[Light OJ] 1183 - Computing Fast Average

Author            : Dipu Kumar Mohanto 
                    CSE, Batch - 6
                    BRUR.
Problem Statement : 1183 - Computing Fast Average
Source            : Light Online Judge
Category          : Data Structure
Algorithm         : Implicit Treap, Lazy Propagation
Verdict           : Accepted 

#include "bits/stdc++.h"
 
using namespace std;
 
#define FI              freopen("in.txt", "r", stdin)
#define FO              freopen("out.txt", "w", stdout)
#define FAST            ios_base::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL)
 
#define FOR(i, n)       for (int i = 1; i <= n; i++)
#define For(i, n)       for (int i = 0; i < n; i++)
#define ROF(i, n)       for (int i = n; i >= 1; i--)
#define Rof(i, n)       for (int i = n-1; i >= 0; i--)
#define FORI(i, n)      for (auto i : n)
 
#define ll              long long
#define ull             unsigned long long
#define vi              vector <int>
#define vl              vector <ll>
#define pii             pair <int, int>
#define pll             pair <ll, ll>
#define mk              make_pair
#define ff              first
#define ss              second
#define eb              emplace_back
#define em              emplace
#define pb              push_back
#define ppb             pop_back
#define All(a)          a.begin(), a.end()
#define memo(a, b)      memset(a, b, sizeof a)
#define Sort(a)         sort(All(a))
#define ED(a)           Sort(a), a.erase(unique(All(a)), a.end())
#define rev(a)          reverse(All(a))
//#define sz(a)           (int)a.size()
#define max3(a, b, c)   max(a, max(b, c))
#define min3(a, b, c)   min(a, min(b, c))
#define maxAll(a)       *max_element(All(a))
#define minAll(a)       *min_element(All(a))
#define allUpper(a)     transform(All(a), a.begin(), :: toupper)
#define allLower(a)     transform(All(a), a.begin(), :: tolower)
#define endl            '\n'
#define nl              puts("")
#define ub              upper_bound
#define lb              lower_bound
#define Exp             exp(1.0)
#define PIE             2*acos(0.0)
#define Sin(a)          sin(((a)*PIE)/180.0)
#define EPS             1e-9
 
// int dr[] = {1, -1, 0, 0}; // 4 Direction
// int dc[] = {0, 0, 1, -1};
// int dr[] = {0, 0, 1, -1, 1, 1, -1, -1}; // 8 Direction
// int dc[] = {1, -1, 0, 0, 1, -1, 1, -1};
// int dr[] = {-1, 1, -2, -2, -1, 1, 2, 2}; // knight Moves
// int dc[] = {-2, -2, -1, 1, 2, 2, 1, -1};
 
#define trace1(x)                           cerr << #x << ": " << x << endl;
#define trace2(x, y)                        cerr << #x << ": " << x << " | " << #y << ": " << y << endl;
#define trace3(x, y, z)                     cerr << #x << ": " << x << " | " << #y << ": " << y << " | " << #z << ": " << z << endl;
#define trace4(a, b, c, d)                  cerr << #a << ": " << a << " | " << #b << ": " << b << " | " << #c << ": " << c << " | " << #d << ": " << d << endl;
#define trace5(a, b, c, d, e)               cerr << #a << ": " << a << " | " << #b << ": " << b << " | " << #c << ": " << c << " | " << #d << ": " << d << " | " << #e << ": " << e << endl;
#define trace6(a, b, c, d, e, f)            cerr << #a << ": " << a << " | " << #b << ": " << b << " | " << #c << ": " << c << " | " << #d << ": " << d << " | " << #e << ": " << e << " | " << #f << ": " << f << endl;
 
inline int setbit(int mask, int pos)      { return mask |= (1 << pos); }
inline int resetbit(int mask, int pos)    { return mask &= ~(1 << pos); }
inline int togglebit(int mask, int pos)   { return mask ^= (1 << pos); }
inline bool checkbit(int mask, int pos)   { return (bool)(mask & (1 << pos)); }
 
#define popcount(mask)                       __builtin_popcount(mask) // count set bit
#define popcountLL(mask)                     __builtin_popcountll(mask) // for long long
 
inline int read()                      { int a; scanf("%d", &a); return a; }
inline ll readLL()                        { ll a; scanf("%lld", &a); return a; }
inline double readDD()                    { double a; scanf("%lf", &a); return a; }
 
template <typename T> string toString(T num) { stringstream ss; ss << num; return ss.str(); }
int toInt(string s)                          { int num; istringstream iss(s); iss >> num; return num;  }
ll toLLong(string s)                         { ll num; istringstream iss(s); iss >> num; return num; }
 
#define inf             1e18
#define mod             1000000007
 
static const int maxn = 2e5 + 5;
static const int logn = 18;
 
struct node
{
      int val, sum, priority, sze;
      int lazy;
      node *lft, *rgt;
      node(int v = 0)
      {
            this->val = v;
            this->sum = v;
            this->priority = rand();
            this->sze = 1;
            this->lazy = -1;
            this->lft = this->rgt = nullptr;
      }
};
 
typedef node*       pnode;
 
inline int sz(pnode t)
{
      if (t) return t->sze;
      return 0;
}
 
inline void updateSize(pnode t)
{
      if (t) t->sze = sz(t->lft) + 1 + sz(t->rgt);
}
 
inline void push(pnode t)
{
      if (t == nullptr) return;
      if (t->lazy != -1)
      {
            if (t->lft) t->lft->lazy = t->lazy;
            if (t->rgt) t->rgt->lazy = t->lazy;
            t->val = t->lazy;
            t->sum = sz(t->lft) * t->lazy;
            t->sum += t->val;
            t->sum += sz(t->rgt) * t->lazy;
            t->lazy = -1;
      }
}
 
inline void combine(pnode t)
{
      if (t == nullptr) return;
      push(t->lft);
      push(t->rgt);
      t->sum = t->val;
      if (t->lft) t->sum += t->lft->sum;
      if (t->rgt) t->sum += t->rgt->sum;
}
 
inline void Split(pnode t, pnode &l, pnode &r, int pos, int add = 0)
{
      if (t == nullptr) return void(l = r = nullptr);
      push(t);
      int curr = sz(t->lft) + add;
      if (curr <= pos) Split(t->rgt, t->rgt, r, pos, curr+1), l = t;
      else Split(t->lft, l, t->lft, pos, add), r = t;
      updateSize(t);
      combine(t);
}
 
inline void Merge(pnode &t, pnode l, pnode r)
{
      push(l);
      push(r);
      if (l == nullptr || r == nullptr) t = l ? l : r;
      else if (l->priority < r->priority) Merge(r->lft, l, r->lft), t = r;
      else Merge(l->rgt, l->rgt, r), t = l;
      updateSize(t);
      combine(t);
}
 
inline void Insert(pnode &t, pnode newnode, int pos)
{
      pnode L, R;
      Split(t, L, R, pos-1);
      Merge(t, L, newnode);
      Merge(t, t, R);
}
 
inline pnode Update(pnode t, int l, int r, int val)
{
      if (t == nullptr) return t;
      pnode L, mid, R;
      Split(t, L, mid, l-1);
      Split(mid, t, R, r-l);
      t->lazy = val;
      Merge(mid, L, t);
      Merge(t, mid, R);
      return t;
}
 
inline int query(pnode t, int l, int r)
{
      if (!t) return 0;
      pnode L, mid, R;
      Split(t, L, mid, l-1);
      Split(mid, t, R, r-l);
      int ans = t->sum;
      Merge(mid, L, t);
      Merge(t, mid, R);
      return ans;
}
 
inline void display(pnode t)
{
      if (t == nullptr) return;
      display(t->lft);
      trace1(t->val);
      display(t->rgt);
}
 
inline void clean(pnode t)
{
      if (t == nullptr) return;
      clean(t->lft);
      clean(t->rgt);
      delete t;
}
 
int main()
{
      int tc = read();
      FOR(tcase, tc)
      {
            int n = read();
            int q = read();
            pnode treap = nullptr;
            For(i, n)
            {
                  pnode t;
                  Merge(t, treap, new node(0));
                  treap = t;
            }
            //display(treap);
            printf("Case %d:\n", tcase);
            while (q--)
            {
                  int type = read();
                  if (type == 1) // change
                  {
                        int l = read();
                        int r = read();
                        int val = read();
                        if (l > r) swap(l, r);
                        Update(treap, l, r, val);
                  }
                  else
                  {
                        int l = read();
                        int r = read();
                        if (l > r) swap(l, r);
                        int sum = query(treap, l, r);
                        int len = r - l + 1;
                        int gcd = __gcd(sum, len);
                        sum /= gcd;
                        len /= gcd;
                        printf("%d", sum);
                        if (len > 1) printf("/%d", len);
                        puts("");
                  }
            }
            clean(treap);
      }
}