"I can make bad things happen to people who annoy me. I can make them hurt if I want to." —Tom Riddle

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From Professor Slughorn, Chotu Potter has received an old copy of 'Advanced Potion Making' which was earlier owned by the Half-Blood Prince. Chotu Potter wants to impress Choti Weasley by winning the next Quidditch match and thus needs to make Felix Felicis (the luck potion).

He found that Felix Felicis can be made by using N ingredients each of which is added in some particular quantity. The luck gained by the potion depends on the ingredient poured in maximum amount, and its strength is equal to the Quantity of that ingredient. Half-Blood Prince has written down the amount of each ingredient to be used in brewing the luck potion. Chotu being an over-smart wizard, does not believe in the method written by Half-Blood prince, and wants to conduct his own experiments to make a better luck potion.

He will perform Q experiments, in each of which he will change the quantity of the I^th ingredient to some value, and will try to find the strength of luck potion for that experiment. Help Chotu in finding out the strength of the potion in each experiment.

Help him make the best Felix Felicis, by finding the strength of the potion in each experiment.

Input
First line of input contains the integer N - number of ingredients required for Felix Felicis and Q - number of experiments Chotu is going to perform.
Next line contains N integers denoting the quantity of each ingredient Half-Blood Prince has suggested.
Next Q lines contain 2 integer I and X. The index(1-based) of ingredient whose amount needs to be changed and the new quantity.

Output
Print Q lines, the strength of luck potion in each experiment.

Note - The experiments are performed continuously, so if the Quantity of an ingredient is changed in an experiment, it will remain changed in the later experiments.

Constraints
1 <= N <= 10⁵
1 <= Q <= 10⁵
1 <= Quantity of ingredient <= 10⁸
1 <= I <= N
1 <= X <= 10⁸