[Teach people how to use bitcoins and earn in Bitcoin Club!A brand new way to make money from Bitcoin!]

Teach people how to use bitcoins and earn in Bitcoin Club!
A brand new way to make money from Bitcoin!

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Hi, I'm wondering how can I check balance of bitcoin address without to do query to blockchain.info
I want to do my own payment system for my website, I don't want to use third party site, this is the idea of bitcoin anyway - freedom.
So, it's easy for my to genarate bicoin address with bitcoinJS-lib, but how to check the balance of that address?

Is this possible with Bitcoin Full node, I readed an article about it, it can be done with bitcoind on my own VPS server, OK, I can run a VPS on digitalocean, but can I get balances of any address from it, and how fast it get the changes of the balance?

P.S. Sorry for my English.

First sorry for my English.
I would like to introduce you my idea for new kind virtual currency.
I like bitcoin, ish, because there is one deficiency - only people who can buy ASIC divice can mine it.
I think that everyone should be able to mine.
Such are supposed to be the world money. So all people will be equal each others.
So, instead computer power, we can use our brains.
The p2p system will produce CAPTCHA images and people have to recognize them and so the will receive coins
(randomly).

A CAPTCHA (an acronym for "Completely Automated Public Turing test to tell Computers and Humans Apart"),
is a type of challenge-response test used in computing to
determine whether or not the user is human.
source wikipedia

So, only people will be able to mine, not computers. Only human brain can recognize charachters from CAPTCHA image (in which chars are blurred,   
inverted ect.)

UPDATED:
The problem - everybody will read CAPTCHA and will win coins and will not work.
One solution - the chance to win coin must be low, otherwise they will find to much coins.
It must be something like jackpot. So people will try their lucky in their free time or
while they traveling in the metro for example. So they will have motivation to read CAPTCHAs.

Finally it's matter of disign. P2P system will control how much coins to produce and the big brains who design bitcoin, could design the new currency.
Everybody have limited time. The personal time is the value of such kind currency.


I would like to share and discuss my idea with this community.