#387344 (C++17) No.901 K-ary εxtrεεmε

提出ソース
結果

問題	No.901 K-ary εxtrεεmε
ユーザー	LayCurse
提出日時	2019-10-06 04:47:19
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	88 ms / 3,000 ms
コード長	14,835 bytes
コンパイル時間	3,662 ms
コンパイル使用メモリ	230,876 KB
実行使用メモリ	13,952 KB
最終ジャッジ日時	2024-10-08 09:51:32
合計ジャッジ時間	8,311 ms
ジャッジサーバーID （参考情報）	judge2 / judge1
このコードへのチャレンジ
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テストケース

テストケース表示
入力	結果	実行時間実行使用メモリ
testcase_00	AC	47 ms 13,952 KB
testcase_01	AC	2 ms 5,248 KB
testcase_02	AC	3 ms 5,248 KB
testcase_03	AC	3 ms 5,248 KB
testcase_04	AC	4 ms 5,248 KB
testcase_05	AC	4 ms 5,248 KB
testcase_06	AC	4 ms 5,248 KB
testcase_07	AC	73 ms 13,568 KB
testcase_08	AC	75 ms 13,440 KB
testcase_09	AC	74 ms 13,568 KB
testcase_10	AC	71 ms 13,440 KB
testcase_11	AC	72 ms 13,568 KB
testcase_12	AC	77 ms 13,568 KB
testcase_13	AC	82 ms 13,568 KB
testcase_14	AC	81 ms 13,568 KB
testcase_15	AC	84 ms 13,568 KB
testcase_16	AC	83 ms 13,696 KB
testcase_17	AC	60 ms 13,568 KB
testcase_18	AC	61 ms 13,696 KB
testcase_19	AC	60 ms 13,568 KB
testcase_20	AC	62 ms 13,568 KB
testcase_21	AC	60 ms 13,568 KB
testcase_22	AC	88 ms 13,824 KB
testcase_23	AC	86 ms 13,696 KB
testcase_24	AC	83 ms 13,952 KB
testcase_25	AC	86 ms 13,696 KB
testcase_26	AC	87 ms 13,696 KB
testcase_27	AC	42 ms 13,696 KB
testcase_28	AC	40 ms 13,440 KB
testcase_29	AC	41 ms 13,568 KB
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ソースコード

raw source code
#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
void *wmem;
char memarr[96000000];
template<class S, class T> inline S min_L(S a,T b){
  return a<=b?a:b;
}
template<class S, class T> inline S max_L(S a,T b){
  return a>=b?a:b;
}
template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){
  static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
  (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] );
  (*arr)=(T*)(*mem);
  (*mem)=((*arr)+x);
}
template<class T1> void sortA_L(int N, T1 a[], void *mem = wmem){
  sort(a, a+N);
}
template<class T1, class T2> void sortA_L(int N, T1 a[], T2 b[], void *mem = wmem){
  int i;
  pair<T1, T2> *arr;
  walloc1d(&arr, N, &mem);
  for(i=(0);i<(N);i++){
    arr[i].first = a[i];
    arr[i].second = b[i];
  }
  sort(arr, arr+N);
  for(i=(0);i<(N);i++){
    a[i] = arr[i].first;
    b[i] = arr[i].second;
  }
}
inline void rd(int &x){
  int k;
  int m=0;
  x=0;
  for(;;){
    k = getchar_unlocked();
    if(k=='-'){
      m=1;
      break;
    }
    if('0'<=k&&k<='9'){
      x=k-'0';
      break;
    }
  }
  for(;;){
    k = getchar_unlocked();
    if(k<'0'||k>'9'){
      break;
    }
    x=x*10+k-'0';
  }
  if(m){
    x=-x;
  }
}
inline int rd_int(void){
  int x;
  rd(x);
  return x;
}
inline void wt_L(char a){
  putchar_unlocked(a);
}
inline void wt_L(long long x){
  int s=0;
  int m=0;
  char f[20];
  if(x<0){
    m=1;
    x=-x;
  }
  while(x){
    f[s++]=x%10;
    x/=10;
  }
  if(!s){
    f[s++]=0;
  }
  if(m){
    putchar_unlocked('-');
  }
  while(s--){
    putchar_unlocked(f[s]+'0');
  }
}
template <class T> struct LHeap{
  int *hp;
  int *place;
  int size;
  T *val;
  void malloc(int N){
    hp = (int*)std::malloc(N*sizeof(int));
    place=(int*)std::malloc(N*sizeof(int));
    val=(T*)std::malloc(N*sizeof(T));
  }
  void walloc(int N, void **mem=&wmem){
    walloc1d(&hp, N, mem);
    walloc1d(&place, N, mem);
    walloc1d(&val, N, mem);
  }
  void free(){
    std::free(hp);
    std::free(place);
    std::free(val);
  }
  void init(int N){
    int i;
    size=0;
    for(i=(0);i<(N);i++){
      place[i]=-1;
    }
  }
  void up(int n){
    int m;
    while(n){
      m=(n-1)/2;
      if(val[hp[m]]<=val[hp[n]]){
        break;
      }
      swap(hp[m],hp[n]);
      swap(place[hp[m]],place[hp[n]]);
      n=m;
    }
  }
  void down(int n){
    int m;
    for(;;){
      m=2*n+1;
      if(m>=size){
        break;
      }
      if(m+1<size&&val[hp[m]]>val[hp[m+1]]){
        m++;
      }
      if(val[hp[m]]>=val[hp[n]]){
        break;
      }
      swap(hp[m],hp[n]);
      swap(place[hp[m]],place[hp[n]]);
      n=m;
    }
  }
  void change(int n, T v){
    T f = val[n];
    val[n] = v;
    if(place[n]==-1){
      place[n] = size;
      hp[size++] = n;
      up(place[n]);
    }
    else{
      if(f < v){
        down(place[n]);
      }
      else if(f > v){
        up(place[n]);
      }
    }
  }
  int pop(void){
    int res = hp[0];
    place[res] = -1;
    size--;
    if(size){
      hp[0]=hp[size];
      place[hp[0]]=0;
      down(0);
    }
    return res;
  }
}
;
template<class T> struct fenwick{
  int size;
  int memory;
  T *data;
  void malloc(int mem){
    memory = mem;
    data = (T*)std::malloc(sizeof(T)*mem);
  }
  void walloc(int mem, void **workMemory=&wmem){
    memory = mem;
    walloc1d(&data, mem, workMemory);
  }
  void free(void){
    memory = 0;
    free(data);
  }
  void init(int N){
    size = N;
    memset(data,0,sizeof(T)*N);
  }
  void add(int k, T val){
    while(k < size){
      data[k] += val;
      k |= k+1;
    }
  }
  T get(int k){
    T res = 0;
    while(k>=0){
      res += data[k];
      k = (k&(k+1))-1;
    }
    return res;
  }
  T range(int a, int b){
    if(b==-1){
      b=size-1;
    }
    return get(b) - get(a-1);
  }
  int kth(T k){
    int i=0;
    int j=size;
    int c;
    T v;
    while(i<j){
      c = (i+j)/2;
      v = get(c);
      if(v <= k){
        i=c+1;
      }
      else{
        j=c;
      }
    }
    return i==size?-1:i;
  }
}
;
struct graph{
  int N;
  int *es;
  int **edge;
  void setEdge(int N__, int M, int A[], int B[], void **mem = &wmem){
    int i;
    N = N__;
    walloc1d(&es, N, mem);
    walloc1d(&edge, N, mem);
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      es[A[i]]++;
      es[B[i]]++;
    }
    for(i=(0);i<(N);i++){
      walloc1d(&edge[i], es[i], mem);
    }
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      edge[A[i]][es[A[i]]++] = B[i];
      edge[B[i]][es[B[i]]++] = A[i];
    }
  }
  void getDist(int root, int res[], void *mem = wmem){
    int i;
    int j;
    int k;
    int*q;
    int s;
    int z;
    walloc1d(&q, N, &mem);
    for(i=(0);i<(N);i++){
      res[i]=-1;
    }
    res[root]=0;
    s=0;
    z=1;
    q[0]=root;
    while(z){
      i=q[s++];
      z--;
      for(j=(0);j<(es[i]);j++){
        k=edge[i][j];
        if(res[k]>=0){
          continue;
        }
        res[k]=res[i]+1;
        q[s+z++]=k;
      }
    }
  }
  int preorder(int res[], int root = 0, void *mem=wmem){
    int i;
    int j;
    int k;
    int *st;
    int sts;
    int sz = 0;
    char *vis;
    walloc1d(&vis, N, &mem);
    walloc1d(&st, N, &mem);
    sts = 0;
    st[sts++] = root;
    for(i=(0);i<(N);i++){
      vis[i] = 0;
    }
    vis[root] = 1;
    while(sts){
      i = st[--sts];
      res[sz++] = i;
      for(j=(0);j<(es[i]);j++){
        k = edge[i][j];
        if(vis[k]){
          continue;
        }
        vis[k] = 1;
        st[sts++] = k;
      }
    }
    return sz;
  }
}
;
struct HLD{
  int N;
  int *es;
  int **edge;
  int *group;
  int *groupind;
  int groupNum;
  int *groupSize;
  int **groupNode;
  int *groupUpNode;
  int *groupDepth;
  void init(graph g, void **mem = &wmem){
    init(g.N, g.es, g.edge, mem);
  }
  void init(int N__, int *es__, int **edge__, void **mem = &wmem){
    int i;
    int j;
    int k;
    int x;
    int y;
    int mx;
    int *q;
    int q_st;
    int q_ed;
    int *sz;
    char *vis;
    void *tmpmem;
    N = N__;
    es = es__;
    edge = edge__;
    walloc1d(&group, N, mem);
    walloc1d(&groupind, N, mem);
    tmpmem = *mem;
    walloc1d(&q, N, &tmpmem);
    walloc1d(&sz, N, &tmpmem);
    walloc1d(&vis, N, &tmpmem);
    for(i=(0);i<(N);i++){
      vis[i] = 0;
    }
    q_st = 0;
    q_ed = 1;
    q[0] = 0;
    vis[0] = 1;
    while(q_st < q_ed){
      i = q[q_st++];
      for(j=(0);j<(es[i]);j++){
        k = edge[i][j];
        if(!vis[k]){
          vis[k] = 1;
          q[q_ed++] = k;
        }
      }
    }
    for(i=(0);i<(N);i++){
      sz[i] = 0;
    }
    for(j=N-1;j>=0;j--){
      i = q[j];
      sz[i] = 1;
      for(k=(0);k<(es[i]);k++){
        sz[i] += sz[edge[i][k]];
      }
    }
    for(i=(0);i<(N);i++){
      group[i] = -1;
    }
    groupNum = 0;
    for(j=(0);j<(N);j++){
      i = q[j];
      if(group[i]>=0){
        continue;
      }
      group[i] = groupNum++;
      groupind[i] = 0;
      for(;;){
        mx = -1;
        for(k=(0);k<(es[i]);k++){
          if(group[edge[i][k]] != -1){
            continue;
          }
          if(mx==-1){
            mx = k;
          }
          else if(sz[edge[i][k]] > sz[edge[i][mx]]){
            mx = k;
          }
        }
        if(mx==-1){
          break;
        }
        group[edge[i][mx]] = group[i];
        groupind[edge[i][mx]] = groupind[i]+1;
        i = edge[i][mx];
      }
    }
    walloc1d(&groupSize, groupNum, mem);
    walloc1d(&groupUpNode, groupNum, mem);
    walloc1d(&groupDepth, groupNum, mem);
    for(i=(0);i<(groupNum);i++){
      groupSize[i] = 0;
    }
    for(i=(0);i<(N);i++){
      groupSize[group[i]]++;
    }
    walloc1d(&groupNode, groupNum, mem);
    for(i=(0);i<(groupNum);i++){
      walloc1d(&groupNode[i], groupSize[i], mem);
    }
    for(i=(0);i<(N);i++){
      groupNode[group[i]][groupind[i]] = i;
    }
    for(i=(0);i<(groupNum);i++){
      groupDepth[i] = -1;
    }
    groupUpNode[0] = -1;
    groupDepth[0] = 0;
    for(x=(0);x<(groupNum);x++){
      for(y=(0);y<(groupSize[x]);y++){
        i = groupNode[x][y];
        for(j=(0);j<(es[i]);j++){
          k = edge[i][j];
          if(x != group[k] && groupDepth[group[k]]==-1){
            groupUpNode[group[k]] = i;
            groupDepth[group[k]] = groupDepth[x] + 1;
          }
        }
      }
    }
  }
  int lca(int x, int y){
    int x1;
    int y1;
    int x2;
    int y2;
    x1 = group[x];
    x2 = groupind[x];
    y1 = group[y];
    y2 = groupind[y];
    while(groupDepth[x1] > groupDepth[y1]){
      x = groupUpNode[x1];
      x1 = group[x];
      x2 = groupind[x];
    }
    while(groupDepth[x1] < groupDepth[y1]){
      y = groupUpNode[y1];
      y1 = group[y];
      y2 = groupind[y];
    }
    while(x1 != y1){
      x = groupUpNode[x1];
      x1 = group[x];
      x2 = groupind[x];
      y = groupUpNode[y1];
      y1 = group[y];
      y2 = groupind[y];
    }
    if(x2 <= y2){
      return x;
    }
    return y;
  }
  int depth(int x){
    int x1;
    int x2;
    int res = 0;
    x1 = group[x];
    x2 = groupind[x];
    while(groupUpNode[x1] != -1){
      res += x2 + 1;
      x = groupUpNode[x1];
      x1 = group[x];
      x2 = groupind[x];
    }
    return res + x2;
  }
  int dist(int x, int y){
    int x1;
    int y1;
    int x2;
    int y2;
    int res = 0;
    x1 = group[x];
    x2 = groupind[x];
    y1 = group[y];
    y2 = groupind[y];
    while(groupDepth[x1] > groupDepth[y1]){
      res += x2 + 1;
      x = groupUpNode[x1];
      x1 = group[x];
      x2 = groupind[x];
    }
    while(groupDepth[x1] < groupDepth[y1]){
      res += y2 + 1;
      y = groupUpNode[y1];
      y1 = group[y];
      y2 = groupind[y];
    }
    while(x1 != y1){
      res += x2 + y2 + 2;
      x = groupUpNode[x1];
      x1 = group[x];
      x2 = groupind[x];
      y = groupUpNode[y1];
      y1 = group[y];
      y2 = groupind[y];
    }
    if(x2 <= y2){
      return res + y2 - x2;
    }
    return res + x2 - y2;
  }
  int up(int x){
    int x1 = group[x];
    int x2 = groupind[x];
    if(x2==0){
      return groupUpNode[x1];
    }
    return groupNode[x1][x2-1];
  }
  int up(int x, int d){
    int x1 = group[x];
    int x2 = groupind[x];
    while(d > x2){
      if(groupUpNode[x1]==-1){
        return -1;
      }
      d -= x2 + 1;
      x = groupUpNode[x1];
      x1 = group[x];
      x2 = groupind[x];
    }
    return groupNode[x1][x2-d];
  }
}
;
template<class T> struct HLD_fenwick{
  HLD *hld;
  fenwick<T> *fen;
  void init(HLD *hld__, void **mem = &wmem){
    int i;
    int j;
    hld = hld__;
    walloc1d(&fen, hld->groupNum, mem);
    for(i=(0);i<(hld->groupNum);i++){
      fen[i].walloc(hld->groupSize[i], mem);
      fen[i].init(hld->groupSize[i]);
    }
  }
  inline void add(int u, T val){
    int ug;
    int ui;
    ug = hld->group[u];
    ui = hld->groupind[u];
    fen[ug].add(ui, val);
  }
  inline T get(int u, int v){
    T res;
    int ug;
    int vg;
    int ui;
    int vi;
    ug = hld->group[u];
    vg = hld->group[v];
    res = 0;
    while(ug != vg){
      if(hld->groupDepth[ug] < hld->groupDepth[vg]){
        swap(u, v);
        swap(ug, vg);
      }
      res += fen[ug].get(hld->groupind[u]);
      u = hld->groupUpNode[ug];
      ug = hld->group[u];
    }
    ui = hld->groupind[u];
    vi = hld->groupind[v];
    res += fen[ug].range(min_L(ui, vi),max_L(ui, vi));
    return res;
  }
}
;
int N;
int A[100000];
int B[100000];
int C[100000];
int sz;
int X[100000];
int dis[100000];
int pre[100000];
int val[100000];
int nx[100000];
int bf[100000];
int main(){
  int KL2GvlyY;
  wmem = memarr;
  int i;
  int j;
  int k;
  int m;
  long long res;
  graph g;
  HLD hld;
  HLD_fenwick<long long> t;
  LHeap<int> hp;
  rd(N);
  {
    int Lj4PdHRW;
    for(Lj4PdHRW=(0);Lj4PdHRW<(N-1);Lj4PdHRW++){
      rd(A[Lj4PdHRW]);
      rd(B[Lj4PdHRW]);
      rd(C[Lj4PdHRW]);
    }
  }
  g.setEdge(N,N-1,A,B);
  hld.init(g);
  t.init(&hld);
  hp.walloc(N);
  g.getDist(0,dis);
  for(i=(0);i<(N-1);i++){
    if(dis[A[i]] > dis[B[i]]){
      swap(A[i], B[i]);
    }
  }
  for(i=(0);i<(N-1);i++){
    t.add(B[i], C[i]);
  }
  g.preorder(val);
  for(i=(0);i<(N);i++){
    pre[val[i]] = i;
  }
  int Q5VJL1cS = rd_int();
  for(KL2GvlyY=(0);KL2GvlyY<(Q5VJL1cS);KL2GvlyY++){
    int cTE1_r3A;
    rd(sz);
    {
      int e98WHCEY;
      for(e98WHCEY=(0);e98WHCEY<(sz);e98WHCEY++){
        rd(X[e98WHCEY]);
      }
    }
    for(i=(0);i<(sz);i++){
      val[i] = pre[X[i]];
    }
    sortA_L(sz, val, X);
    hp.init(sz-1);
    for(i=(0);i<(sz-1);i++){
      k = hld.lca(X[i],X[i+1]);
      hp.change(i, -dis[k]);
    }
    for(i=(0);i<(sz);i++){
      bf[i] = i-1;
    }
    for(i=(0);i<(sz);i++){
      nx[i] = i+1;
    }
    res = 0;
    for(cTE1_r3A=(0);cTE1_r3A<(sz-1);cTE1_r3A++){
      i = hp.pop();
      j = nx[i];
      k = hld.lca(X[i], X[j]);
      res += t.get(X[i], k) - t.get(k,k);
      res += t.get(X[j], k) - t.get(k,k);
      X[j] = k;
      k = bf[j] = bf[i];
      if(k >= 0){
        nx[k] = j;
      }
      if(0 <= j  &&  j < sz-1 && 0 <= nx[j]  &&  nx[j] < sz){
        m = hld.lca(X[j], X[nx[j]]);
        hp.change(j, -dis[m]);
      }
      if(0 <= k  &&  k < sz-1 && 0 <= nx[k]  &&  nx[k] < sz){
        m = hld.lca(X[k], X[nx[k]]);
        hp.change(k, -dis[m]);
      }
    }
    wt_L(res);
    wt_L('\n');
  }
  return 0;
}
// cLay varsion 20191006-1

// --- original code ---
// int N, A[1d5], B[1d5], C[1d5];
// int sz, X[1d5];
// int dis[1d5], pre[1d5], val[1d5];
// 
// int nx[1d5], bf[1d5];
// 
// {
//   int i, j, k, m;
//   ll res;
//   graph g;
//   HLD hld;
//   HLD_fenwick<ll> t;
//   LHeap<int> hp;
// 
//   rd(N,(A,B,C)(N-1));
// 
//   g.setEdge(N,N-1,A,B);
//   hld.init(g);
//   t.init(&hld);
//   hp.walloc(N);
// 
//   g.getDist(0,dis);
//   rep(i,N-1) if(dis[A[i]] > dis[B[i]]) swap(A[i], B[i]);
//   rep(i,N-1) t.add(B[i], C[i]);
// 
//   g.preorder(val);
//   rep(i,N) pre[val[i]] = i;
// 
//   REP(rd_int()){
//     rd(sz,X(sz));
//     rep(i,sz) val[i] = pre[X[i]];
//     sortA(sz, val, X);
//     hp.init(sz-1);
//     rep(i,sz-1){
//       k = hld.lca(X[i],X[i+1]);
//       hp.change(i, -dis[k]);
//     }
//     rep(i,sz) bf[i] = i-1;
//     rep(i,sz) nx[i] = i+1;
//     res = 0;
//     rep(sz-1){
//       i = hp.pop();
//       j = nx[i];
//       k = hld.lca(X[i], X[j]);
//       res += t.get(X[i], k) - t.get(k,k);
//       res += t.get(X[j], k) - t.get(k,k);
//       X[j] = k;
//       k = bf[j] = bf[i];
//       if(k >= 0) nx[k] = j;
//       if(0 <= j < sz-1 && 0 <= nx[j] < sz){
//         m = hld.lca(X[j], X[nx[j]]);
//         hp.change(j, -dis[m]);
//       }
//       if(0 <= k < sz-1 && 0 <= nx[k] < sz){
//         m = hld.lca(X[k], X[nx[k]]);
//         hp.change(k, -dis[m]);
//       }
//     }
//     wt(res);
//   }
// }
yukicoder

結果

テストケース

ソースコード
