Wednesday, 6 January 2016

UVa 11254 - Consecutive Integers

//\\__ hr1212 __//\\

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef vector<int> vi;
typedef pair<int,int> pii;
typedef map<int,int> mi;

#define si(a) scanf("%lld",&a)
#define sii(a,b) scanf("%lld %lld",&a,&b)
#define siii(a,b,c) scanf("%lld %lld %lld",&a,&b,&c)
#define pi(a) printf("%d\n",a)
#define nl printf("\n");
#define pb push_back
#define mp make_pair
#define all(c) (c).begin(),(c).end()
#define f(i,a,b) for(i=a;i<b;i++)
#define rf(i,a,b) for(i=a;i>=b;i--)
#define clr(x,a) memset(x,a,sizeof(x))
#define MAX 1000100
#define MOD 1000000007

ll n,m;

//(Sn=(n/2)*(2*a+(n-1)*d));

int main(){
    ll r,k,i,c=0,x=0,y=0,j,t,l,z,x1=0,y1=0;
    ll ans=0;string p;

    while(1){
        si(m);
        if(m==-1)
            break;
        for(n=2*(int)(sqrt(m));n>=1;n--){
            z=(2*m+n-n*n);
            y=2*n;
            if(z%y==0 && z/y!=0 && z>0 && y>0){
                x=z/y;
                break;
            }
        }
        printf("%lld = %lld + ... + %lld\n",m,x,x+n-1);
    }

    return 0;
}

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