HTML törzs:
<html>
<head>
<title>Feladat</title>
</head>
<body>
<script type="text/javascript">
// ide jön a javascript kód
</script>
</body>
</html>
1. Értékesjegyek
Adott egy érték és egy bizonytalanság. Írj egy függvényt, ami a bizonytalanságnak megfelelő értékesjegyre írja ki a számot az alábbi példáknak megfelelően:
154.458845 ± 0.02 eredmény: 154.46(2)
25.7856942 ± 0.0005 eredmény: 25.7857(5)
Tipp: .toFixed() paranccsal lehet kerekíteni a számokat; pl. var val = 25.4589645; document.write(val.toFixed(3)); eredménye: 25.459
2. Páros számok
Írj egy kódot, ami bekéri, hogy hány páros számot írjon ki a képernyőre (prompt() parancs), majd megjeleníti azokat és kiszámolja azok összegét!
3. Számpiramis
Írj egy kódot, ami bekéri, hogy meddig épüljön a számpiramis, majd megjeleníti a piramist az alábbi minta szerint (annyiszor írod ki a számot amekkora az értéke)!
1 2 2 3 3 3 4 4 4 4
4. Sorok összeg
Hova konvergálnak az alábbi sorok:
∑ 1/(n*(n+1))
∑ 1/((2n-1)(2n+1))
∑ 1/((n-1)(n+1))
5. Floyd háromszög
Írj egy kódot, ami megjeleníti Floyd háromszöget:
1 01 101 0101 10101
6. Sor összeg
Írj egy kódot, ami meghatározza a 1+x+x^2/2!+x^3/3!+... sornak az összegét, ha x = 3 és az első 50 tagot vesszük figyelembe!
7. Tökéletes szám
Írj egy kódot, ami bekér egy számot és eldönti, hogy tökéletes szám-e! Egy szám tökéletes, ha osztóinak összege megadja a számot. Pl. a 6 tökéletes szám, mert 1+2+3 = 6
Tipp: String to integer: var a = parseInt("10"); és Integer to String var n = number.toString();
8. Tökéletes számok
Találd meg az első 4 tökéletes számot (lsd. 7. feladat)!
9. Armstrong szám
Írj egy kódot, ami bekér egy számot és eldönti, hogy Armstrong szám-e! Egy számot Armstrong számnak nevezzünk, ha számjegyeinek köbének összeg megadja a számot. Pl. a 153 Armstrong szám, mert 1^3 + 5^3+ 3^3 = 1+125+27 = 153
10. Armstrong számok
Találd meg az első 4 Armstrong számot (lsd. 9. feladat)!
11. Pascal háromszög
Írj egy kódot, ami megjeleníti Pascal háromszöget:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
12. palindrom szám
Írj egy kódot, ami bekér egy számot és eldönti, hogy palindrom-e! Pl. 121 palindrom.
13. Erős szám
Írj egy kódot, ami bekér egy számot és eldönti, hogy Erős szám-e! Egy számot Erős számnak nevezzünk, ha számjegyeinek faktoriálisának összeg megadja a számot. Pl. a 145 Erős szám, mert 1! + 4!;+ 5! = =1+24+120 = 145
14. Hiányzó elem
Írj egy kódot, ami megtalálja a tömb legkisebb hiányzó elemét, feltételezve, hogy sorrendben vannak a számok! Pl. ha var array = [0, 1, 3, 4, 5, 6, 7, 9], akkor a megoldás 2. Mi az alábbi tömb legkisebb hiányzó eleme?
<html>
<head>
<title>Feladat</title>
</head>
<body>
<script type="text/javascript">
var array = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000];
</script>
</body>
</html>
15. Három azonos
Az alábbi tömbben (ami nincs rendzve) mely számok szerepelnek háromszor?
<html>
<head>
<title>Feladat</title>
</head>
<body>
<script type="text/javascript">
var array2 = [1,2,3,4,5,6,7,198,8,9,11,10,12,13,14,15,16,17,5,18,19,20,21,22,23,24,25,27,100,28,29,30,31,32,33,34,35,36,37,312,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,608,307,308,309,310,311,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,968,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,26,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,970,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,293,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,293,601,602,603,604,605,606,607,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,20,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,970,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,20,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000];
</script>
</body>
</html>
16. Minimum összeg
Az alábbi tömbben mely két számnak az összege esik legközelebb nullához?
<html>
<head>
<title>Feladat</title>
</head>
<body>
<script type="text/javascript">
var array3 = [-104, 85, -77, -117, -171, 74, -1, -4, 161, 82, -156, -145, 2, 66, 35, -186, -195, -129, -91, -166, -47, -120, 43, -80, 174, 49, -86, -60, -105];
</script>
</body>
</html>
17. Hiányzó pozítiv szám
Az alábbi tömbben melyik a legkisebb, pozítiv hiányzó szám?
<html>
<head>
<title>Feladat</title>
</head>
<body>
<script type="text/javascript">
var array4 = [3, 1, 4, 10, -5, 15, 2, -10, -20 ];
</script>
</body>
</html>
18. Hiányzó pozítiv szám
Írj egy kódot, ami előállítja két tömb unióját! PL. union([1, 2, 3], [100, 2, 1, 10]) = [1, 2, 3, 10, 100]