Well, I don't know if muscular power is dependant on the area, it is probably not that simple.
Anyway, for the culture barbarians among us I have a nice 'lil story:
Chess, legend has it, originated in India. It is played on a board of 64 squares. A king called Sher Khan was so thrilled by the game that he ordered his army to find the inventor of the game. The inventor, a man called Buddhiram, was produced before the king - a simple-clad scholar who made his living by teaching.
"I wish to reward thee well for thy wonderful invention," the king greeted Buddhiram.
The scholar bowed
"I am rich and powerful enough, " the king continued, "to satisfy thy most cherished wish. Just name what thou would have and thou shall have it."
Buddhiram was silent.
...Yes but what has this got to do with viral marketing I hear you ask..patience young grasshopper, do read on...
"Don't be shy," the king encouraged him. "Say what thou would like to have. I shall spare nothing to satisfy thy wish."
"Thy kindness knows no bounds, O Sire," the scholar replied, "but first give me time to consider my reply. Tomorrow, after I have well thought about it, I shall tell thee my request."
The next day Buddhiram surprised the king with his extremely modest request.
"Sire," he said, "I would like to have one grain of rice for the first square of the chess board."
"A grain of ordinary rice?" the kings could hardly believe his ears.
"Yes sire, one for the first, two for the second, four for the third, eight for the fourth, sixteen for the fifth??."
"Enough," the king was irritated. "Thou shalt get thy grains for all the sixty-four squares of the chessboard as thou wishest; every day double the amount of the previous day. But know thou that thy request is unworthy of my generosity. By asking for such a trite reward, thou haste shown disrespect to me. Truly as a teacher thou could have shown a better example of respect for thy king's kindness. Go! My servants shall bring thee thy sack of grain."
Buddhiram smiled and went out, and then waited at the gate for his reward.
At dinner, the king remembered Buddhiram, and inquired whether the "foolhardy" inventor had been given his "niggardly" reward.
"Sire," the chief court mathematician said, "we have worked from morning to night to calculate the number of grains Buddhiram wants. It is tremendous indeed?.."
"However tremendous," the king interrupted him impatiently, "my granaries can easily stand it. The reward has been promised and must be paid!"
"It is not within thy power, O Sire, to satisfy Buddhiram's wish. Thy granaries do not hold the amount of grain Buddhiram has asked for. There is not that much grain in the whole kingdom; in fact in the whole world. And if thou must keep thy word, thou must order all the land in the world to be turned into rice fields, all the seas and oceans drained, all the ice and snow in the north melted. And if all this land is sown with rice, then perhaps there will be enough grain to give Buddhiram.
The king was awe-struck. "Name this giant number, " he said thoughtfully.
It is *** sire!" the mathematician said.
The question consists out of two parts:
1) Give the number masked by ***.
2) Give the shortest possible mathematic equation for this number.
