Alice, Bob, and Charlie are contributing to buy a Netflix subscription. However, Netfix allows only two users to share a subscription.

Given that Alice, Bob, and Charlie have A, B, and C rupees respectively and a Netflix subscription costs X rupees, find whether any two of them can contribute to buy a subscription.

------ Input Format ------

• The first line of input will contain a single integer T, denoting the number of test cases.
• Each test case contains four space-separated integers A, B, C, and X — the amount that Alice, Bob, and Charlie have, and the cost of a Netflix subscription respectively.

------ Output Format ------

For each test case, output YES, if any two of Alice, Bob, and Charlie can contribute to buy a Netflix subscription or NO otherwise.

You may print each character in uppercase or lowercase. For example, NO, no, No, and nO are all considered identical.

------ Constraints ------

$1 ≤ T ≤ 1000$
$1 ≤ A, B, C, X ≤ 100$

------ subtasks ------

Subtask 1 (10 points): $1 ≤ M ≤ 10$
Subtask 2 (20 points): The sum of $N$ across all test cases won't exceed $20$.
Subtask 3 (70 points): No further constraints.

----- Sample Input 1 ------
4
1 1 1 3
2 3 1 5
4 2 3 4
2 1 4 7

----- Sample Output 1 ------
NO
YES
YES
NO

----- explanation 1 ------
Test case $1$: No two people can contribute to collect enough money to buy a Netflix subscription.

Test case $2$: Alice and Bob can contribute and collect a total of $5$ rupees which is enough to buy a Netflix subscription of $5$ rupees.

Test case $3$: One possible way is, Bob and Charlie can contribute and collect a total of $5$ rupees which is enough to buy a Netflix subscription of $4$ rupees.
Note that there are other possible ways as well.

Test case $4$: No two people can contribute to collect enough money to buy a Netflix subscription.

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