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/*
date:107/10/13
author:Chen Yi Jing
人圍成圈,用質數去繞圈,質數數完被點到的人會被殺掉,求最後倖存者
1. TLE
*/
#include <iostream>
using namespace std;
int main() {
//將前 3500 個質數都算出來
int p[3502] = {0};
int number = 4;
int index = 3;
p[1] = 2;
p[2] = 3;
while (p[3501] == 0) {
for (int i = 2; i < number / 2 + 1; i++) {
if(number % i == 0) {
break;
}
if(i == number / 2) {
p[index] = number;
index++;
}
}
number++;
}
//輸入的部份
int n = 0;
int copy_n = 0;
while(cin >> n) {
copy_n = n;
int point = 0; //用來看現在數到哪個人
int counter = 0; //用來倒數質數的
int num[n + 1]; //某人是否存活 1:活 0:死
//初始化為 1
for (int k = 0; k <= n; k++) {
num[k] = 1;
}
if (n == 0)
break;
while (n > 1) { // 存活人數 > 一人
for (int i = 1; i < 3501; i++) {
if (p[i] % n != 0) {
counter = p[i] % n; //如果質數相對人數很大取餘數就好
}
else {
counter = n;
}
// cout << "質數 " << counter << endl;
while (counter > 0) {
if (point == copy_n) {
point = 0;
}
if (num[point + 1] == 1) {
counter--;
point++;
}
else {
point++;
}
if (counter == 0) {
num[point] = 0; //第 point 人被殺
n = n - 1; //總人數少 1
// cout << "人數 " << n << endl;
}
}
// cout << "被殺 " << point << endl;
// cout <<"---------------"<< endl;
if (n == 1)
break;
}
//輸出最後倖存者
if (n == 1) {
for (int i = 1; i <= copy_n; i++) {
if (num[i] == 1)
cout << i << endl;
}
}
}
}
cout << endl;
}