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#pragma comment(linker, "/STACK:10240000")
#include <map>
#include <set>
#include <cmath>
#include <ctime>
#include <deque>
#include <queue>
#include <stack>
#include <vector>
#include <cstdio>
#include <string>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;
#define X first
#define Y second
#define pb push_back
#define mp make_pair
#define all(a) (a).begin(), (a).end()
#define fillchar(a, x) memset(a, x, sizeof(a))
#define copy(a, b) memcpy(a, b, sizeof(a))
typedef long long ll;
typedef pair<int, int> pii;
typedef unsigned long long ull;
#ifndef ONLINE_JUDGE
void RI(vector<int>&a,int n){a.resize(n);for(int i=;i<n;i++)scanf("%d",&a[i]);}
void RI(){}void RI(int&X){scanf("%d",&X);}template<typename...R>
void RI(int&f,R&...r){RI(f);RI(r...);}void RI(int*p,int*q){int d=p<q?:-;
while(p!=q){scanf("%d",p);p+=d;}}void print(){cout<<endl;}template<typename T>
void print(const T t){cout<<t<<endl;}template<typename F,typename...R>
void print(const F f,const R...r){cout<<f<<", ";print(r...);}template<typename T>
void print(T*p, T*q){int d=p<q?:-;while(p!=q){cout<<*p<<", ";p+=d;}cout<<endl;}
#endif
template<typename T>bool umax(T&a, const T&b){return b<=a?false:(a=b,true);}
template<typename T>bool umin(T&a, const T&b){return b>=a?false:(a=b,true);}
const double PI = acos(-1.0);
const int INF = 1e9 + ;
const double EPS = 1e-12;
/* -------------------------------------------------------------------------------- */
struct BigInt {
const static int maxI = 1e8;
const static int Len = ;
typedef vector<int> vi;
typedef long long LL;
vi num;
bool symbol;
BigInt() {
num.clear();
symbol = ;
}
BigInt(int x) {
symbol = ;
if (x < ) {
symbol = ;
x = -x;
}
num.push_back(x % maxI);
if (x >= maxI) num.push_back(x / maxI);
}
BigInt(bool s, vi x) {
symbol = s;
num = x;
}
BigInt(char s[]) {
int len = strlen(s), x = , sum = , p = s[] == '-';
symbol = p;
for (int i = len - ; i >= p; i--) {
sum += (s[i] - '0') * x;
x *= ;
if (x == 1e8 || i == p) {
num.push_back(sum);
sum = ;
x = ;
}
}
while (num.back() == && num.size() > ) num.pop_back();
}
void push(int x) {
num.push_back(x);
}
BigInt abs() const {
return BigInt(false, num);
}
bool smaller(const vi &a, const vi &b) const {
if (a.size() != b.size()) return a.size() < b.size();
for (int i = a.size() - ; i >= ; i--) {
if (a[i] != b[i]) return a[i] < b[i];
}
return ;
}
bool operator < (const BigInt &p) const {
if (symbol && !p.symbol) return true;
if (!symbol && p.symbol) return false;
if (symbol && p.symbol) return smaller(p.num, num);
return smaller(num, p.num);
}
bool operator > (const BigInt &p) const {
return p < *this;
}
bool operator == (const BigInt &p) const {
return !(p < *this) && !(*this < p);
}
bool operator != (const BigInt &p) const {
return *this < p || p < *this;
}
bool operator >= (const BigInt &p) const {
return !(*this < p);
}
bool operator <= (const BigInt &p) const {
return !(p < *this);
}
vi add(const vi &a, const vi &b) const {
vi c;
c.clear();
int x = ;
for (int i = ; i < a.size(); i++) {
x += a[i];
if (i < b.size()) x += b[i];
c.push_back(x % maxI);
x /= maxI;
}
for (int i = a.size(); i < b.size(); i++) {
x += b[i];
c.push_back(x % maxI);
x /= maxI;
}
if (x) c.push_back(x);
while (c.back() == && c.size() > ) c.pop_back();
return c;
}
vi sub(const vi &a, const vi &b) const {
vi c;
c.clear();
int x = ;
for (int i = ; i < b.size(); i++) {
x += maxI + a[i] - b[i] - ;
c.push_back(x % maxI);
x /= maxI;
}
for (int i = b.size(); i < a.size(); i++) {
x += maxI + a[i] - ;
c.push_back(x % maxI);
x /= maxI;
}
while (c.back() == && c.size() > ) c.pop_back();
return c;
}
vi mul(const vi &a, const vi &b) const {
vi c;
c.resize(a.size() + b.size());
for (int i = ; i < a.size(); i++) {
for (int j = ; j < b.size(); j++) {
LL tmp = (LL)a[i] * b[j] + c[i + j];
c[i + j + ] += tmp / maxI;
c[i + j] = tmp % maxI;
}
}
while (c.back() == && c.size() > ) c.pop_back();
return c;
}
vi div(const vi &a, const vi &b) const {
vi c(a.size()), x(, ), y(, ), z(, ), t(, );
y.push_back();
for (int i = a.size() - ; i >= ; i--) {
z[] = a[i];
x = add(mul(x, y), z);
if (smaller(x, b)) continue;
int l = , r = maxI - ;
while (l < r) {
int m = (l + r + ) >> ;
t[] = m;
if (smaller(x, mul(b, t))) r = m - ;
else l = m;
}
c[i] = l;
t[] = l;
x = sub(x, mul(b, t));
}
while (c.back() == && c.size() > ) c.pop_back();
return c;
}
BigInt operator + (const BigInt &p) const {
if (!symbol && !p.symbol) return BigInt(false, add(num, p.num));
if (!symbol && p.symbol) {
return *this >= p.abs() ?
BigInt(false, sub(num, p.num)) : BigInt(true, sub(p.num, num));
}
if (symbol && !p.symbol) {
return (*this).abs() > p ?
BigInt(true, sub(num, p.num)) : BigInt(false, sub(p.num, num));
}
return BigInt(true, add(num, p.num));
}
BigInt operator - (const BigInt &p) const {
return *this + BigInt(!p.symbol, p.num);
}
BigInt operator * (const BigInt &p) const {
BigInt res(symbol ^ p.symbol, mul(num, p.num));
if (res.symbol && res.num.size() == && res.num[] == )
res.symbol = false;
return res;
}
BigInt operator / (const BigInt &p) const {
if (p == BigInt()) return p;
BigInt res(symbol ^ p.symbol, div(num, p.num));
if (res.symbol && res.num.size() == && res.num[] == )
res.symbol = false;
return res;
}
BigInt operator % (const BigInt &p) const {
return *this - *this / p * p;
}
void show() const {
if (symbol) putchar('-');
printf("%d", num[num.size() - ]);
for (int i = num.size() - ; i >= ; i--) {
printf("%08d", num[i]);
}
//putchar('\n');
}
int TotalDigit() const {
int x = num[num.size() - ] / , t = ;
while (x) {
x /= ;
t++;
}
return t + (num.size() - ) * Len;
}
};
template<typename T>
T gcd(T a, T b) {
return b == ? a : gcd(b, a % b);
}
template<typename T>
struct Fraction {
T a, b;
Fraction(T a, T b) {
T g = gcd(a, b);
this->a = a / g;
this->b = b / g;
if (this->b < ) {
this->a = this->a * T(- );
this->b = this->b * T(- );
}
}
Fraction(T a) {
this->a = a;
this->b = ;
}
Fraction() {}
Fraction operator + (const Fraction &that) const {
T x = a * that.b + b * that.a, y = b * that.b;
return Fraction(x, y);
}
Fraction operator - (const Fraction &that) const {
T x = a * that.b - b * that.a, y = b * that.b;
return Fraction(x, y);
}
Fraction operator * (const Fraction &that) const {
T x = a * that.a, y = b * that.b;
return Fraction(x, y);
}
Fraction operator / (const Fraction &that) const {
T x = a * that.b, y = b * that.a;
return Fraction(x, y);
}
Fraction operator += (const Fraction &that) {
return *this = *this + that;
}
Fraction operator -= (const Fraction &that) {
return *this = *this - that;
}
Fraction operator *= (const Fraction &that) {
return *this = *this * that;
}
Fraction operator /= (const Fraction &that) {
return *this = *this / that;
}
Fraction operator ! () const {
return Fraction(b, a);
}
bool operator == (const Fraction &that) const {
return a == that.a && b == that.b;
}
bool operator != (const Fraction &that) const {
return a != that.a || b != that.b;
}
};
template<typename T>
T getInt(Fraction<T> a, T d, Fraction<T> b) {
T Min = , Max;
Fraction<T> buf = a * d + b;
Max = buf.a / buf.b;
while (Min < Max) {
T Mid = (Min + Max + ) / ;
buf = (b - Mid) * (b - Mid);
buf = buf / a / a;
if (buf.a <= buf.b * d) Min = Mid;
else Max = Mid - ;
}
return Min;
}
void work(int n) {
int k = (int)sqrt(n + 0.5);
if (k * k == n) {
printf("no solution");
return ;
}
Fraction<BigInt> a(), b(), aa, bb;
BigInt d(n);
vector<BigInt> R;
BigInt t = getInt(a, d, b);
aa = a / (a * a * d - (b - t) * (b - t));
bb = (b - t) * BigInt(- ) / (a * a * d - (b - t) * (b - t));
a = aa;
b = bb;
do {
R.pb(t);
t = getInt(a, d, b);
aa = a / (a * a * d - (b - t) * (b - t));
bb = (b - t) * BigInt(- ) / (a * a * d - (b - t) * (b - t));
a = aa;
b = bb;
} while (t != R[] * );
Fraction<BigInt> ans(R[R.size() - ]);
for (int i = ; i < R.size(); i ++) {
ans = !ans + R[R.size() - i - ];
}
BigInt x0 = ans.a, y0 = ans.b;
if (R.size() & ) {
x0 = ans.a * ans.a * + ;
y0 = ans.a * ans.b * ;
}
x0.show();
}
int main() {
#ifndef ONLINE_JUDGE
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
#endif // ONLINE_JUDGE
int n;
puts("char ans[][100] = {\"\", ");
for (int i = ; i <= ; i ++) {
printf("\"");
work(i);
printf("\", ");
if (i % == ) puts("");
}
puts("\n};");
return ;
}
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