空いている最小の椅子の数 1-PHPチュートリアル-php.cn

The Number of the Smallest Unoccupied Chair 1

1942年。空いている最小の椅子の数

難易度: 中

トピック: 配列、ハッシュテーブル、ヒープ (優先キュー)

0 から n - 1 までの番号が付けられた n 人の友達が参加しているパーティーがあります。このパーティーには無限の数の椅子があり、0 から無限までの番号が付けられています。友人がパーティーに到着すると、空いている一番小さい番号の椅子に座ります。

たとえば、友達が来たときに椅子 0、1、5 が埋まっていた場合、友達は 2 番の椅子に座ります。

友人がパーティーから退席すると、退席した瞬間にその人の椅子は空いてしまいます。同じ瞬間に別の友達が到着した場合は、その椅子に座ることができます。

0 インデックスの 2D 整数配列が与えられます。ここで、times[i] = [到着_i, 出発_i]、到着とi^番目の友人のそれぞれの退出時間と整数のtargetFriend。すべての到着時間は個別です。

友人番号の targetFriend が座る椅子番号を返します。

例 1:

入力: 回 = [[1,4],[2,3],[4,6]]、ターゲットフレンド = 1
出力: 1
説明:
- 友人 0 は時間 1 に到着し、椅子 0 に座ります。
- 友人 1 は時間 2 に到着し、椅子 1 に座ります。
- 友人 1 は時刻 3 に退席し、椅子 1 は空になります。
- 友人 0 が時刻 4 に退席し、椅子 0 が空になります。
- 友人 2 は時間 4 に到着し、椅子 0 に座ります。友達 1 が椅子 1 に座ったので、1 を返します。

例 2:

入力: 回 = [[3,10],[1,5],[2,6]]、targetFriend = 0
出力: 2
説明:
- 友人 1 は時間 1 に到着し、椅子 0 に座ります。
- 友人 2 は時間 2 に到着し、椅子 1 に座ります。
- 友人 0 は時間 3 に到着し、椅子 2 に座ります。
- 友人 1 が時刻 5 に退席し、椅子 0 が空になります。
- 友人 2 は時刻 6 に退席し、椅子 1 は空になります。
- 友人 0 が時刻 10 に退席し、椅子 2 が空になります。友達0が椅子2に座ったので、2を返します。

例 3:

入力:

   times = [[33889,98676],[80071,89737],[44118,52565],[52992,84310],[78492,88209],[21695,67063],[84622,95452],[98048,98856],[98411,99433],[55333,56548],[65375,88566],[55011,62821],[48548,48656],[87396,94825],[55273,81868],[75629,91467]], 
  targetFriend = 6

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出力: 2

例 4:

入力:

    times = [[4435,4436],[2958,2959],[743,744],[3439,3440],[5872,5873],[2507,2508],[3809,3810],[5084,5085],[6509,6510],[7740,7741],[1189,1190],[1277,1278],[7655,7656],[3229,3230],[4527,4528],[2242,2243],[1933,1934],[3348,3349],[6063,6064],[5344,5345],[5708,5709],[4439,4440],[4596,4597],[7572,7573],[330,331],[5153,5154],[2777,2778],[2127,2128],[7024,7025],[6983,6984],[2313,2314],[5961,5962],[7141,7142],[6150,6151],[1011,1012],[2146,2147],[1367,1368],[6741,6742],[64,65],[841,842],[6973,6974],[5002,5003],[2029,2030],[6131,6132],[947,948],[81,82],[2331,2332],[3740,3741],[1486,1487],[6176,6177],[3000,3001],[2805,2806],[6278,6279],[5273,5274],[660,661],[4833,4834],[8293,8294],[7490,7491],[2628,2629],[4032,4033],[5403,5404],[8062,8063],[5043,5044],[6038,6039],[3977,3978],[7045,7046],[1161,1162],[63,64],[2013,2014],[2400,2401],[5947,5948],[4563,4564],[6593,6594],[114,115],[2566,2567],[5297,5298],[8069,8070],[1675,1676],[1746,1747],[7713,7714],[4814,4815],[7651,7652],[6304,6305],[5638,5639],[5881,5882],[1761,1762],[3250,3251],[4391,4392],[1800,1801],[1136,1137],[6489,6490],[556,557],[3729,3730],[7901,7902],[7866,7867],[8312,8313],[1785,1786],[6200,6201],[4469,4470],[5619,5620],[4732,4733],[8039,8040],[4670,4671],[4558,4559],[8076,8077],[3743,3744],[4839,4840],[418,419],[3764,3765],[1118,1119],[3442,3443],[4605,4606],[6806,6807],[179,180],[7753,7754],[1321,1322],[6133,6134],[2456,2457],[6385,6386],[1584,1585],[6111,6112],[5156,5157],[2930,2931],[927,928],[710,711],[501,502],[2308,2309],[1971,1972],[5560,5561],[6216,6217],[5779,5780],[7486,7487],[5750,5751],[6462,6463],[2796,2797],[1543,1544],[6411,6412],[831,832],[5540,5541],[5981,5982],[3925,3926],[199,200],[8332,8333],[7338,7339],[5528,5529],[4962,4963],[3102,3103],[2063,2064],[255,256],[4317,4318],[2207,2208],[1996,1997],[1409,1410],[5095,5096],[7212,7213],[674,675],[2321,2322],[2571,2572],[4678,4679],[5542,5543],[6126,6127],[5270,5271],[6373,6374],[5856,5857],[353,354],[4295,4296],[8216,8217],[6102,6103],[7374,7375],[1578,1579],[3779,3780],[1015,1016],[5278,5279],[2320,2321],[6854,6855],[1722,1723],[1706,1707],[6310,6311],[3080,3081],[3520,3521],[6321,6322],[4505,4506],[4145,4146],[3026,3027],[5105,5106],[3284,3285],[1817,1818],[4374,4375],[4891,4892],[1640,1641],[5057,5058],[1152,1153],[7393,7394],[745,746],[8204,8205],[8321,8322],[7775,7776],[5796,5797],[2626,2627],[3991,3992],[3565,3566],[3671,3672],[6487,6488],[1592,1593],[1144,1145],[5966,5967],[1443,1444],[8224,8225],[1803,1804],[2046,2047],[3586,3587],[1162,1163],[3201,3202],[3783,3784],[6890,6891],[1695,1696],[155,156],[7390,7391],[8173,8174],[5515,5516],[3704,3705],[5422,5423],[4458,4459],[6899,6900],[2169,2170],[1555,1556],[1370,1371],[6224,6225],[7695,7696],[2369,2370],[1560,1561],[1445,1446],[2987,2988],[8114,8115],[673,674],[111,112],[5395,5396],[7122,7123],[1178,1179],[6485,6486],[5101,5102],[62,63],[1345,1346],[3386,3387],[2851,2852],[4294,4295],[5702,5703],[256,257],[7196,7197],[2587,2588],[4850,4851],[2293,2294],[7654,7655],[3251,3252],[5506,5507],[3583,3584],[7467,7468],[6560,6561],[6747,6748],[1240,1241],[7933,7934],[3237,3238],[7539,7540],[4903,4904],[409,410],[2261,2262],[6335,6336],[5310,5311],[2938,2939],[2565,2566],[7909,7910],[3418,3419],[278,279],[3253,3254],[6954,6955],[1582,1583],[898,899],[7749,7750],[4865,4866],[2713,2714],[3320,3321],[1737,1738],[4504,4505],[5339,5340],[2002,2003],[7453,7454],[8145,8146],[2200,2201],[3889,3890],[4155,4156],[513,514],[2335,2336],[874,875],[3055,3056],[7335,7336],[790,791],[7653,7654],[4806,4807],[2526,2527],[5168,5169],[1190,1191],[870,871],[2082,2083],[2756,2757],[4408,4409],[6135,6136],[5137,5138],[7000,7001],[1513,1514],[5991,5992],[291,292],[8218,8219],[8297,8298],[3582,3583],[3578,3579],[4497,4498],[731,732],[6307,6308],[3272,3273],[8197,8198],[77,78],[3389,3390],[2586,2587],[8155,8156],[8067,8068],[3658,3659],[1885,1886],[3631,3632],[1449,1450],[5850,5851],[306,307],[4711,4712],[3195,3196],[6623,6624],[6154,6155],[497,498],[3717,3718],[918,919],[3493,3494],[4436,4437],[2114,2115],[5575,5576],[6764,6765],[5600,5601],[1710,1711],[432,433],[143,144],[7482,7483],[1622,1623],[627,628],[7316,7317],[5421,5422],[6229,6230],[2136,2137],[7038,7039],[2306,2307],[3379,3380],[6253,6254],[2989,2990],[689,690],[6189,6190],[3533,3534],[476,477],[4241,4242],[5534,5535],[6768,6769],[3661,3662],[7,8],[785,786],[5756,5757],[7310,7311],[1472,1473],[7442,7443],[2715,2716],[20,21],[123,124],[1446,1447],[818,819],[6563,6564],[4941,4942],[1320,1321],[506,507],[346,347],[2011,2012],[2366,2367],[3241,3242],[104,105],[5454,5455],[130,131],[1601,1602],[1275,1276],[5520,5521],[4323,4324],[6612,6613],[3265,3266],[5312,5313],[4680,4681],[8286,8287],[1906,1907],[6341,6342],[2020,2021],[6916,6917],[3673,3674],[5025,5026],[6756,6757],[4320,4321],[7215,7216],[4047,4048],[580,581],[7121,7122],[6690,6691],[3183,3184],[863,864],[2411,2412],[7776,7777],[4429,4430],[5510,5511],[7689,7690],[3984,3985],[4425,4426],[8162,8163],[4682,4683],[4006,4007],[6069,6070],[3275,3276],[4106,4107],[5818,5819],[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13],[6050,6051],[293,294],[5119,5120],[207,208],[3759,3760],[6246,6247],[2596,2597],[3649,3650],[1527,1528],[92,93],[1606,1607],[4090,4091],[313,314],[3341,3342],[3259,3260],[2203,2204],[7954,7955],[7509,7510],[2342,2343],[6212,6213],[3760,3761],[6876,6877],[5602,5603],[2139,2140],[5982,5983],[1833,1834],[4417,4418],[4084,4085],[3036,3037],[6107,6108],[1387,1388],[6280,6281],[7052,7053],[6881,6882],[1331,1332],[8165,8166],[6528,6529],[5387,5388],[5364,5365],[3630,3631],[7129,7130],[1575,1576],[7894,7895],[7726,7727],[7814,7815],[3311,3312],[6059,6060],[7428,7429],[762,763],[2561,2562],[3922,3923],[5204,5205],[635,636],[6969,6970],[2865,2866],[8096,8097],[8324,8325],[2017,2018],[7367,7368],[5975,5976],[4275,4276],[8134,8135],[2086,2087],[8264,8265],[2117,2118],[5693,5694],[4924,4925],[4936,4937],[3416,3417],[3664,3665],[2692,2693],[7815,7816],[2606,2607],[2833,2834],[6330,6331],[6645,6646],[8176,8177],[1198,1199],[479,480],[7239,7240],[415,416],[3100,3101],[3867,3868],[2151,2152],[8125,8126],[5472,5473],[3144,3145],[5271,5272],[4759,4760],[6891,6892],[4996,4997],[4975,4976],[405,406],[1459,1460],[3838,3839],[1465,1466],[4568,4569],[3345,3346],[6753,6754],[6633,6634],[8019,8020],[7593,7594],[6179,6180],[6827,6828],[3942,3943],[4751,4752],[7892,7893],[2906,2907],[5110,5111],[5636,5637],[5777,5778],[1487,1488],[4813,4814],[5995,5996],[1018,1019],[1004,1005],[440,441],[6670,6671],[5244,5245],[3186,3187],[980,981],[5000,5001],[4410,4411],[5690,5691],[3314,3315],[3654,3655],[3602,3603],[7470,7471],[1927,1928],[3113,3114],[3194,3195],[7871,7872],[1705,1706],[1210,1211],[1404,1405],[6851,6852],[2687,2688],[2738,2739],[7256,7257],[56,57],[7524,7525],[4109,4110],[6159,6160],[6177,6178],[3196,3197],[8290,8291],[2534,2535],[7952,7953],[2162,2163],[6058,6059],[1488,1489],[5696,5697],[4405,4406],[5100,5101],[326,327],[5062,5063],[7882,7883],[2665,2666],[3974,3975],[7799,7800],[2420,2421],[7295,7296],[1406,1407],[3040,3041],[5768,5769],[6606,6607],[2554,2555],[3893,3894],[4824,4825],[5132,5133],[2724,2725],[101,102],[7878,7879],[4225,4226],[10,11],[1583,1584],[3169,3170],[7907,7908],[849,850],[1621,1622],[5965,5966],[6262,6263],[1353,1354],[916,917],[7877,7878],[1652,1653],[7924,7925],[4018,4019],[6804,6805],[3910,3911],[2505,2506],[3864,3865],[4847,4848],[5822,5823],[4604,4605],[3408,3409],[4154,4155],[3492,3493],[7382,7383],[2501,2502],[1694,1695],[612,613],[6568,6569],[5532,5533],[7178,7179],[1605,1606],[1909,1910],[6976,6977],[5815,5816],[8043,8044],[4948,4949],[5189,5190],[2389,2390],[1867,1868],[1492,1493],[3456,3457],[4137,4138],[3512,3513],[1249,1250],[7783,7784],[840,841],[7457,7458],[5635,5636],[6598,6599],[8267,8268],[6265,6266],[8050,8051],[3261,3262],[909,910],[796,797],[1067,1068],[2829,2830],[4271,4272],[1183,1184],[4749,4750],[1777,1778],[3660,3661],[6228,6229],[1373,1374],[7464,7465],[3544,3545],[2891,2892],[6119,6120],[5612,5613],[3313,3314],[5895,5896],[7968,7969],[324,325],[6924,6925],[2699,2700],[2847,2848],[6636,6637],[6283,6284],[8029,8030],[5492,5493],[7735,7736],[8306,8307],[4268,4269]], 
  targetFriend = 4519

ログイン後にコピー

出力: 0

例 5:

入力:

    times = [[4,5],[12,13],[5,6],[1,2],[8,9],[9,10],[6,7],[3,4],[7,8],[13,14],[15,16],[14,15],[10,11],[11,12],[2,3],[16,17]], 
  targetFriend = 15

ログイン後にコピー

出力: 0

例 6:

入力:

    times = 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
targetFriend = 8916

ログイン後にコピー

出力: 2235

例 7:

入力:

    times = 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
  targetFriend = 2145

ログイン後にコピー

出力: 9998

例 8:

入力:

    times = 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
  targetFriend = 2304

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出力: 2027

制約:

n == 倍の長さ
2 4
times[i].length == 2
1 出発 i 5

_{それぞれの到着}

時間は

ヒント:

解決策:

パーティーでの友人の到着と出発をシミュレートし、利用可能な最小の椅子の割り当てを管理する必要があります。段階的なアプローチは次のとおりです:

アプローチ：

到着時間順に並べ替え
:
優先キューを使用する (最小ヒープ)
:
並べ替えられた回数を繰り返します
:
- For each friend's arrival:
  - Free up chairs of friends who have already left by comparing the current time to the friends' departure times. Move those chairs back to availableChairs.
  - Assign the smallest available chair (from availableChairs) to the arriving friend. If no chairs are free, assign the next smallest unused chair.
  - Push this chair and the friend's leaving time into occupiedChairs.
Track Target Friend's Chair:
- When the targetFriend arrives, record the chair assigned to them.
Edge Cases:
- Consider cases where multiple friends arrive at the same time.
- Ensure that the smallest chair is always assigned.

Let's implement this solution in PHP: 1942. The Number of the Smallest Unoccupied Chair

<?php
/**
 * @param Integer[][] $times
 * @param Integer $targetFriend
 * @return Integer
 */
function smallestChair($times, $targetFriend) {
    ...
    ...
    ...
    /**
     * go to ./solution.php
     */
}

// Example usage:
$cost1 = [[15, 96], [36, 2]];
$cost2 = [[1, 3, 5], [4, 1, 1], [1, 5, 3]];
$cost3 = [[2, 5, 1], [3, 4, 7], [8, 1, 2], [6, 2, 4], [3, 8, 8]];

// Example usage:
$times1 = [[1, 4], [2, 3], [4, 6]];
$targetFriend1 = 1;
echo smallestChair($times1, $targetFriend1);  // Output: 1

$times2 = [[3, 10], [1, 5], [2, 6]];
$targetFriend2 = 0;
echo smallestChair($times2, $targetFriend2);  // Output: 2
?>

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Explanation:

Sorting ensures friends are processed in order of their arrival times.
Using a min-heap for available chairs allows us to always assign the smallest unoccupied chair.
Occupied chairs heap helps track when friends leave, making their chairs available again.
When the targetFriend arrives, we directly return the chair assigned to them.

Complexity:

Time Complexity: O(n log n), primarily due to sorting the times array and managing the heaps.
Space Complexity: O(n), for storing chairs in the heaps.

This solution efficiently handles the assignment of chairs, ensuring that each friend gets the smallest available chair, and accurately tracks when chairs become available again.

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