Digital Speedometer

A digital speedometer shows a vehicle’s speed as integer miles per hour. There are occasions when the sensed speed varies between two integer values, such as during cruise control. Using a single threshold to round between adjacent integers often makes the display toggle rapidly between the two integers, which is distracting to the driver.

Your team must implement a smoothing technique for the display using separate rising and falling thresholds ( $t_{r}$ and $t_{f}$ , $t_{f} \lt t_{r}$ , respectively). See Figure $1$ for a graphical depiction of the Sample Input for use with the following rules.

Each sensed speed, $s$ , falls between two adjacent integers $i$ and $j$ , $i \leq s \lt j$ , where $j = i + 1$ . When displaying the sensed speed $s$ as an integer:

When $s$ falls between $i$ and $i + t_{f}$ , $s$ is displayed as $i$ .
When $s$ falls between $i + t_{r}$ and $j$ , $s$ is displayed as $j$ .
When $s$ falls between $i + t_{f}$ and $i + t_{r}$ , $s$ is displayed as $i$ if the most recent preceding value for $s$ outside of range $[i + t_{f} , i + t_{r}]$ is less than $i + t_{r}$ , and $s$ is displayed as $j$ if the most recent preceding value for $s$ outside of range [i + tf , i + tr] is greater than $i + t_{r}$ .
Any sensed speed, $0 \lt s \lt 1$ , must display as $1$ because any non-zero speed, no matter how small, must display as non-zero to indicate that the vehicle is in motion.

The first line of input contains $t_{f}$ , the falling threshold. The second line of input contains $t_{r}$ , the rising threshold. Thespeed sensor reports $s$ in increments of $0.1$ mph. The thresholds are always set halfway between speed increments.All remaining lines until end-of-file are successive decimal speeds, $s$ , in miles per hour, one speed per line. The thirdline of input, which is the first measured speed, will always be $0$ . There are at most $1000$ observed speeds $s$ in input.

$0 \lt t_{f} , t_{r} \lt 1; t_{f} \lt t_{r}; 0 \leq s \leq 120$

#include <bits/stdc++.h> using namespace std; double tf, tr, s, ans; int main() { cin >> tf >> tr; while(cin>>s) { int i = s, j = i+1; if(s == 0) ans = 0; else if(s < 1) ans = 1; else if(i <= s && s < i+tf) ans = i; else if(i+tr < s && s <= j) ans = j; else if(ans < i+tr) ans = i; else ans = j; cout << ans << endl; } }

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