What is the time complexity T(n) and the Big-Oh notation of the following programs in terms of n? If you cannot simplify the summation just keep it as is please type the ans with clear explanation a) for (i = 0; i <= 2*n; i ++) { for (j = 0; j < 2*n – 3*i; j+=5) { sum += i + j; } } b) for (i = 5; i < n; i *= 3) { for (j = 0; j < i+7; j *= 2) { // 5 statements; } } c) for (i = 1; i <= n; i += 2) { for (j = 1; j <= i; j++) { // 3 statements; if (i % 2 == 1) { // 2 statements } }

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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What is the time complexity T(n) and the Big-Oh notation of the following programs in terms of n? If you cannot simplify the summation just keep it as is

please type the ans with clear explanation

a)
for (i = 0; i <= 2*n; i ++) { for (j = 0; j < 2*n – 3*i; j+=5) {

sum += i + j; }

}

b)

for (i = 5; i < n; i *= 3) {
for (j = 0; j < i+7; j *= 2) {
// 5 statements;
}

}

c)

for (i = 1; i <= n; i += 2) { for (j = 1; j <= i; j++) {

// 3 statements; if (i % 2 == 1) { // 2 statements

} }

}

 

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