目录

noip模拟46

T1 数数

lj题,25min切了

其实考场上就有两车面包人切了

先对数列排个序,列一列情况,你就会发现:想让答案最大,一定取的是排完序的数列两端的数来让答案最大,对于总数为奇数的情况,中间的那个数是个废物,对答案没有影响不必考虑。

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#include <bits/stdc++.h>
#define For(i, l, r) for (long long i = (l), i##end = (r); i <= i##end; ++i)
#define Fordown(i, r, l) for (long long i = (r), i##end = (l); i >= i##end; --i)
#define Set(a, v) memset(a, v, sizeof(a))
using namespace std;
const long long maxn = 300010;

template<typename LDXIN>
LDXIN read() {
  LDXIN s = 0, f = 1;
  char ch = getchar();
  while (ch < '0' || ch > '9') {
    if (ch == '-') f = -1;
    ch = getchar();
  }
  while (ch >= '0' && ch <= '9') {
    s = s * 10 + ch - '0';
    ch = getchar();
  }
  return s * f;
}

int n;
long long a[maxn];
long long now, nowInc;

int main() {
  n = read<int>();
  For(i, 1, n) {
    a[i] = read<long long>();
  }
  sort(a + 1, a + 1 + n);
  cout << 0 << endl;
  For(i, 0, n / 2 - 1) {
    nowInc += abs(a[n - i] - a[1 + i]);
    now += nowInc;
    printf("%lld\n", now);
    if (n - 3 - i * 2 >= 0) {
      now += nowInc;
      printf("%lld\n", now);
    }
  }
  return 0;
}

T2 数树

插头dp,不会!!

T3 鼠树

200Ln+的神仙码农题

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#include <bits/stdc++.h>
#define For(i, l, r) for (long long i = (l), i##end = (r); i <= i##end; ++i)
#define Fordown(i, r, l) for (long long i = (r), i##end = (l); i >= i##end; --i)
#define Set(a, v) memset(a, v, sizeof(a))
using namespace std;
const long long maxn = 500010;

template<typename LDXIN>
LDXIN read() {
  LDXIN s = 0, f = 1;
  char ch = getchar();
  while (ch < '0' || ch > '9') {
    if (ch == '-') f = -1;
    ch = getchar();
  }
  while (ch >= '0' && ch <= '9') {
    s = s * 10 + ch - '0';
    ch = getchar();
  }
  return s * f;
}

struct EDGE {
  int to, nxt;
} edge[maxn * 2];
int tote, head[maxn];
void addEdge(int from, int to) {
  edge[++tote].to = to;
  edge[tote].nxt = head[from];
  head[from] = tote;
}

int d[maxn], dfn[maxn], tot, fa[maxn], sz[maxn];
int col[maxn], ublk[maxn];

void dfs(int id, int fa, int dep) {
  d[id] = dep;
  sz[id] = 1;
  dfn[id] = ++tot;
  for (int i = head[id]; i; i = edge[i].nxt) {
    int to = edge[i].to;
    if (to == fa) continue;
    dfs(to, id, dep + 1);
    sz[id] += sz[to];
  }
}

class segtreetmp {
#define lid id << 1
#define rid id << 1 | 1
  struct TREE {
    long long l, r;
    uint32_t sum, lazy, maxx;
  } tree[maxn * 4];

  void update(long long id) {
    tree[id].sum = tree[lid].sum + tree[rid].sum;
    tree[id].maxx = max(tree[lid].maxx, tree[rid].maxx);
  }

  void down(long long id) {
    tree[lid].sum +=
        1ll * tree[id].lazy * (tree[lid].r - tree[lid].l + 1);
    tree[rid].sum +=
        1ll * tree[id].lazy * (tree[rid].r - tree[rid].l + 1);
    tree[lid].lazy += tree[id].lazy;
    tree[rid].lazy += tree[id].lazy;
    tree[id].lazy = 0;
  }

 public:
  void build(long long id, long long l, long long r) {
    tree[id].l = l;
    tree[id].r = r;
    if (l == r) {
      return;
    }
    long long mid = (l + r) / 2;
    build(lid, l, mid);
    build(rid, mid + 1, r);
    update(id);
  }

  void addInterval(long long id, long long l, long long r, long long val) {
    if (tree[id].l >= l && tree[id].r <= r) {
      tree[id].lazy += val;
      tree[id].maxx += val;
      tree[id].sum += 1ll * val * (tree[id].r - tree[id].l + 1);
      return;
    }
    if (tree[id].lazy) down(id);
    long long mid = (tree[id].l + tree[id].r) / 2;
    if (l <= mid) addInterval(lid, l, r, val);
    if (r > mid) addInterval(rid, l, r, val);
    update(id);
  }

  uint32_t sumInterval(long long id, long long l, long long r) {
    uint32_t cnt = 0;
    if (tree[id].l >= l && tree[id].r <= r) return tree[id].sum;
    if (tree[id].lazy) down(id);
    long long mid = (tree[id].l + tree[id].r) / 2;
    if (l <= mid) cnt += sumInterval(lid, l, r);
    if (r > mid) cnt += sumInterval(rid, l, r);
    return cnt;
  }

  void addPoint(long long id, long long x, long long val) {
    if (tree[id].l == tree[id].r) {
      tree[id].sum += val;
      tree[id].maxx += val;
      return;
    }
    if (tree[id].lazy) down(id);
    long long mid = (tree[id].l + tree[id].r) / 2;
    if (x <= mid)
      addPoint(lid, x, val);
    else
      addPoint(rid, x, val);
    update(id);
  }
} tr;

int n, m;

vector<int> blk[maxn];

int main() {
  n = read<int>();
  m = read<int>();
  tr.build(1, 1, n);
  For(i, 2, n) {
    fa[i] = read<int>();
    addEdge(fa[i], i);
  }
  col[1] = col[0] = 1;
  dfs(1, 0, 1);
  For(i, 1, m) {
    int opt, k;
    opt = read<int>();
    k = read<int>();
    switch(opt) {
    case 1: {
      cout << tr.sumInterval(1, dfn[k], dfn[k]) << endl;
      break;
    }
    case 2: {
      int w;
      w = read<int>();
      tr.addInterval(1, dfn[k], dfn[k] + sz[k] - 1, w);
      if (blk[k].size()) {
        for (auto i : blk[k]) {
          tr.addInterval(1, dfn[i], dfn[i] + sz[i] - 1, -w);
        }
      }
      break;
    }
    case 3: {
      cout << tr.sumInterval(1, dfn[k], dfn[k] + sz[k] - 1) << endl;
      break;
    }
    case 4: {
      int w = read<int>();
      if (col[k] == 1) {
        tr.addInterval(1, dfn[k], dfn[k] + sz[k] - 1, w);
        break;
      }
      int now = k;
      while (col[now] == 0) now = fa[now];
      if (blk[now].size()) {
      for (auto i : blk[now]) {
        if (dfn[k] <= dfn[i] && dfn[i] <= dfn[k] + sz[k] - 1) {
          tr.addInterval(1, dfn[i], dfn[i] + sz[i] - 1, w);
        }
      }
      }
      break;
      
    }
    case 5: {
      int now = k;
      while (col[now] == 0) now = fa[now];
      ublk[k] = now;
      col[k] = 1;
      int ende = blk[now].size();
      for (int i = 0; i < ende; i++) {
        if (dfn[k] <= dfn[blk[now][i]] && dfn[blk[now][i]] <= dfn[k] + sz[k] - 1) {
          blk[k].push_back(blk[now][i]);
          ublk[blk[now][i]] = k;
          blk[now][i] = blk[now][ende - 1];
          i--;
          blk[now].pop_back();
          ende--;
        }
      }
      blk[now].push_back(k);
      break;
    }
    case 6: {
      int ende = blk[k].size();
      For(i, 0, ende - 1) {
        blk[ublk[k]].push_back(blk[k][i]);
        ublk[blk[k][i]] = ublk[k];
      }
      blk[k].clear();
      ende = blk[ublk[k]].size();
      for (int i = 0; i < ende; i++) {
        if (blk[ublk[k]][i] == k) {
          blk[ublk[k]][i] = blk[ublk[k]][ende - 1];
          blk[ublk[k]].pop_back();
        }
      }
      ublk[k] = 0;
      col[k] = 0;
      break;
    }
    }
  }
  return 0; 
}