BrainDen.com - Brain Teasers # Anza Power

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1. Anza Power's post in building a bridge was marked as the answer
You might've misunderstood me a little bit, I should have detailed a bit more, let the river be of width 1 unit, align the axis such that the x axis is parallel with and centered the river, in other words the river would be the area -0.5<y<0.5, now "removing" the river means collapsing it and so every point that was below it now goes up by 0.5 units and every point above it goes doen 0.5 units...
2. Anza Power's post in Sharing a sandwhich was marked as the answer
You mean show that for any shape there exists a direction such that if you slice through it you get two equal halves?

3. Anza Power's post in Pages are missing was marked as the answer
4. Anza Power's post in Lychrel was marked as the answer
Code:

#include <iostream> #define BUF_SIZE 100 using namespace std; void putInArray(int num, int* buf){ for(int i=0;i<BUF_SIZE;i++){ buf[i] = num % 10; num = num / 10; } } bool isPalindrom(int* buf){ int i=0, j=BUF_SIZE-1; while(buf[j]==0 && j>0){ j--; } while(i<j){ if(buf[i] != buf[j]){ return false; } i++; j--; } return true; } void applyIteration(int* buf){ int i=0, j=BUF_SIZE-1; while(buf[j]==0 && j>0){ j--; } while(i<=j){ int temp = buf[i] + buf[j]; buf[i++] = temp; buf[j--] = temp; } for(int i=0;i<BUF_SIZE-1;i++){ buf[i+1] += buf[i] / 10; buf[i] = buf[i] % 10; } } bool isLychrel(int* buf){ for(int i=1;i<50;i++){ applyIteration(buf); if(isPalindrom(buf)){ return false; } } return true; } int main() { int buf[BUF_SIZE]; for(int num=0;num<10000;num++){ putInArray(num,buf); if(isLychrel(buf)){ cout << num << " is Lychrel " << endl; } } }
5. Anza Power's post in Slicing a Pizza Randomly was marked as the answer
6. Anza Power's post in Bouncing Point was marked as the answer
I have a proof:

7. Anza Power's post in Eddie the eccentric elder was marked as the answer
8. Anza Power's post in n-colored straight lines on painted plane was marked as the answer
9. Anza Power's post in Impossible became possible was marked as the answer
10. Anza Power's post in Amoeba evacuation puzzle was marked as the answer
Yeah I think that is correct, here's why:

11. Anza Power's post in The traveling ant was marked as the answer
I think your first sentence is wrong

But you can put it another way:

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