   void pull(const mxval& L, const mxval& R) { val = max(L.val, R.val); }
};
 
map<int, AINT<Sum>::ns> sumroot;
map<int, AINT<mnidx>::ns> raiseroot, fallroot;
 
AINT<Sum> sum_aint;
AINT<mnidx> dir_aint;
AINT<mxval> max_aint;
 
void init(signed N, std::vector<signed> H) {
   //cerr << N << ' ' << sz(H) << '\n';
   v[0] = 1e9 + 2;
   for(int i = 0; i < N; i++) v[i + 1] = H[i]; 
   initglobals(0, N - 1);
   max_aint.init(N);
   max_aint.walk([&](auto &a, int cl, int cr) { if(cl != cr) return 1; a.val = v[cl]; return 0; });
   
 
   vector<int> idx(N); iota(all(idx), 1);
   sum_aint.init(N);
   sort(all(idx), [&](int a, int b) { return timeout[a] > timeout[b]; });
   for(auto x : idx)
      sumroot[timeout[x]] = sum_aint.walk([&](auto& a, int cl, int cr) { a.val = 1; return 0;}, x, x);
      //cerr << timeout[x] << '\t' << sum_aint.root -> inner.val << '\n';
      
   dir_aint.init(N);
   sort(all(idx), [&](int a, int b) { return dir[a] < dir[b]; });
   raiseroot[0] = dir_aint.root;
   for(auto x : idx) 
      raiseroot[dir[x]] = dir_aint.walk([&](auto& a, int cl, int cr) { a.val = cl * (timeout[cl] != 0); return 0; }, x, x); 
   for(int i = 1; i <= N; i++) if(raiseroot.count(i) == 0) raiseroot[i] = raiseroot[i - 1];
   
   dir_aint.init(N);
   sort(all(idx), [&](int a, int b) { return dir[a] > dir[b]; });
   fallroot[N + 1] = dir_aint.root;
   for(auto x : idx) 
      fallroot[dir[x]] = dir_aint.walk([&](auto& a, int cl, int cr) { a.val = cl * (timeout[cl] != 0); return 0; }, x, x); 
   for(int i = N; i > 0; i--) if(fallroot.count(i) == 0) fallroot[i] = fallroot[i + 1];
   
   
   return;
}
 
int query_max(int l, int r) { 
   int mx = 0;
   max_aint.const_walk([&](auto& a, int cl, int cr) { mx = max(mx, a.val); return 0;}, max_aint.root, l, r);
   return mx;
}
 
signed max_towers(signed L, signed R, signed D) {
   ++L, ++R;
   //cerr << L << ' ' << R << '\n';
   if(sumroot.lower_bound(D) == sumroot.end()) {
      int mx = query_max(L, R);
      return mx - max(v[L], v[R]) >= D? 2 : 1;
      
   }
   auto forsum = sumroot.lower_bound(D) -> second;
   
   int alltogether = 0;
   sum_aint.const_walk([&](auto a, int cl, int cr) { alltogether += a.val; return 0; }, forsum, L, R);
   if(alltogether == 0) {
      
      int mnL = L;
      dir_aint.const_walk([&](mnidx& a, int cl, int cr) { if(v[mnL] > v[a.val]) mnL = a.val; return 0;}, raiseroot[L - 1], L , R);
      int mnR = R;
      dir_aint.const_walk([&](mnidx& a, int cl, int cr) { if(v[mnR] > v[a.val]) mnR = a.val; return 0;}, fallroot[R + 1], L , R);
      if(mnL > mnR) return 1;
      
      return query_max(mnL, mnR) - max(v[mnL], v[mnR]) >= D? 2 : 1;
   }
   
   
   int l = L, r;
   sum_aint.const_walk([&](auto &a, int cl, int cr) { 
      if(l < cl) return 0; 
      if(a.val == 0) { l = cr + 1; return 0; } 
      if(cl == cr) { l = cl; return 0; } 
      return 1; }, forsum, L, R);
   
   int rez = alltogether;
   
   if(L < l) {
      int mn = L;
      dir_aint.const_walk([&](mnidx& a, int cl, int cr) { if(v[mn] > v[a.val]) mn = a.val; return 0;}, raiseroot[L - 1], L + 1, l - 1);
      int mx = query_max(mn + 1, l);
      
      if(mx - max(v[l], v[mn]) >= D) rez++;
   }
   int limit = alltogether - 1;
   
   r = L;
   sum_aint.const_walk([&](auto &a, int cl, int cr) { 
      if(r < cl) return 0; 
      if(a.val <= limit) { limit -= a.val; r = cr + 1; return 0; } 
      if(cl == cr) { r = cl; return 0; } 
      return 1; }, forsum, L, R);
   
   if(r < R) {
      int mn = R;
      dir_aint.const_walk([&](mnidx& a, int cl, int cr) { if(v[mn] > v[a.val]) mn = a.val; return 0;}, fallroot[R + 1], r + 1, R - 1);
      int mx = query_max(r + 1, mn - 1);
      if(mx - max(v[r], v[mn]) >= D) rez++;
   }
   
   //cerr << L << ' ' << l << ' ' << r << ' ' << R << '\n';
   
   return rez;
}
#undef int
# Verdict Execution time Memory Grader output
1 Correct 663 ms 517008 KB Output is correct
2 Correct 1297 ms 524688 KB Output is correct
3 Correct 1328 ms 524828 KB Output is correct
4 Correct 1397 ms 524876 KB Output is correct
5 Correct 1268 ms 524880 KB Output is correct
6 Correct 1303 ms 524880 KB Output is correct
7 Correct 1252 ms 524880 KB Output is correct
8 Correct 170 ms 509276 KB Output is correct
9 Correct 176 ms 509556 KB Output is correct
10 Correct 165 ms 509520 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 165 ms 509444 KB Output is correct
2 Correct 173 ms 509776 KB Output is correct
3 Correct 165 ms 509776 KB Output is correct
4 Correct 165 ms 509776 KB Output is correct
5 Correct 169 ms 509736 KB Output is correct
6 Correct 192 ms 509912 KB Output is correct
7 Correct 164 ms 509776 KB Output is correct
8 Correct 171 ms 509540 KB Output is correct
9 Correct 150 ms 509512 KB Output is correct
10 Correct 189 ms 509520 KB Output is correct
11 Correct 167 ms 509520 KB Output is correct
12 Correct 163 ms 509264 KB Output is correct
13 Correct 162 ms 509520 KB Output is correct
14 Correct 190 ms 509524 KB Output is correct
15 Correct 164 ms 509776 KB Output is correct
16 Correct 163 ms 509776 KB Output is correct
17 Correct 169 ms 509776 KB Output is correct
18 Correct 161 ms 509516 KB Output is correct
19 Correct 173 ms 509608 KB Output is correct
20 Correct 178 ms 509796 KB Output is correct
21 Correct 170 ms 509652 KB Output is correct
22 Correct 173 ms 509752 KB Output is correct
23 Correct 164 ms 509520 KB Output is correct
24 Correct 166 ms 509520 KB Output is correct
25 Correct 163 ms 509520 KB Output is correct
26 Correct 165 ms 509692 KB Output is correct
27 Correct 171 ms 509648 KB Output is correct
28 Correct 167 ms 509776 KB Output is correct
29 Correct 164 ms 509776 KB Output is correct
30 Correct 174 ms 509776 KB Output is correct
31 Correct 167 ms 509808 KB Output is correct
32 Correct 174 ms 509520 KB Output is correct
33 Correct 167 ms 509520 KB Output is correct
34 Correct 177 ms 509648 KB Output is correct
35 Correct 161 ms 509552 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 165 ms 509444 KB Output is correct
2 Correct 173 ms 509776 KB Output is correct
3 Correct 165 ms 509776 KB Output is correct
4 Correct 165 ms 509776 KB Output is correct
5 Correct 169 ms 509736 KB Output is correct
6 Correct 192 ms 509912 KB Output is correct
7 Correct 164 ms 509776 KB Output is correct
8 Correct 171 ms 509540 KB Output is correct
9 Correct 150 ms 509512 KB Output is correct
10 Correct 189 ms 509520 KB Output is correct
11 Correct 167 ms 509520 KB Output is correct
12 Correct 163 ms 509264 KB Output is correct
13 Correct 162 ms 509520 KB Output is correct
14 Correct 190 ms 509524 KB Output is correct
15 Correct 164 ms 509776 KB Output is correct
16 Correct 163 ms 509776 KB Output is correct
17 Correct 169 ms 509776 KB Output is correct
18 Correct 161 ms 509516 KB Output is correct
19 Correct 173 ms 509608 KB Output is correct
20 Correct 178 ms 509796 KB Output is correct
21 Correct 170 ms 509652 KB Output is correct
22 Correct 173 ms 509752 KB Output is correct
23 Correct 164 ms 509520 KB Output is correct
24 Correct 166 ms 509520 KB Output is correct
25 Correct 163 ms 509520 KB Output is correct
26 Correct 165 ms 509692 KB Output is correct
27 Correct 171 ms 509648 KB Output is correct
28 Correct 167 ms 509776 KB Output is correct
29 Correct 164 ms 509776 KB Output is correct
30 Correct 174 ms 509776 KB Output is correct
31 Correct 167 ms 509808 KB Output is correct
32 Correct 174 ms 509520 KB Output is correct
33 Correct 167 ms 509520 KB Output is correct
34 Correct 177 ms 509648 KB Output is correct
35 Correct 161 ms 509552 KB Output is correct
36 Correct 292 ms 521140 KB Output is correct
37 Correct 331 ms 527808 KB Output is correct
38 Correct 375 ms 527608 KB Output is correct
39 Correct 396 ms 529212 KB Output is correct
40 Correct 426 ms 529216 KB Output is correct
41 Correct 401 ms 529212 KB Output is correct
42 Correct 396 ms 529212 KB Output is correct
43 Correct 292 ms 524880 KB Output is correct
44 Correct 280 ms 524916 KB Output is correct
45 Correct 262 ms 524700 KB Output is correct
46 Correct 286 ms 524696 KB Output is correct
47 Correct 413 ms 527556 KB Output is correct
48 Correct 404 ms 529112 KB Output is correct
49 Correct 382 ms 529212 KB Output is correct
50 Correct 275 ms 524880 KB Output is correct
51 Correct 273 ms 524692 KB Output is correct
52 Correct 353 ms 527612 KB Output is correct
53 Correct 391 ms 529116 KB Output is correct
54 Correct 394 ms 529216 KB Output is correct
55 Correct 278 ms 524844 KB Output is correct
56 Correct 300 ms 524676 KB Output is correct
57 Correct 362 ms 527056 KB Output is correct
58 Correct 347 ms 527688 KB Output is correct
59 Correct 323 ms 527548 KB Output is correct
60 Correct 433 ms 529220 KB Output is correct
61 Correct 478 ms 529016 KB Output is correct
62 Correct 406 ms 529108 KB Output is correct
63 Correct 385 ms 529032 KB Output is correct
64 Correct 283 ms 524880 KB Output is correct
65 Correct 282 ms 524880 KB Output is correct
66 Correct 291 ms 524844 KB Output is correct
67 Correct 321 ms 524876 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1102 ms 527604 KB Output is correct
2 Correct 1324 ms 527556 KB Output is correct
3 Correct 1311 ms 527552 KB Output is correct
4 Correct 1367 ms 529212 KB Output is correct
5 Correct 1407 ms 529188 KB Output is correct
6 Correct 1334 ms 529212 KB Output is correct
7 Correct 1368 ms 529212 KB Output is correct
8 Correct 1241 ms 524880 KB Output is correct
9 Correct 1170 ms 524892 KB Output is correct
10 Correct 1187 ms 524828 KB Output is correct
11 Correct 1163 ms 524880 KB Output is correct
12 Correct 1163 ms 524836 KB Output is correct
13 Correct 1240 ms 524880 KB Output is correct
14 Correct 147 ms 509264 KB Output is correct
15 Correct 204 ms 509520 KB Output is correct
16 Correct 164 ms 509520 KB Output is correct
17 Correct 319 ms 527600 KB Output is correct
18 Correct 452 ms 529168 KB Output is correct
19 Correct 446 ms 529216 KB Output is correct
20 Correct 331 ms 524696 KB Output is correct
21 Correct 281 ms 524880 KB Output is correct
22 Correct 383 ms 527548 KB Output is correct
23 Correct 416 ms 529184 KB Output is correct
24 Correct 437 ms 529192 KB Output is correct
25 Correct 301 ms 524796 KB Output is correct
26 Correct 291 ms 524744 KB Output is correct
27 Correct 180 ms 509652 KB Output is correct
28 Correct 167 ms 509780 KB Output is correct
29 Correct 182 ms 509644 KB Output is correct
30 Correct 184 ms 509524 KB Output is correct
31 Correct 163 ms 509584 KB Output is correct
32 Correct 204 ms 509680 KB Output is correct
33 Correct 185 ms 509608 KB Output is correct
34 Correct 184 ms 509612 KB Output is correct
35 Correct 164 ms 509520 KB Output is correct
36 Correct 166 ms 509668 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 428 ms 513604 KB Output is correct
2 Correct 1083 ms 527792 KB Output is correct
3 Correct 1099 ms 527748 KB Output is correct
4 Correct 1171 ms 529036 KB Output is correct
5 Correct 1219 ms 528976 KB Output is correct
6 Correct 1235 ms 529216 KB Output is correct
7 Correct 1152 ms 529232 KB Output is correct
8 Correct 883 ms 524880 KB Output is correct
9 Correct 955 ms 524676 KB Output is correct
10 Correct 1002 ms 524880 KB Output is correct
11 Correct 1004 ms 524880 KB Output is correct
12 Correct 335 ms 527548 KB Output is correct
13 Correct 382 ms 529216 KB Output is correct
14 Correct 356 ms 529216 KB Output is correct
15 Correct 248 ms 524876 KB Output is correct
16 Correct 254 ms 524880 KB Output is correct
17 Correct 337 ms 527056 KB Output is correct
18 Correct 322 ms 527580 KB Output is correct
19 Correct 358 ms 527588 KB Output is correct
20 Correct 366 ms 529216 KB Output is correct
21 Correct 365 ms 529212 KB Output is correct
22 Correct 332 ms 529192 KB Output is correct
23 Correct 376 ms 529212 KB Output is correct
24 Correct 273 ms 524824 KB Output is correct
25 Correct 258 ms 524840 KB Output is correct
26 Correct 280 ms 524880 KB Output is correct
27 Correct 274 ms 524880 KB Output is correct
28 Correct 153 ms 509776 KB Output is correct
29 Correct 159 ms 509648 KB Output is correct
30 Correct 139 ms 509776 KB Output is correct
31 Correct 133 ms 509520 KB Output is correct
32 Correct 142 ms 509520 KB Output is correct
33 Correct 139 ms 509420 KB Output is correct
34 Correct 140 ms 509776 KB Output is correct
35 Correct 135 ms 509652 KB Output is correct
36 Correct 132 ms 509808 KB Output is correct
37 Correct 173 ms 509700 KB Output is correct
38 Correct 134 ms 509828 KB Output is correct
39 Correct 134 ms 509736 KB Output is correct
40 Correct 140 ms 509704 KB Output is correct
41 Correct 146 ms 509520 KB Output is correct
42 Correct 135 ms 509520 KB Output is correct
43 Correct 133 ms 509520 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 165 ms 509444 KB Output is correct
2 Correct 173 ms 509776 KB Output is correct
3 Correct 165 ms 509776 KB Output is correct
4 Correct 165 ms 509776 KB Output is correct
5 Correct 169 ms 509736 KB Output is correct
6 Correct 192 ms 509912 KB Output is correct
7 Correct 164 ms 509776 KB Output is correct
8 Correct 171 ms 509540 KB Output is correct
9 Correct 150 ms 509512 KB Output is correct
10 Correct 189 ms 509520 KB Output is correct
11 Correct 167 ms 509520 KB Output is correct
12 Correct 163 ms 509264 KB Output is correct
13 Correct 162 ms 509520 KB Output is correct
14 Correct 190 ms 509524 KB Output is correct
15 Correct 164 ms 509776 KB Output is correct
16 Correct 163 ms 509776 KB Output is correct
17 Correct 169 ms 509776 KB Output is correct
18 Correct 161 ms 509516 KB Output is correct
19 Correct 173 ms 509608 KB Output is correct
20 Correct 178 ms 509796 KB Output is correct
21 Correct 170 ms 509652 KB Output is correct
22 Correct 173 ms 509752 KB Output is correct
23 Correct 164 ms 509520 KB Output is correct
24 Correct 166 ms 509520 KB Output is correct
25 Correct 163 ms 509520 KB Output is correct
26 Correct 165 ms 509692 KB Output is correct
27 Correct 171 ms 509648 KB Output is correct
28 Correct 167 ms 509776 KB Output is correct
29 Correct 164 ms 509776 KB Output is correct
30 Correct 174 ms 509776 KB Output is correct
31 Correct 167 ms 509808 KB Output is correct
32 Correct 174 ms 509520 KB Output is correct
33 Correct 167 ms 509520 KB Output is correct
34 Correct 177 ms 509648 KB Output is correct
35 Correct 161 ms 509552 KB Output is correct
36 Correct 292 ms 521140 KB Output is correct
37 Correct 331 ms 527808 KB Output is correct
38 Correct 375 ms 527608 KB Output is correct
39 Correct 396 ms 529212 KB Output is correct
40 Correct 426 ms 529216 KB Output is correct
41 Correct 401 ms 529212 KB Output is correct
42 Correct 396 ms 529212 KB Output is correct
43 Correct 292 ms 524880 KB Output is correct
44 Correct 280 ms 524916 KB Output is correct
45 Correct 262 ms 524700 KB Output is correct
46 Correct 286 ms 524696 KB Output is correct
47 Correct 413 ms 527556 KB Output is correct
48 Correct 404 ms 529112 KB Output is correct
49 Correct 382 ms 529212 KB Output is correct
50 Correct 275 ms 524880 KB Output is correct
51 Correct 273 ms 524692 KB Output is correct
52 Correct 353 ms 527612 KB Output is correct
53 Correct 391 ms 529116 KB Output is correct
54 Correct 394 ms 529216 KB Output is correct
55 Correct 278 ms 524844 KB Output is correct
56 Correct 300 ms 524676 KB Output is correct
57 Correct 362 ms 527056 KB Output is correct
58 Correct 347 ms 527688 KB Output is correct
59 Correct 323 ms 527548 KB Output is correct
60 Correct 433 ms 529220 KB Output is correct
61 Correct 478 ms 529016 KB Output is correct
62 Correct 406 ms 529108 KB Output is correct
63 Correct 385 ms 529032 KB Output is correct
64 Correct 283 ms 524880 KB Output is correct
65 Correct 282 ms 524880 KB Output is correct
66 Correct 291 ms 524844 KB Output is correct
67 Correct 321 ms 524876 KB Output is correct
68 Correct 1102 ms 527604 KB Output is correct
69 Correct 1324 ms 527556 KB Output is correct
70 Correct 1311 ms 527552 KB Output is correct
71 Correct 1367 ms 529212 KB Output is correct
72 Correct 1407 ms 529188 KB Output is correct
73 Correct 1334 ms 529212 KB Output is correct
74 Correct 1368 ms 529212 KB Output is correct
75 Correct 1241 ms 524880 KB Output is correct
76 Correct 1170 ms 524892 KB Output is correct
77 Correct 1187 ms 524828 KB Output is correct
78 Correct 1163 ms 524880 KB Output is correct
79 Correct 1163 ms 524836 KB Output is correct
80 Correct 1240 ms 524880 KB Output is correct
81 Correct 147 ms 509264 KB Output is correct
82 Correct 204 ms 509520 KB Output is correct
83 Correct 164 ms 509520 KB Output is correct
84 Correct 319 ms 527600 KB Output is correct
85 Correct 452 ms 529168 KB Output is correct
86 Correct 446 ms 529216 KB Output is correct
87 Correct 331 ms 524696 KB Output is correct
88 Correct 281 ms 524880 KB Output is correct
89 Correct 383 ms 527548 KB Output is correct
90 Correct 416 ms 529184 KB Output is correct
91 Correct 437 ms 529192 KB Output is correct
92 Correct 301 ms 524796 KB Output is correct
93 Correct 291 ms 524744 KB Output is correct
94 Correct 180 ms 509652 KB Output is correct
95 Correct 167 ms 509780 KB Output is correct
96 Correct 182 ms 509644 KB Output is correct
97 Correct 184 ms 509524 KB Output is correct
98 Correct 163 ms 509584 KB Output is correct
99 Correct 204 ms 509680 KB Output is correct
100 Correct 185 ms 509608 KB Output is correct
101 Correct 184 ms 509612 KB Output is correct
102 Correct 164 ms 509520 KB Output is correct
103 Correct 166 ms 509668 KB Output is correct
104 Correct 1065 ms 525540 KB Output is correct
105 Correct 1352 ms 527744 KB Output is correct
106 Correct 1386 ms 527572 KB Output is correct
107 Correct 1361 ms 529052 KB Output is correct
108 Correct 1465 ms 529212 KB Output is correct
109 Correct 1266 ms 529216 KB Output is correct
110 Correct 1258 ms 529068 KB Output is correct
111 Correct 1236 ms 524848 KB Output is correct
112 Correct 1263 ms 524828 KB Output is correct
113 Correct 1317 ms 524880 KB Output is correct
114 Correct 1283 ms 524828 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 663 ms 517008 KB Output is correct
2 Correct 1297 ms 524688 KB Output is correct
3 Correct 1328 ms 524828 KB Output is correct
4 Correct 1397 ms 524876 KB Output is correct
5 Correct 1268 ms 524880 KB Output is correct
6 Correct 1303 ms 524880 KB Output is correct
7 Correct 1252 ms 524880 KB Output is correct
8 Correct 170 ms 509276 KB Output is correct
9 Correct 176 ms 509556 KB Output is correct
10 Correct 165 ms 509520 KB Output is correct
11 Correct 165 ms 509444 KB Output is correct
12 Correct 173 ms 509776 KB Output is correct
13 Correct 165 ms 509776 KB Output is correct
14 Correct 165 ms 509776 KB Output is correct
15 Correct 169 ms 509736 KB Output is correct
16 Correct 192 ms 509912 KB Output is correct
17 Correct 164 ms 509776 KB Output is correct
18 Correct 171 ms 509540 KB Output is correct
19 Correct 150 ms 509512 KB Output is correct
20 Correct 189 ms 509520 KB Output is correct
21 Correct 167 ms 509520 KB Output is correct
22 Correct 163 ms 509264 KB Output is correct
23 Correct 162 ms 509520 KB Output is correct
24 Correct 190 ms 509524 KB Output is correct
25 Correct 164 ms 509776 KB Output is correct
26 Correct 163 ms 509776 KB Output is correct
27 Correct 169 ms 509776 KB Output is correct
28 Correct 161 ms 509516 KB Output is correct
29 Correct 173 ms 509608 KB Output is correct
30 Correct 178 ms 509796 KB Output is correct
31 Correct 170 ms 509652 KB Output is correct
32 Correct 173 ms 509752 KB Output is correct
33 Correct 164 ms 509520 KB Output is correct
34 Correct 166 ms 509520 KB Output is correct
35 Correct 163 ms 509520 KB Output is correct
36 Correct 165 ms 509692 KB Output is correct
37 Correct 171 ms 509648 KB Output is correct
38 Correct 167 ms 509776 KB Output is correct
39 Correct 164 ms 509776 KB Output is correct
40 Correct 174 ms 509776 KB Output is correct
41 Correct 167 ms 509808 KB Output is correct
42 Correct 174 ms 509520 KB Output is correct
43 Correct 167 ms 509520 KB Output is correct
44 Correct 177 ms 509648 KB Output is correct
45 Correct 161 ms 509552 KB Output is correct
46 Correct 292 ms 521140 KB Output is correct
47 Correct 331 ms 527808 KB Output is correct
48 Correct 375 ms 527608 KB Output is correct
49 Correct 396 ms 529212 KB Output is correct
50 Correct 426 ms 529216 KB Output is correct
51 Correct 401 ms 529212 KB Output is correct
52 Correct 396 ms 529212 KB Output is correct
53 Correct 292 ms 524880 KB Output is correct
54 Correct 280 ms 524916 KB Output is correct
55 Correct 262 ms 524700 KB Output is correct
56 Correct 286 ms 524696 KB Output is correct
57 Correct 413 ms 527556 KB Output is correct
58 Correct 404 ms 529112 KB Output is correct
59 Correct 382 ms 529212 KB Output is correct
60 Correct 275 ms 524880 KB Output is correct
61 Correct 273 ms 524692 KB Output is correct
62 Correct 353 ms 527612 KB Output is correct
63 Correct 391 ms 529116 KB Output is correct
64 Correct 394 ms 529216 KB Output is correct
65 Correct 278 ms 524844 KB Output is correct
66 Correct 300 ms 524676 KB Output is correct
67 Correct 362 ms 527056 KB Output is correct
68 Correct 347 ms 527688 KB Output is correct
69 Correct 323 ms 527548 KB Output is correct
70 Correct 433 ms 529220 KB Output is correct
71 Correct 478 ms 529016 KB Output is correct
72 Correct 406 ms 529108 KB Output is correct
73 Correct 385 ms 529032 KB Output is correct
74 Correct 283 ms 524880 KB Output is correct
75 Correct 282 ms 524880 KB Output is correct
76 Correct 291 ms 524844 KB Output is correct
77 Correct 321 ms 524876 KB Output is correct
78 Correct 1102 ms 527604 KB Output is correct
79 Correct 1324 ms 527556 KB Output is correct
80 Correct 1311 ms 527552 KB Output is correct
81 Correct 1367 ms 529212 KB Output is correct
82 Correct 1407 ms 529188 KB Output is correct
83 Correct 1334 ms 529212 KB Output is correct
84 Correct 1368 ms 529212 KB Output is correct
85 Correct 1241 ms 524880 KB Output is correct
86 Correct 1170 ms 524892 KB Output is correct
87 Correct 1187 ms 524828 KB Output is correct
88 Correct 1163 ms 524880 KB Output is correct
89 Correct 1163 ms 524836 KB Output is correct
90 Correct 1240 ms 524880 KB Output is correct
91 Correct 147 ms 509264 KB Output is correct
92 Correct 204 ms 509520 KB Output is correct
93 Correct 164 ms 509520 KB Output is correct
94 Correct 319 ms 527600 KB Output is correct
95 Correct 452 ms 529168 KB Output is correct
96 Correct 446 ms 529216 KB Output is correct
97 Correct 331 ms 524696 KB Output is correct
98 Correct 281 ms 524880 KB Output is correct
99 Correct 383 ms 527548 KB Output is correct
100 Correct 416 ms 529184 KB Output is correct
101 Correct 437 ms 529192 KB Output is correct
102 Correct 301 ms 524796 KB Output is correct
103 Correct 291 ms 524744 KB Output is correct
104 Correct 180 ms 509652 KB Output is correct
105 Correct 167 ms 509780 KB Output is correct
106 Correct 182 ms 509644 KB Output is correct
107 Correct 184 ms 509524 KB Output is correct
108 Correct 163 ms 509584 KB Output is correct
109 Correct 204 ms 509680 KB Output is correct
110 Correct 185 ms 509608 KB Output is correct
111 Correct 184 ms 509612 KB Output is correct
112 Correct 164 ms 509520 KB Output is correct
113 Correct 166 ms 509668 KB Output is correct
114 Correct 428 ms 513604 KB Output is correct
115 Correct 1083 ms 527792 KB Output is correct
116 Correct 1099 ms 527748 KB Output is correct
117 Correct 1171 ms 529036 KB Output is correct
118 Correct 1219 ms 528976 KB Output is correct
119 Correct 1235 ms 529216 KB Output is correct
120 Correct 1152 ms 529232 KB Output is correct
121 Correct 883 ms 524880 KB Output is correct
122 Correct 955 ms 524676 KB Output is correct
123 Correct 1002 ms 524880 KB Output is correct
124 Correct 1004 ms 524880 KB Output is correct
125 Correct 335 ms 527548 KB Output is correct
126 Correct 382 ms 529216 KB Output is correct
127 Correct 356 ms 529216 KB Output is correct
128 Correct 248 ms 524876 KB Output is correct
129 Correct 254 ms 524880 KB Output is correct
130 Correct 337 ms 527056 KB Output is correct
131 Correct 322 ms 527580 KB Output is correct
132 Correct 358 ms 527588 KB Output is correct
133 Correct 366 ms 529216 KB Output is correct
134 Correct 365 ms 529212 KB Output is correct
135 Correct 332 ms 529192 KB Output is correct
136 Correct 376 ms 529212 KB Output is correct
137 Correct 273 ms 524824 KB Output is correct
138 Correct 258 ms 524840 KB Output is correct
139 Correct 280 ms 524880 KB Output is correct
140 Correct 274 ms 524880 KB Output is correct
141 Correct 153 ms 509776 KB Output is correct
142 Correct 159 ms 509648 KB Output is correct
143 Correct 139 ms 509776 KB Output is correct
144 Correct 133 ms 509520 KB Output is correct
145 Correct 142 ms 509520 KB Output is correct
146 Correct 139 ms 509420 KB Output is correct
147 Correct 140 ms 509776 KB Output is correct
148 Correct 135 ms 509652 KB Output is correct
149 Correct 132 ms 509808 KB Output is correct
150 Correct 173 ms 509700 KB Output is correct
151 Correct 134 ms 509828 KB Output is correct
152 Correct 134 ms 509736 KB Output is correct
153 Correct 140 ms 509704 KB Output is correct
154 Correct 146 ms 509520 KB Output is correct
155 Correct 135 ms 509520 KB Output is correct
156 Correct 133 ms 509520 KB Output is correct
157 Correct 1065 ms 525540 KB Output is correct
158 Correct 1352 ms 527744 KB Output is correct
159 Correct 1386 ms 527572 KB Output is correct
160 Correct 1361 ms 529052 KB Output is correct
161 Correct 1465 ms 529212 KB Output is correct
162 Correct 1266 ms 529216 KB Output is correct
163 Correct 1258 ms 529068 KB Output is correct
164 Correct 1236 ms 524848 KB Output is correct
165 Correct 1263 ms 524828 KB Output is correct
166 Correct 1317 ms 524880 KB Output is correct
167 Correct 1283 ms 524828 KB Output is correct
168 Correct 147 ms 509264 KB Output is correct
169 Correct 786 ms 515572 KB Output is correct
170 Correct 1511 ms 527552 KB Output is correct
171 Correct 1545 ms 527556 KB Output is correct
172 Correct 1601 ms 529052 KB Output is correct
173 Correct 1478 ms 529024 KB Output is correct
174 Correct 1462 ms 529128 KB Output is correct
175 Correct 1527 ms 529216 KB Output is correct
176 Correct 1227 ms 524876 KB Output is correct
177 Correct 1176 ms 524876 KB Output is correct
178 Correct 1259 ms 524880 KB Output is correct
179 Correct 1337 ms 524788 KB Output is correct