Answer:
subject line
Explanation:
it is a brief description of what the email subject is.
Let P(n) be "a postage of n cents can be formed using 5-cent and 17-cent stamps if n is greater than 63".Basis step: P(64) is true since 64 cents postage can be formed with one 5-cent and one 17-cent stamp.Inductive step: Assume that P(n) is true, that is, postage of n cents can be formed using 5-cent and 17-cent stamps. We will show how to form postage of n + 1 cents. By the inductive hypothesis postage of n cents can be formed using 5-cent and 17-cent stamps. If this included a 17-cent stamp, replace this 17-cent stamp with two 5-cent stamps to obtain n + 1 cents postage. Otherwise, only 5-cent stamps were used and n 65. Hence there are at least three 5-cent stamps forming n cents. Remove three of these 5-cent stamps and replace them with two 17-cent stamps to obtain n + 1 cents postage.Hence P(n + 1) is true.
Answer:
Explanation:
The following code was written in Java and performs the exact requirements listed in the question. It has also been tested by the runner code and works perfectly.
public static boolean insert(String[] words, String newWord, int place) {
if (place > words.length) {
return false;
} else {
for (int x = words.length - 1; x >= 0; x--) {
if (place == x) {
words[x] = newWord;
break;
} else {
words[x] = words[x-1];
}
}
return true;
}
}
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