Cheating Time solution codechef

Cheating Time solution codechef

Chef’s college is conducting an online exam, where his camera will be monitored by one or more invigilators (supervisors). Once again, Chef failed to prepare for the exam on time and decided to google answers during it.

The exam starts at time 00 and ends at time FF minutes. Chef needs a total of KK minutes of googling during the exam in order to pass it. There are NN invigilators (numbered 11 through NN); for each valid ii, the ii-th invigilator monitors Chef’s camera during the time interval starting at SiSi minutes since the start of the exam and ending at EiEi minutes (where 0SiEiF0≤Si≤Ei≤F).

He was resourceful enough to somehow get hold of these times and now he wants to know if he would be able to pass the exam if he googles the answers during the times when no one is looking at his camera.

Input Cheating Time solution codechef

  • The first line of the input contains a single integer TT denoting the number of test cases. The description of TT test cases follows.
  • The first line of each test case contains three space-separated integers NNKK and FF.
  • NN lines follow. For each valid ii, the ii-th of these lines contains two space-separated integers SiSi and EiEi.

Output Cheating Time solution codechef

For each test case, print a single line containing the string "YES" if it is possible to pass the exam or "NO" if it is impossible.

You may print each character of each string in uppercase or lowercase (for example, the strings “yEs”, “yes”, “Yes” and “YES” will all be treated as identical).

Constraints Cheating Time solution codechef

  • 1T1051≤T≤105
  • 1N1051≤N≤105
  • 1F1091≤F≤109
  • 0KF0≤K≤F
  • 0SiEiF0≤Si≤Ei≤F for each valid ii
  • the sum of NN over all test cases does not exceed 21052⋅105

Example Input Cheating Time solution codechef

3
1 10 10
0 10
2 2 10
0 5
7 10
2 2 100
0 5
5 10

Example Output Cheating Time solution codechef

NO
YES
YES

Explanation Cheating Time solution codechef

Example case 1: There is no point during the exam when Chef is not monitored, so he is unable to google even for a single second and will fail the exam.

Example case 2: Chef can google for 22 minutes (in the time interval [5,7][5,7], when he is not monitored) and hence will be able to pass the exam.

Example case 3: Chef can google for 22 minutes (in the time interval [10,12][10,12]) and hence will be able to pass the exam.

SOLUTION

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