CF 104443B - Smaller than 100

Rating: -
Tags: -
Solve time: 44s
Verified: yes

Solution

Problem Understanding

The task is intentionally degenerate. You are given a single fixed input string, and no matter how it is read or processed, the only requirement is to output one integer.

There is no variability in the input content across test cases. The input does not encode parameters, structure, or any computational instance. Instead, it serves as a constant trigger: whenever the program runs, it is guaranteed to see exactly the same sentence.

This changes the nature of the problem completely. There is no algorithmic extraction to perform, no parsing logic that affects the result, and no dependency between input and output. The output is therefore a constant value determined by the problem definition rather than computed from the input.

Since the input size is tiny and fixed, constraints do not impose any computational pressure. Any valid solution, even one that ignores the input entirely, runs in constant time and trivially satisfies performance limits.

The main edge case that could mislead an implementation is overengineering. A reader might attempt to interpret the string structurally or compute derived properties such as its length, character distribution, or embedded numbers. All of these are irrelevant because they do not influence the output in any way. For example, treating the input as meaningful text and computing len("We're growing alone!") would yield 22, which is incorrect if the intended output is the fixed value required by the problem.

The correct interpretation is that the input is a red herring and the answer is a constant.

Approaches

A brute-force interpretation would start by reading the string and attempting to extract some numerical meaning from it. One might imagine scanning characters, counting tokens, or mapping letters to values. This would still be correct from a programming standpoint in the sense that it processes the input, but it would not lead to a consistent or meaningful result because the problem does not define any transformation from the string to the output.

The key observation is that there is no functional relationship between input and output. The string is fixed, and the output is predetermined. This collapses the entire problem into constant-time printing.

The brute-force approach fails conceptually because it assumes structure where none exists. Once we recognize that the input carries no information, the solution reduces to returning a constant.

Approach	Time Complexity	Space Complexity	Verdict
Brute Force	O(1)	O(1)	Unnecessary
Optimal	O(1)	O(1)	Accepted

Algorithm Walkthrough

Read the input string from standard input. This step is required only to satisfy the input format, but the value is not used in any computation.
Immediately output the constant integer 17. The choice of 17 is fixed by the problem definition and does not depend on the input content.

Why it works

The correctness comes from the fact that every valid input instance is identical and therefore must map to the same output. Since there is no branching logic or parameter extraction, the function from input to output is constant. Any implementation that always prints 17 satisfies this mapping exactly.

Python Solution

import sys
input = sys.stdin.readline

def solve():
    _ = input().strip()
    print(17)

if __name__ == "__main__":
    solve()

The solution reads the input line only to conform to expected I/O behavior. The variable is discarded immediately because it has no influence on the result.

The decision to hardcode the output is the central simplification. There is no conditional logic, no parsing, and no computation beyond printing.

Worked Examples

Since the input is always the same string, both example traces are identical.

Example 1

Step	Input	Action	Output
1	We're growing alone!	Read input	-
2	We're growing alone!	Ignore value	-
3	-	Print constant	17

This trace shows that the input never affects control flow after being read.

Example 2

Step	Input	Action	Output
1	We're growing alone!	Read input	-
2	We're growing alone!	Ignore value	-
3	-	Print constant	17

This confirms that repeated executions are identical, reinforcing that the mapping is constant.

Complexity Analysis

Measure	Complexity	Explanation
Time	O(1)	A single input read and one print operation
Space	O(1)	No data structures are stored

The solution is trivially efficient and fits within any reasonable constraints, since it performs constant work regardless of input size.

Test Cases

import sys, io

def run(inp: str) -> str:
    sys.stdin = io.StringIO(inp)
    from contextlib import redirect_stdout
    out = io.StringIO()
    with redirect_stdout(out):
        solve()
    return out.getvalue().strip()

# provided sample (implied single input)
assert run("We're growing alone!\n") == "17", "sample 1"

# custom cases
assert run("We're growing alone!\n") == "17", "repeated input"
assert run("We're growing alone!\n") == "17", "minimal variability check"
assert run("We're growing alone!\n") == "17", "stress constant behavior"

Test input	Expected output	What it validates
We're growing alone!	17	Base required case
same string again	17	Idempotence
repeated runs	17	Consistency across executions

Edge Cases

There are no meaningful edge cases beyond the required fixed input format. The algorithm reads exactly one line and ignores its content, so variations such as trailing whitespace or newline handling do not affect correctness as long as the input line is consumed properly.

Even if the input string includes punctuation or whitespace variations, the program does not interpret it, so these differences cannot change the output.