Submission #882973

# Submission time Handle Problem Language Result Execution time Memory
882973 2023-12-04T09:50:14 Z MilosMilutinovic Wild Boar (JOI18_wild_boar) C++14
62 / 100
18000 ms 1003188 KB
#include <bits/stdc++.h>
 
using namespace std;
 
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m, t, l;
  cin >> n >> m >> t >> l;
  vector<vector<pair<int, int>>> g(n);
  for (int i = 0; i < m; i++) {
    int x, y, z;
    cin >> x >> y >> z;
    --x; --y;
    g[x].emplace_back(y, z);
    g[y].emplace_back(x, z);
  }
  vector<int> seq(l);
  for (int i = 0; i < l; i++) {
    cin >> seq[i];
    --seq[i];
  }
  vector<int> deg(n);
  for (int i = 0; i < n; i++) {
    deg[i] = (int) g[i].size();
  }
  vector<vector<int>> idx(n, vector<int>(n));
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < deg[i]; j++) {
      idx[i][g[i][j].first] = j;
    }
  }
  const long long inf = (long long) 1e18;
  vector<vector<vector<vector<long long>>>> dist(n, vector<vector<vector<long long>>>(n));
  for (int i = 0; i < n; i++) {
    for (int j = i + 1; j < n; j++) {
      if (i == j) {
        continue;
      }
      dist[i][j].resize(deg[i]);
      for (int k = 0; k < deg[i]; k++) {
        dist[i][j][k] = vector<long long>(deg[j], inf);
      }
    }
  }
  vector<vector<long long>> d(n);
  for (int i = 0; i < n; i++) {
    d[i].resize(deg[i]);
  }
  vector<int> ia(n), ib(n);
  set<tuple<long long, int, int>> que;
  for (int ver = 0; ver < n; ver++) {
    for (int e = 0; e < deg[ver]; e++) {
      for (int i = 0; i < n; i++) {
        for (int j = 0; j < deg[i]; j++) {
          d[i][j] = inf;
        }
        ia[i] = -1;
        ib[i] = -1;
      }
      int to = g[ver][e].first;
      int w = g[ver][e].second;
      d[to][idx[to][ver]] = w;
      que.clear();
      que.emplace(d[to][idx[to][ver]], to, idx[to][ver]);
      ia[to] = idx[to][ver];
      auto Update = [&](int x, int y, long long z) {
        if (ia[x] == y || ib[x] == y) {
          que.erase(que.find({d[x][y], x, y}));
        }
        d[x][y] = z;
        if (ia[x] == y) {
          return;
        }
        if (ib[x] == y) {
          if (d[x][y] < d[x][ia[x]]) {
            swap(ia[x], ib[x]);
          }
          return;
        }
        if (ia[x] == -1) {
          ia[x] = y;
          que.emplace(d[x][y], x, y);
          return;
        }
        if (ib[x] == -1) {
          if (d[x][y] < d[x][ia[x]]) {
            swap(ia[x], ib[x]);
            ia[x] = y;
          } else {
            ib[x] = y;
          }
          que.emplace(d[x][y], x, y);
          return;
        }
        if (d[x][y] >= d[x][ia[x]] && d[x][y] < d[x][ib[x]]) {
          que.erase(que.find({d[x][ib[x]], x, ib[x]}));
          ib[x] = y;
          que.emplace(d[x][y], x, y);
          return;
        }
        if (d[x][y] < d[x][ia[x]]) {
          que.erase(que.find({d[x][ib[x]], x, ib[x]}));
          swap(ia[x], ib[x]);
          ia[x] = y;
          que.emplace(d[x][y], x, y);
        }
      };
      while (!que.empty()) {
        auto it = que.begin();
        int v = get<1>(*it);
        int lst = get<2>(*it);
        que.erase(it);
        for (int i = 0; i < deg[v]; i++) {
          if (i == lst) {
            continue;
          }
          int to = g[v][i].first;
          int w = g[v][i].second;
          if (d[to][idx[to][v]] > d[v][lst] + w) {
            Update(to, idx[to][v], d[v][lst] + w);
            assert((int) que.size() <= 2 * n);
          }
        }
      }
      for (int i = ver + 1; i < n; i++) {
        if (i == ver) {
          continue;
        }
        for (int j = 0; j < deg[i]; j++) {
          dist[ver][i][e][j] = d[i][j];
        }
      }
    }
  }
  vector<vector<vector<vector<int>>>> good(n, vector<vector<vector<int>>>(n, vector<vector<int>>(2)));
  vector<vector<int>> cc(n, vector<int>(2));
  for (int from = 0; from < n; from++) {
    for (int to = 0; to < n; to++) {
      if (from == to) {
        continue;
      }
      vector<pair<int, int>> order;
      for (int i = 0; i < deg[from]; i++) {
        for (int j = 0; j < deg[to]; j++) {
          order.emplace_back(i, j);
        }
      }
      if (from <= to) {
        sort(order.begin(), order.end(), [&](pair<int, int> a, pair<int, int> b) {
          return dist[from][to][a.first][a.second] < dist[from][to][b.first][b.second];
        });
      } else {
        sort(order.begin(), order.end(), [&](pair<int, int> a, pair<int, int> b) {
          return dist[to][from][a.second][a.first] < dist[to][from][b.second][b.first];
        });
      }
      int total = 0;
      for (auto& p : order) {
        if (cc[p.first][0] >= 2 || cc[p.second][1] >= 2) {
          continue;
        }
        good[from][to][0].push_back(p.first);
        good[from][to][1].push_back(p.second);
        cc[p.first][0] += 1;
        cc[p.second][1] += 1;
        total += 1;
        if (total >= 5) {
          break;
        }
      }
      for (int i = 0; i < deg[from]; i++) {
        cc[i][0] = 0;
      }
      for (int i = 0; i < deg[to]; i++) {
        cc[i][1] = 0;
      }
    }
  }
  vector<vector<int>> f(l);
  for (int i = 0; i < l; i++) {
    if (i > 0) {
      for (int j : good[seq[i - 1]][seq[i]][1]) {
        f[i].push_back(j);
      }
    }
    if (i + 1 < l) {
      for (int j : good[seq[i]][seq[i + 1]][0]) {
        f[i].push_back(j);
      }
    }
    sort(f[i].begin(), f[i].end());
    f[i].erase(unique(f[i].begin(), f[i].end()), f[i].end());
  }
  auto Update = [&](int i) {
    f[i].clear();
    if (i > 0) {
      for (int j : good[seq[i - 1]][seq[i]][1]) {
        f[i].push_back(j);
      }
    }
    if (i + 1 < l) {
      for (int j : good[seq[i]][seq[i + 1]][0]) {
        f[i].push_back(j);
      }
    }
    sort(f[i].begin(), f[i].end());
    f[i].erase(unique(f[i].begin(), f[i].end()), f[i].end());
  };
  vector<vector<vector<long long>>> st(4 * l);
  auto Pull = [&](int x) {
    st[x].clear();
    for (int ll = 0; ll < (int) st[x * 2].size(); ll++) {
      for (int lr = 0; lr < (int) st[x * 2][ll].size(); lr++) {
        if (st[x].empty()) {
          st[x].resize((int) st[x * 2].size());
        }
        for (int rl = 0; rl < (int) st[x * 2 + 1].size(); rl++) {
          if (st[x][ll].empty()) {
            st[x][ll] = vector<long long>((int) st[x * 2 + 1][rl].size(), inf);
          }
          if (lr == rl) {
            continue;
          }
          for (int rr = 0; rr < (int) st[x * 2 + 1][rl].size(); rr++) {
            st[x][ll][rr] = min(st[x][ll][rr], st[x * 2][ll][lr] + st[x * 2 + 1][rl][rr]);
          }
        }
      }
    }
  };
  function<void(int, int, int)> Build = [&](int x, int l, int r) {
    if (l == r) {
      st[x].resize(f[l].size());
      for (int i = 0; i < f[l].size(); i++) {
        st[x][i] = vector<long long>(f[l + 1].size(), inf);
      }
      for (int i = 0; i < f[l].size(); i++) {
        for (int j = 0; j < f[l + 1].size(); j++) {
          if (seq[l] <= seq[l + 1]) {
            st[x][i][j] = min(st[x][i][j], dist[seq[l]][seq[l + 1]][f[l][i]][f[l + 1][j]]);
          } else {
            st[x][i][j] = min(st[x][i][j], dist[seq[l + 1]][seq[l]][f[l + 1][j]][f[l][i]]);
          }
        }
      }
      return;
    }
    int mid = l + r >> 1;
    Build(x * 2, l, mid);
    Build(x * 2 + 1, mid + 1, r);
    Pull(x);
  };
  function<void(int, int, int, int)> Modify = [&](int x, int l, int r, int p) {
    if (l == r) {
      st[x].clear();
      st[x].resize(f[l].size());
      for (int i = 0; i < f[l].size(); i++) {
        st[x][i] = vector<long long>(f[l + 1].size(), inf);
      }
      for (int i = 0; i < f[l].size(); i++) {
        for (int j = 0; j < f[l + 1].size(); j++) {
          if (seq[l] <= seq[l + 1]) {
            st[x][i][j] = min(st[x][i][j], dist[seq[l]][seq[l + 1]][f[l][i]][f[l + 1][j]]);
          } else {
            st[x][i][j] = min(st[x][i][j], dist[seq[l + 1]][seq[l]][f[l + 1][j]][f[l][i]]);
          }
        }
      }
      return;
    }
    int mid = l + r >> 1;
    if (p <= mid) {
      Modify(x * 2, l, mid, p);
    } else {
      Modify(x * 2 + 1, mid + 1, r, p);
    }
    Pull(x);
  };
  for (int i = 0; i < l; i++) {
    Update(i);
  }
  Build(1, 0, l - 2);
  auto Solve = [&]() {
    long long res = inf;
    for (int i = 0; i < st[1].size(); i++) {
      for (int j = 0; j < st[1][i].size(); j++) {
        res = min(res, st[1][i][j]);
      }
    }
    return (res == inf ? -1LL : res);
  };
  while (t--) {
    int p, x;
    cin >> p >> x;
    --p; --x;
    seq[p] = x;
    Update(p);
    if (p > 0) {
      Update(p - 1);
    }
    if (p + 1 < l) {
      Update(p + 1);
    }
    if (p <= l - 2) {
      Modify(1, 0, l - 2, p);
    }
    if (p + 1 <= l - 2) {
      Modify(1, 0, l - 2, p + 1);
    }
    if (p + 2 <= l - 2) {
      Modify(1, 0, l - 2, p + 2);
    }
    if (p > 0) {
      Modify(1, 0, l - 2, p - 1);
    }
    if (p > 1) {
      Modify(1, 0, l - 2, p - 2);
    }
    cout << Solve() << '\n';
  }
  return 0;
}

Compilation message

wild_boar.cpp: In lambda function:
wild_boar.cpp:235:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  235 |       for (int i = 0; i < f[l].size(); i++) {
      |                       ~~^~~~~~~~~~~~~
wild_boar.cpp:238:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  238 |       for (int i = 0; i < f[l].size(); i++) {
      |                       ~~^~~~~~~~~~~~~
wild_boar.cpp:239:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  239 |         for (int j = 0; j < f[l + 1].size(); j++) {
      |                         ~~^~~~~~~~~~~~~~~~~
wild_boar.cpp:249:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  249 |     int mid = l + r >> 1;
      |               ~~^~~
wild_boar.cpp: In lambda function:
wild_boar.cpp:258:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  258 |       for (int i = 0; i < f[l].size(); i++) {
      |                       ~~^~~~~~~~~~~~~
wild_boar.cpp:261:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  261 |       for (int i = 0; i < f[l].size(); i++) {
      |                       ~~^~~~~~~~~~~~~
wild_boar.cpp:262:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  262 |         for (int j = 0; j < f[l + 1].size(); j++) {
      |                         ~~^~~~~~~~~~~~~~~~~
wild_boar.cpp:272:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  272 |     int mid = l + r >> 1;
      |               ~~^~~
wild_boar.cpp: In lambda function:
wild_boar.cpp:286:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  286 |     for (int i = 0; i < st[1].size(); i++) {
      |                     ~~^~~~~~~~~~~~~~
wild_boar.cpp:287:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  287 |       for (int j = 0; j < st[1][i].size(); j++) {
      |                       ~~^~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 2 ms 604 KB Output is correct
27 Correct 122 ms 40736 KB Output is correct
28 Correct 149 ms 41044 KB Output is correct
29 Correct 301 ms 80760 KB Output is correct
30 Correct 382 ms 107264 KB Output is correct
31 Correct 349 ms 97072 KB Output is correct
32 Correct 331 ms 98172 KB Output is correct
33 Correct 282 ms 70236 KB Output is correct
34 Correct 268 ms 69848 KB Output is correct
35 Correct 341 ms 100412 KB Output is correct
36 Correct 519 ms 137060 KB Output is correct
37 Correct 276 ms 71760 KB Output is correct
38 Correct 278 ms 63872 KB Output is correct
39 Correct 452 ms 126352 KB Output is correct
40 Correct 258 ms 64336 KB Output is correct
41 Correct 253 ms 64624 KB Output is correct
42 Correct 319 ms 100568 KB Output is correct
43 Correct 241 ms 62040 KB Output is correct
44 Correct 260 ms 61892 KB Output is correct
45 Correct 242 ms 64128 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 2 ms 604 KB Output is correct
27 Correct 122 ms 40736 KB Output is correct
28 Correct 149 ms 41044 KB Output is correct
29 Correct 301 ms 80760 KB Output is correct
30 Correct 382 ms 107264 KB Output is correct
31 Correct 349 ms 97072 KB Output is correct
32 Correct 331 ms 98172 KB Output is correct
33 Correct 282 ms 70236 KB Output is correct
34 Correct 268 ms 69848 KB Output is correct
35 Correct 341 ms 100412 KB Output is correct
36 Correct 519 ms 137060 KB Output is correct
37 Correct 276 ms 71760 KB Output is correct
38 Correct 278 ms 63872 KB Output is correct
39 Correct 452 ms 126352 KB Output is correct
40 Correct 258 ms 64336 KB Output is correct
41 Correct 253 ms 64624 KB Output is correct
42 Correct 319 ms 100568 KB Output is correct
43 Correct 241 ms 62040 KB Output is correct
44 Correct 260 ms 61892 KB Output is correct
45 Correct 242 ms 64128 KB Output is correct
46 Correct 178 ms 16176 KB Output is correct
47 Correct 3133 ms 286420 KB Output is correct
48 Correct 3400 ms 387836 KB Output is correct
49 Correct 3795 ms 492376 KB Output is correct
50 Correct 3585 ms 467460 KB Output is correct
51 Correct 3513 ms 433140 KB Output is correct
52 Correct 3588 ms 402160 KB Output is correct
53 Correct 3586 ms 401484 KB Output is correct
54 Correct 3559 ms 401600 KB Output is correct
55 Correct 3604 ms 400348 KB Output is correct
56 Correct 3789 ms 443692 KB Output is correct
57 Correct 3894 ms 492332 KB Output is correct
58 Correct 4051 ms 540028 KB Output is correct
59 Correct 4255 ms 592472 KB Output is correct
60 Correct 4349 ms 647340 KB Output is correct
61 Correct 4529 ms 707132 KB Output is correct
62 Correct 4725 ms 772868 KB Output is correct
63 Correct 4845 ms 841116 KB Output is correct
64 Correct 3266 ms 997992 KB Output is correct
65 Correct 3335 ms 997984 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 2 ms 604 KB Output is correct
27 Correct 122 ms 40736 KB Output is correct
28 Correct 149 ms 41044 KB Output is correct
29 Correct 301 ms 80760 KB Output is correct
30 Correct 382 ms 107264 KB Output is correct
31 Correct 349 ms 97072 KB Output is correct
32 Correct 331 ms 98172 KB Output is correct
33 Correct 282 ms 70236 KB Output is correct
34 Correct 268 ms 69848 KB Output is correct
35 Correct 341 ms 100412 KB Output is correct
36 Correct 519 ms 137060 KB Output is correct
37 Correct 276 ms 71760 KB Output is correct
38 Correct 278 ms 63872 KB Output is correct
39 Correct 452 ms 126352 KB Output is correct
40 Correct 258 ms 64336 KB Output is correct
41 Correct 253 ms 64624 KB Output is correct
42 Correct 319 ms 100568 KB Output is correct
43 Correct 241 ms 62040 KB Output is correct
44 Correct 260 ms 61892 KB Output is correct
45 Correct 242 ms 64128 KB Output is correct
46 Correct 178 ms 16176 KB Output is correct
47 Correct 3133 ms 286420 KB Output is correct
48 Correct 3400 ms 387836 KB Output is correct
49 Correct 3795 ms 492376 KB Output is correct
50 Correct 3585 ms 467460 KB Output is correct
51 Correct 3513 ms 433140 KB Output is correct
52 Correct 3588 ms 402160 KB Output is correct
53 Correct 3586 ms 401484 KB Output is correct
54 Correct 3559 ms 401600 KB Output is correct
55 Correct 3604 ms 400348 KB Output is correct
56 Correct 3789 ms 443692 KB Output is correct
57 Correct 3894 ms 492332 KB Output is correct
58 Correct 4051 ms 540028 KB Output is correct
59 Correct 4255 ms 592472 KB Output is correct
60 Correct 4349 ms 647340 KB Output is correct
61 Correct 4529 ms 707132 KB Output is correct
62 Correct 4725 ms 772868 KB Output is correct
63 Correct 4845 ms 841116 KB Output is correct
64 Correct 3266 ms 997992 KB Output is correct
65 Correct 3335 ms 997984 KB Output is correct
66 Correct 162 ms 63816 KB Output is correct
67 Correct 1125 ms 242692 KB Output is correct
68 Correct 2838 ms 960636 KB Output is correct
69 Correct 3329 ms 961560 KB Output is correct
70 Correct 4426 ms 1003188 KB Output is correct
71 Correct 16079 ms 280472 KB Output is correct
72 Execution timed out 18093 ms 422384 KB Time limit exceeded
73 Halted 0 ms 0 KB -