TLE error in the problem

general
,
1

I am not able to remove TLE error from this. Here are the original constraints for the problem.
1≤T≤1,000
1≤N≤105
1≤Ai≤N for each valid i
the sum of N over all test cases does not exceed 2⋅10^5.

def happy(L):
for i in range(1,len(L)-1):
    j=i+1
    while j<len(L):
        if L[i]==L[j]:
            if str(i) in L and str(j) in L:
                return "Truly Happy"
        j=j+1
return "Poor Chef"

x=int(input())
list=[]
for i in range(x):
y=int(input())
z=input().split()
z.insert(0,0.3)
list.append(z)
for i in list:
print(happy(i))

Sub-Task Task # Result
(time)
1 0 AC
(0.020000)
Subtask Score: 27.00% Result - AC
2 1 AC
(0.020000)
2 2 TLE
(5.010000)
2 3 TLE
(5.010000)
Subtask Score: 0.00% Result - TLE
Total Score = 27.00%

I have tried to think about other algorithms but cant find better than this. Maybe problem lies in the input part, which increases time.