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I'm a programmer, so I drink a lot of coke. To amuse myself, I place the empty cans in a series of stacks, all in a straight line. When I view this series of stacks from the front, I can't always see all the cans, or even all of the stacks, because sometimes a stack can be entirely obscured by a larger stack. When I view the series of stacks from the front, I can infer a minimum number of total cans. I can see each stack that is strictly larger than all the stacks between it and the front of the structure. For each stack I can see, I know how many cans are used to construct that stack. I then total up the number of cans that I know must exist: let's call this number A. I then say I infer A cans in this structure. Let's look at an example. Suppose a series of stacks has the following stack sizes, in order from the front to the back: {1, 4, 3, 4, 6, 6, 2). I'm able to infer 11 cans from this series: I can see the first, second, and fifth stacks (with 1, 4 and 6 cans respectively). I can't see either the third or fourth stack (of size 3 and 4) because they are obscured by the second stack, and I can't see the last two stacks (of size 6 and 2) because the fifth stack is in the way. Can you write a program that takes a series of stacks, and tells me how many cans I can infer ? Input Specification: The input consists of a series of test cases, one per line. Each line begins with an integer N, the number of stacks, followed by N integers representing the sizes of the stacks from front to back. The input ends on EOF. There are never more than 50 stacks of coke, and no stack has more than 50 cans. Output Specification: For each test case output a single number: the number of cans that I can infer. Sample Input: 71434662 Sample Output: 11

I'm a programmer, so I drink a lot of coke. To amuse myself, I place the empty cans in a series of stacks, all in a straight line. When I view this series of stacks from the front, I can't always see all the cans, or even all of the stacks, because sometimes a stack can be entirely obscured by a larger stack. When I view the series of stacks from the front, I can infer a minimum number of total cans. I can see each stack that is strictly larger than all the stacks between it and the front of the structure. For each stack I can see, I know how many cans are used to construct that stack. I then total up the number of cans that I know must exist: let's call this number A. I then say I infer A cans in this structure. Let's look at an example. Suppose a series of stacks has the following stack sizes, in order from the front to the back: {1, 4, 3, 4, 6, 6, 2). I'm able to infer 11 cans from this series: I can see the first, second, and fifth stacks (with 1, 4 and 6 cans respectively). I can't see either the third or fourth stack (of size 3 and 4) because they are obscured by the second stack, and I can't see the last two stacks (of size 6 and 2) because the fifth stack is in the way. Can you write a program that takes a series of stacks, and tells me how many cans I can infer ? Input Specification: The input consists of a series of test cases, one per line. Each line begins with an integer N, the number of stacks, followed by N integers representing the sizes of the stacks from front to back. The input ends on EOF. There are never more than 50 stacks of coke, and no stack has more than 50 cans. Output Specification: For each test case output a single number: the number of cans that I can infer. Sample Input: 71434662 Sample Output: 11

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
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I'm a programmer, so I drink a lot of coke. To amuse myself, I place the empty cans in a series of stacks, all in a straight line. When I view this series of stacks from the front, I can't always see all the cans, or even all of the stacks, because sometimes a stack can be entirely obscured by a larger stack. When I view the series of stacks from the front, I can infer a minimum number of total cans. I can see each stack that is strictly larger than all the stacks between it and the front of the structure. For each stack I can see, I know how many cans are used to construct that stack. I then total up the number of cans that I know must exist: let's call this number A. I then say I infer A cans in this structure. Let's look at an example. Suppose a series of stacks has the following stack sizes, in order from the front to the back: {1, 4, 3, 4, 6, 6, 2}. I'm able to infer 11 cans from this series: I can see the first, second, and fifth stacks (with 1, 4 and 6 cans respectively). I can't see either the third or fourth stack (of size 3 and 4) because they are obscured by the second stack, and I can't see the last two stacks (of size 6 and 2) because the fifth stack is in the way. Can you write a program that takes a series of stacks, and tells me how many cans I can infer ? Input Specification: The input consists of a series of test cases, one per line. Each line begins with an integer N, the number of stacks, followed by N integers representing the sizes of the stacks from front to back. The input ends on EOF. There are never more than 50 stacks of coke, and no stack has more than 50 cans. Output Specification: For each test case output a single number: the number of cans that I can infer. Sample Input: 71434662 Sample Output: 11
Transcribed Image Text:I'm a programmer, so I drink a lot of coke. To amuse myself, I place the empty cans in a series of stacks, all in a straight line. When I view this series of stacks from the front, I can't always see all the cans, or even all of the stacks, because sometimes a stack can be entirely obscured by a larger stack. When I view the series of stacks from the front, I can infer a minimum number of total cans. I can see each stack that is strictly larger than all the stacks between it and the front of the structure. For each stack I can see, I know how many cans are used to construct that stack. I then total up the number of cans that I know must exist: let's call this number A. I then say I infer A cans in this structure. Let's look at an example. Suppose a series of stacks has the following stack sizes, in order from the front to the back: {1, 4, 3, 4, 6, 6, 2}. I'm able to infer 11 cans from this series: I can see the first, second, and fifth stacks (with 1, 4 and 6 cans respectively). I can't see either the third or fourth stack (of size 3 and 4) because they are obscured by the second stack, and I can't see the last two stacks (of size 6 and 2) because the fifth stack is in the way. Can you write a program that takes a series of stacks, and tells me how many cans I can infer ? Input Specification: The input consists of a series of test cases, one per line. Each line begins with an integer N, the number of stacks, followed by N integers representing the sizes of the stacks from front to back. The input ends on EOF. There are never more than 50 stacks of coke, and no stack has more than 50 cans. Output Specification: For each test case output a single number: the number of cans that I can infer. Sample Input: 71434662 Sample Output: 11
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