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There are N students studying at :. unique identifier (ID). University numbered from 1 to N. Each student has their own As a result of recent achievements, . ith student received C; coupons from the university. For each of the received coupon, the student must write a student's ID on the back of the coupon. The written ID might belong to the student themselves or another student. However, the university enforces that the ith student cannot write the jth student's ID if the difference between i and j is more than one, i.e. |i – j|> 1. Jniversity wants to distribute coupons to their students. The After all the students have written a student's ID on the back of each coupon, all coupons are then collected by the university. The university then grants a prize to each student whose ID is written on at least one coupon. For example, let N = 4 and C1.4 = {3,0, 1,0}. The first student can write the second student's ID on two of their coupons, and write the first student's ID on the remaining coupon. • The third student can write the fourth student's ID on their coupon. • Therefore, the first, second, and fourth students get at least one prize. The students want to write the student's ID such that the number of distinct students who get a prize is maximized. The students studying at BINUS University are known to be selfless, so they might not write their own ID and write other's ID instead if it can increase the number of students who will get a prize. Your task is to determine the maximum number of students who will get a prize.

There are N students studying at :. unique identifier (ID). University numbered from 1 to N. Each student has their own As a result of recent achievements, . ith student received C; coupons from the university. For each of the received coupon, the student must write a student's ID on the back of the coupon. The written ID might belong to the student themselves or another student. However, the university enforces that the ith student cannot write the jth student's ID if the difference between i and j is more than one, i.e. |i – j|> 1. Jniversity wants to distribute coupons to their students. The After all the students have written a student's ID on the back of each coupon, all coupons are then collected by the university. The university then grants a prize to each student whose ID is written on at least one coupon. For example, let N = 4 and C1.4 = {3,0, 1,0}. The first student can write the second student's ID on two of their coupons, and write the first student's ID on the remaining coupon. • The third student can write the fourth student's ID on their coupon. • Therefore, the first, second, and fourth students get at least one prize. The students want to write the student's ID such that the number of distinct students who get a prize is maximized. The students studying at BINUS University are known to be selfless, so they might not write their own ID and write other's ID instead if it can increase the number of students who will get a prize. Your task is to determine the maximum number of students who will get a prize.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Sample Output #1 3 Explanation for the sample input/output #1 This is the example from the problem description. Sample Input #2 6 1 1 1 1 1 1 Sample Output #2 6. Explanation for the sample input/output #2 Since each student received a coupon, they simply need to write their own ID on the back of their coupon. Sample Input #3 6. 0 2 0 0 3 1 Sample Output # 3
Transcribed Image Text:Sample Output #1 3 Explanation for the sample input/output #1 This is the example from the problem description. Sample Input #2 6 1 1 1 1 1 1 Sample Output #2 6. Explanation for the sample input/output #2 Since each student received a coupon, they simply need to write their own ID on the back of their coupon. Sample Input #3 6. 0 2 0 0 3 1 Sample Output # 3
There are N students studying at :. , University numbered from 1 to N. Each student has their own unique identifier (ID). As a result of recent achievements, . Jniversity wants to distribute coupons to their students. The ith student received C; coupons from the university. For each of the received coupon, the student must write a student's ID on the back of the coupon. The written ID might belong to the student themselves or another student. However, the university enforces that the ith student cannot write the jth student's ID if the difference between i and j is more than one, i.e. i – jl> 1. After all the students have written a student's ID on the back of each coupon, all coupons are then collected by the university. The university then grants a prize to each student whose ID is written on at least one coupon. For example, let N = 4 and C1.4 = {3,0,1,0}. • The first student can write the second student's ID on two of their coupons, and write the first student's ID on the remaining coupon. • The third student can write the fourth student's ID on their coupon. • Therefore, the first, second, and fourth students get at least one prize. The students want to write the student's ID such that the number of distinct students who get a prize is maximized. The students studying at BINUS University are known to be selfless, so they might not write their own ID and write other's ID instead if it can increase the number of students who will get a prize. Your task is to determine the maximum number of students who will get a prize. Input Input begins with a line containing an integer: N (1 < N < 100000) representing the number of students. The next line contains N integers: C; (0 < C; < 3) representing the number of received coupons. Output Output in a line an integer representing the maximum number of students who will get a prize. Sample Input #1 4 3 0 1 0
Transcribed Image Text:There are N students studying at :. , University numbered from 1 to N. Each student has their own unique identifier (ID). As a result of recent achievements, . Jniversity wants to distribute coupons to their students. The ith student received C; coupons from the university. For each of the received coupon, the student must write a student's ID on the back of the coupon. The written ID might belong to the student themselves or another student. However, the university enforces that the ith student cannot write the jth student's ID if the difference between i and j is more than one, i.e. i – jl> 1. After all the students have written a student's ID on the back of each coupon, all coupons are then collected by the university. The university then grants a prize to each student whose ID is written on at least one coupon. For example, let N = 4 and C1.4 = {3,0,1,0}. • The first student can write the second student's ID on two of their coupons, and write the first student's ID on the remaining coupon. • The third student can write the fourth student's ID on their coupon. • Therefore, the first, second, and fourth students get at least one prize. The students want to write the student's ID such that the number of distinct students who get a prize is maximized. The students studying at BINUS University are known to be selfless, so they might not write their own ID and write other's ID instead if it can increase the number of students who will get a prize. Your task is to determine the maximum number of students who will get a prize. Input Input begins with a line containing an integer: N (1 < N < 100000) representing the number of students. The next line contains N integers: C; (0 < C; < 3) representing the number of received coupons. Output Output in a line an integer representing the maximum number of students who will get a prize. Sample Input #1 4 3 0 1 0
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