mateforum.ro

Cristin si Catalina s-au casatorit. Deoarece erau facuti unul pt altul, ei au avut in primul an de casatorie doi copii. In fiecare an au perechi de gemeni, amandoi fiind cu acelasi nume. Stiind ca in fiecare an au dublul nr de copii din anul precedent si ca au trecut 40 de ani de la casatoria celor doi, aflati care e numarul de nume ce se afla acum in aceasta familie nefericita (deoarece sunt prea multi copii).

Prea tare... Fereste-te de Catalina sau de Cristin...o sa te omoare. Dar presupun ca ei inca nu au vazut problema .
Revenind la ale noastre:
\( C \)(de la copii bineinteles)\( =2+2^2+2^3+...+2^{39} \)
\( C+2=2+2+2^2+2^3+...+2{39} \)
\( C+2=2^2+2^2+...+2{39} \)
\( C+2=2^2*2+2^3+...+2^{39} \)
\( C+2=2^3+2^3+... \)
\( C+2=2^3*2+... \)
.......................................
\( C+2=2^{39}*2 \)
\( C+2=2^{40} \)
\( C=2^{40}-2 \)
Am dedus ca cei 2 au 1,099,511,627,776-2 copii, adica 1.099.511.627.774 copii .

Pt ca mi-a placut, va dau si eu o problema.
Catalina si Cristin bla bla bla.
Ei au 999! copii. Cati copii au?
Iata raspunsul, tine-ti-va bine:
402,387,260,077,093,773,543,702,433,923,003,985,719,374,864,210,
714,632,543,799,910,429,938,512,398,629,020,592,044,208,486,
969,404,800,479,988,610,197,196,058,631,666,872,994,808,558,
901,323,829,669,944,590,997,424,504,087,073,759,918,823,627,
727,188,732,519,779,505,950,995,276,120,874,975,462,497,043,
601,418,278,094,646,496,291,056,393,887,437,886,487,337,119,
181,045,825,783,647,849,977,012,476,632,889,835,955,735,432,
513,185,323,958,463,075,557,409,114,262,417,474,349,347,553,
428,646,576,611,667,797,396,668,820,291,207,379,143,853,719,
588,249,808,126,867,838,374,559,731,746,136,085,379,534,524,
221,586,593,201,928,090,878,297,308,431,392,844,403,281,231,
558,611,036,976,801,357,304,216,168,747,609,675,871,348,312,
025,478,589,320,767,169,132,448,426,236,131,412,508,780,208,
000,261,683,151,027,341,827,977,704,784,635,868,170,164,365,
024,153,691,398,281,264,810,213,092,761,244,896,359,928,705,
114,964,975,419,909,342,221,566,832,572,080,821,333,186,116,
811,553,615,836,546,984,046,708,975,602,900,950,537,616,475,
847,728,421,889,679,646,244,945,160,765,353,408,198,901,385,
442,487,984,959,953,319,101,723,355,556,602,139,450,399,736,
280,750,137,837,615,307,127,761,926,849,034,352,625,200,015,
888,535,147,331,611,702,103,968,175,921,510,907,788,019,393,
178,114,194,545,257,223,865,541,461,062,892,187,960,223,838,
971,476,088,506,276,862,967,146,674,697,562,911,234,082,439,
208,160,153,780,889,893,964,518,263,243,671,616,762,179,168,
909,779,911,903,754,031,274,622,289,988,005,195,444,414,282,
012,187,361,745,992,642,956,581,746,628,302,955,570,299,024,
324,153,181,617,210,465,832,036,786,906,117,260,158,783,520,
751,516,284,225,540,265,170,483,304,226,143,974,286,933,061,
690,897,968,482,590,125,458,327,168,226,458,066,526,769,958,
652,682,272,807,075,781,391,858,178,889,652,208,164,348,344,
825,993,266,043,367,660,176,999,612,831,860,788,386,150,279,
465,955,131,156,552,036,093,988,180,612,138,558,600,301,435,
694,527,224,206,344,631,797,460,594,682,573,103,790,084,024,
432,438,465,657,245,014,402,821,885,252,470,935,190,620,929,
023,136,493,273,497,565,513,958,720,559,654,228,749,774,011,
413,346,962,715,422,845,862,377,387,538,230,483,865,688,976,
461,927,383,814,900,140,767,310,446,640,259,899,490,222,221,
765,904,339,901,886,018,566,526,485,061,799,702,356,193,897,
017,860,040,811,889,729,918,311,021,171,229,845,901,641,921,
068,884,387,121,855,646,124,960,798,722,908,519,296,819,372,
388,642,614,839,657,382,291,123,125,024,186,649,353,143,970,
137,428,531,926,649,875,337,218,940,694,281,434,118,520,158,
014,123,344,828,015,051,399,694,290,153,483,077,644,569,099,
073,152,433,278,288,269,864,602,789,864,321,139,083,506,217,
095,002,597,389,863,554,277,196,742,822,248,757,586,765,752,
344,220,207,573,630,569,498,825,087,968,928,162,753,848,863,
396,909,959,826,280,956,121,450,994,871,701,244,516,461,260,
379,029,309,120,889,086,942,028,510,640,182,154,399,457,156,
805,941,872,748,998,094,254,742,173,582,401,063,677,404,595,
741,785,160,829,230,135,358,081,840,096,996,372,524,230,560,
855,903,700,624,271,243,416,909,004,153,690,105,933,983,835,
777,939,410,970,027,753,472,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,000 copii.

Virgula reprezinta punctul care desparte intre ele grupele de cate 3 cifre.

Am o singura intrebare: Catalina si Cristin sunt doua virusuri, cumva? Dupa numarul de progenituri, asa s-ar parea...

Nu stiu dar imi place cum ganditi . Niste virusuri? Interesant...

Totusi prea extavaganta... poate is viermi paraziti ca si tenia sau...

Cum adica 999! ?

999 factorial , adica 1 x 2 x 3 x....x999

Nu...nu sunt niste virusi...sunt niste personaje din romanele SF de dragoste scrise de mihaela (belutza)
999! se citeste 999 factorial si inseamna \( 1*2*3*...*999 \)
\( a!=1*2*3*...*a \)