《徐徐道来话Java》:PriorityQueue和最小堆
在讲解PriorityQueue之前,需要先熟悉一个有序数据结构:最小堆。
最小堆是一种经过排序的完全二叉树,其中任一非终端节点数值均不大于其左孩子和右孩子节点的值。
可以得出结论,如果一棵二叉树满足最小堆的要求,那么,堆顶(根节点)也就是整个序列的最小元素。
最小堆的例子如下图所示:
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" alt="" />
可以注意到,20的两个子节点31、21,和它们的叔节点30并没有严格的大小要求。以广度优先的方式从根节点开始遍历,可以构成序列:
[10,20,30,31,21,32,70]
反过来,可以推演出,序列构成二叉树的公式是:对于序列中下标为i的元素,左孩子为left(i) = i*2 +1,右孩子为 right(i) = left(i)+1。
现在可以思考一个问题,对于给定的序列,如何让它满足最小堆的性质?
例如[20, 10, 12, 1, 7, 32, 9],可以构成二叉树:
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" alt="" />
这里提供一个方法:
1、倒序遍历数列;
2、挨个进行沉降处理,沉降过程为:和左右子节点中的最小值比对,如果比最小值要大,则和该子节点交换数据,反之则不做处理,继续1过程;
3、沉降后的节点,再次沉降,直到叶子节点。
同时,因为下标在size/2之后的节点是叶子节点,无需比对,所以可以从size/2-1位置开始倒序遍历,节约执行次数。
应用该方法对之前的数列进行解析:
1、数列[20,10,12,1,7,32,9]长度为7,所以size/2 - 1 =2,倒序遍历过程是12 -> 10 ->20;
2、12的左孩子为32,右孩子为9,12>9,进行沉降,结果如下图所示:
aaarticlea/png;base64,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" 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3、10的左孩子为1,右孩子为7,10 > 1,进行沉降,结果如下图所示:
aaarticlea/png;base64,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" alt="" />
4、20的左孩子为1,右孩子为9,20 > 1,进行沉降,结果如下图所示:
aaarticlea/png;base64,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" alt="" />
5、20的左孩子为10,右孩子为7,20 > 7,进行沉降,得到最终结果:
aaarticlea/png;base64,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" alt="" />
满足最小堆的要求,此时,得出的序列为[1,7,9,10,20,32,12]。
该实现的流程也就是PriorityQueue的heapify方法的流程,heapify方法负责把序列转化为最小堆,也就是所谓的建堆。其源码如下所示:
private void heapify() {
for (int i = (size >>> 1) - 1; i >= 0; i--)
siftDown(i, (E) queue[i]);
}
siftDown方法也就是之前提过的沉降。
siftDown(k,x)方法解析
siftDown这个方法,根据comparator成员变量是否为null,它的执行方式略有不同:
如果comparator不为null,调用comparator进行比较;
反之,则把元素视为Comparable进行比较;
如果元素不为Comparable的实现,则会抛出ClassCastException。
不论哪种,执行的算法是一样的,这里只做Comparator的源码解析:
private void siftDownUsingComparator(int k, E x) {
//只查找非叶子节点
int half = size >>> 1;
while (k < half) {
//左孩子
int child = (k << 1) + 1;
Object c = queue[child];
//右孩子
int right = child + 1;
//取左右孩子中的最小者
if (right < size && comparator.compare((E) c, (E) queue[right]) > 0)
c = queue[child = right];
//父节点比最小孩子小说明满足最小堆,结束循环
if (comparator.compare(x, (E) c) <= 0)
break;
//交换父节点和最小孩子位置,继续沉降
queue[k] = c;
k = child;
}
queue[k] = x;
}
注释已经解释清楚了代码的执行逻辑,其目的是把不满足最小堆条件的父节点一路沉到最底部。从以上代码可以看出,siftDown的时间复杂度不会超出O(logn)。
siftUp(k,x)方法解析
siftUp方法用于提升节点。新加入的节点一定在数列末位,为了让数列满足最小堆性质,需要对该节点进行提升操作。
和siftDown一样,它也有两种等效的实现路径,这里只做shifUpUsingComparator的解析:
private void siftUpUsingComparator(int k, E x) {
while (k > 0) {
//找到父节点
int parent = (k - 1) >>> 1;
Object e = queue[parent];
//父节点较小时,满足最小堆性质,终止循环
if (comparator.compare(x, (E) e) >= 0)
break;
//交换新添加的节点和父节点位置,继续提升操作
queue[k] = e;
k = parent;
}
queue[k] = x;
}
节点的插入,是在数列的尾端的,它很可能比父节点要小,不满足最小堆的定义,所以,需要做上浮的操作。
这里提供一个例子帮助理解,有最小堆数列[10,20,30,40,30,50,70],构成最小堆如下所示:
aaarticlea/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfYAAADuCAIAAABEe7KpAAAgAElEQVR4nO3deUBM6/8H8Gf2pn2XVColZWmhRRuy77dcSxFtkj0Kbcha4VIUQuhKLi6FhHBFslxkV0nWRAuRlqlmzvz+mPvzJUnNnJnnnOl5/XUv9TmfNPOec57nOc8BfARBEERKAdgNIAiCIOKCIh5BEERqoYhHEASRWijiEQRBpBaKeARBEKmFIh5BEERqoYhHEASRWijiEQRBpBaKeARBEKmFIh5BEERqoYhHEASRWijiEYRfU1Nz4cKFuLi4OXPmDB482MLCwtDQUENDQ11d3dDQ0Nzc3MXFJSAgIDY2Nisr68uXL7D7RZC2QhGPdFyFhYWrV692cnJiMBgAAEVFRWtraw8Pj8DAwIiIiJiYmJiYmOXLlwcGBk6bNs3W1lZZWRkAQKfT7e3tV6xY8ejRI9g/AYL8Aop4pMOpra1NSEiwsbEBAHTq1MnT03P//v2vXr3CMKz1b8QwrKSkJCUlxdvbu0uXLgAAKyuruLi46upqyXSOIO2FIh7pQKqrq6OiojQ0NNhs9rRp086dO8flcoUrxePx/vnnH29vb3l5eVVV1dWrV1dVVeHbLYKIDkU80iFgGLZ//34NDQ0lJaWIiIiKigq8Kn/8+HHVqlWqqqoqKiqJiYk8Hg+vyggiOhTxiPQrKChwcnKi0+nBwcGfPn0SxyG+fPkSHh7OYDBsbW0fPHggjkMgiBBQxCNSLiUlRU5OztHRUQKzo4WFhS4uLjIyMrt37/7lyD6CSACKeERqNTY2+vv7UyiUlStXCj3m3l48Hi8mJoZGo3l6etbX10vmoAjyMyjiEen05cuXESNGqKqqXrx4UfJHz83N1dLSGjhwoJjGhRCkjVDEI1Lo48ePNjY2urq6T548gdVDcXGxkZGRubl5WVkZrB4QBEU8Im1qa2sdHByMjY1fv34Nt5OysrI+ffpYWVl9/vwZbidIh4UiHpEqTU1NY8eO7dy584sXL2D3wufz+aWlpQYGBi4uLhwOB3YvSEeEIh6RKkuXLlVUVLx//z7sRv7n6dOnGhoaAQEBsBtBOiIU8Yj0yMjIAAAcO3YMdiPNZWVlUSiUw4cPw24E6XBQxCNSorS0VFVVdf78+bAbaVlERISCggJBho+QjgNFPCIl3N3dTUxMCDvk3dTUZGVlNW7cONiNIB0LinhEGpw/fx4AcOHCBdiNtObGjRsAgBMnTsBuBOlAUMQjpMfj8Xr27Dlp0iTYjfyaj4+PoaFhU1MT7EaQjgJFPEJ6x44do1AoBQUFsBv5tVevXtHp9D///BN2I0hHgSIeITcMwywtLUlxCi/g7e1tYmIisT1zkA4ORTxCbpcvXwYA3LlzB3YjbVVQUAAAyMzMhN0I0iGgiEfIzc/Pz9zcHHYX7ePg4DB58mTYXSAdAop4hMTq6uqUlJQ2bdoEu5H22bVrF4vFQg8CRCQARTxCYqdPnwYAvHnzRuRKRbH2AADg38LwSaY/+J+WvqDdqqqqaDRaamoqDrUQpFUo4hESCwoKMjExEbHIf+neYoIL/u7///T7/xOJjY3NzJkzcSiEIK1CEY+QmIWFhajbe2X6AwDsY4sE/9Esvn/4s6JYe8FXi2rZsmVGRkYil0GQX0ARj5BVTU0NhUJJSUnBp1wLEd/CH+GV8YId0yoqKkQthCCtQhGPkFVeXh4A4O7du/iU+zHPW4zzlk72hfDs2TMAQE5OjqiFEKRVKOIRsjp06BAAoKamBp9yP2b31zGc1r9MKFwul8Fg7NmzR9RCCNIqFPEIWa1du1ZbWxu3cj+J+OZp3mLuC6V79+4hISGi10GQVqCIR8gqODi4Z8+euJWT7Fk8n8+3sbGZPXs2DoUQ5OdQxCNkNWvWLDs7O9zKSXYsns/nDx48eNq0aTgUQpCfQxGPkJWHh8fgwYNxKyfZFTV8Pn/cuHHjx4/HoRCC/ByKeISsvLy8nJ2dcSv3szwXz7p4Pp8/cuTIiRMn4lEJQX4KRTxCVvPnz7e0tMStXBsmV/EMeD7f0dHRx8cHn1oI8hMo4hGyCg8Px+EG0e92oGlpI4Nv9zfAZxD+PxYWFoGBgfjVQ5AWoIhHyCo+Pl5WVpbH48FuREgaGhrR0dGwu0CkHIp4hKwEj+R+/fo17EaE8fHjRwBAeno67EYQKYciHiGrN2/eAACysrJgNyKMmzdvAgBI8bxZhNRQxCNkhWGYqqpqVFQU7EaEsWPHDllZ2cbGRtiNIFIORTxCYm5ubsOGDYPdhTAmTpxI0s4RckERj5BYQkKCrKxsQ0MD7EbaB8MwDQ0Nkl5/IOSCIh4hsaKiIgDA2bNnYTfSPtevXwcA3LlzB3YjiPRDEY+Qm62t7dSpU2F30T6zZ882NTXFMAx2I4j0QxGPkJtgdfyXL19gN9JWHA5HRUUFrYhHJANFPEJulZWVbDZ769atsBtpq6SkJAaD8fbtW9iNIB0CiniE9AIDA3V0dEgx6crlco2NjWfOnAm7EaSjQBGPkN7bt2+ZTOauXbtgN/JrqampNBqtuLgYdiNIR4EiHpEGixcv1tTUrKqqgt1Ia2pqavT09Pz9/WE3gnQgKOIRafD582dtbe158+bBbqQ1YWFh6urqlZWVsBtBOhAU8YiUOHz4MJVKvXr1KuxGWnbv3j0mk5mUlAS7EaRjQRGPSAkMw9zd3XV0dAh4mlxdXW1sbDx27Fi0Fh6RMBTxiPQQJOno0aO5XC7sXv5H8Nmjq6v74cMH2L0gHQ6KeESq3L9/X15efs6cOcQ5Xw4NDZWRkbl27RrsRpCOCEU8Im3S09PpdPrSpUthN8Ln8/nr16+n0WhpaWmwG0E6KBTxCIlVVVXdunXr0KFDq1evnj59ur29vaamJoVCAQBQKJSIiAiI5/IYhsXExAiaYbPZ1tbWfn5+27Ztu3LlyqdPn2B1hXQ0KOIRcvj48ePNmzcPHjy4atUqT09POzs7dXX1r2mupaXl6Ojo5eW1du3av/76686dOwcPHmQymX5+fk1NTZLvlsfjLV68mE6n792799q1azt27AgICOjfv7+8vLygYQMDg99++23lypXHjx9//vw5cYaVECmDIh4hnMrKyhs3bqSkpERGRk6dOtXW1lZNTQ0AIAjHzp07Ozk5+fj4rF+//siRI3l5edXV1S3Wyc7OVlRUdHZ2lvCGMGVlZcOHD5eTk/txl2Mej1dYWHjkyJHw8PAxY8bo6uoKPqWUlJScnJzmzZu3e/fuf//9t66uTpINI1IMRTwCU0VFxfXr1w8cOLBixQoPDw8bGxtVVdWvad6lS5cBAwb4+vpGRUX9/fff9+7da++Okk+fPrWwsFBXVz99+rSYfoRmLly40LlzZzMzs8ePH7fl6ysrK//555/NmzfPmDHDwsKCxWIBAOh0uqmp6ZQpU6KiojIzM9GeZYjQUMQjElJeXp6bm5ucnLx8+XJ3d/d+/fopKysL0pxKperq6g4aNGjmzJkxMTHHjh178OBBbW0tLsetr6+fPXs2AOD3339/8+YNLjVb9O7du6lTpwIAvLy8ampqhCvS2Nh4//79P//8MygoaMiQIRoaGoJ/Ik1NzaFDhwYHBx84cODBgwfooa9IG6GIR/D3/v37q1ev7t+/PyIiYvLkyX379lVSUvqa5np6ei4uLrNmzdq4cWNaWtrDhw8lMC6RnZ1tamoqJycXERFRUVGBb/GPHz+uXr1aUVHRyMjo3Llz+BYvKSk5ffr0+vXrJ0+e3KNHDxqNBgBgsViWlpZeXl5btmz5559/0Ip75GdQxCMieffuXU5Ozt69e8PCwiZNmmRlZaWoqChIcxqNpq+vP2TIkICAgD/++OPEiROPHz+ur6+H1WpDQ8OmTZs0NTVlZWUXLVqUn58ves2ioqJly5YpKCioqqquX79eAj9dbW3tjRs3EhMT58yZ4+DgIPjXplAourq6Y8aMiYiIOHr06NOnT3k8nrg7QUgBRTzSVqWlpZcvX05KSgoNDZ04caKFhYWCgoIgzel0uqGh4bBhw+bMmbN58+aTJ0/m5+dzOBzYLbegtrY2NjZWR0cHANCvX7/Y2Nj8/Px2LWjBMKyoqCghIaF///4AAC0trQ0bNsB67BSGYc+ePTt27NiKFSvGjRvXtWtXwfytvLx8//79AwICduzYce3aNRI9FQvBF4p4pDkMw0pKSrKzs/fs2RMSEjJhwgRzc3PBaj9Bmnfr1m348OHz5s2LjY3NyMgoKCggxeM4vsXlcs+fPz99+nTBz9W5c2d3d/eoqKjjx48/fvy4oqKivr4ewzAMwzgcTkVFRX5+fnp6enR09LRp0wQfD2w228PD48yZM1AWZbaiqqoqOzs7Li7Ox8enb9++MjIygvExY2Pj33//fc2aNadOnXr9+jXsNhEJQRHfoWEY9ubNm0uXLu3atWvp0qVubm59+vSRk5MTpDmDwTA2Nh45cuT8+fO3bt2amZn59OlTKZvoa2houHLlSmRk5MCBAzU1NcE36HQ6g8H49k80NDScnZ2XL19+6dIlYl6j/Kipqenhw4cpKSlLliwZNmxYp06dBD+LqqrqoEGDAgMD9+3bl5eXR5YfB2kvFPEdBYZhr1+/vnjxYmJi4pIlS1xdXXv16iUrKyt4wzOZTBMTk9GjRy9cuHDbtm1nzpx59uwZ0c5PJeDjx483btw4ffr0oUOHdu3alZiYeOjQoYyMjGvXrhFwA0vhvHv37uzZszExMe7u7mZmZnQ6XfBx3rt372nTpm3cuDErK6u8vBx2mwg+UMRLFcFZ+fnz5w8ePLhz586NGze6uLj06dOnS5cuTCZTkOYsFqtHjx5jx45dtGhRQkLCuXPniouLCbU1IyJJ9fX1t27d2rNnz/z5852dnQUrWSkUira29siRI0NCQg4dOvTkyRP0CiEpFPGkV1tbm5WVtWzZMltb269jLIJxBlVVVRaLJVhm93WVi4mJia+vb2pq6rt372D3jhDR8+fP09LSIiMjXV1dDQ0NqVQq2maHvFDEkxWXyz179qyHhwebzQYAGBoa+vj4bN269ezZs8+fPxfMFn794sbGxvfv3+fk5CQlJQUFBVlbWwvet87Oznv27Pn8+TPEHwQhuM+fP+fk5MTHx/v5+VlbWwsG9ygUiqGhoaura2RkZFpaGtpmh7BQxJNPbW1tXFycrq4uAMDe3j4hIeHly5ftLfLp06e0tLRJkyaxWCw2mz1//ny0ygJpCy6X++TJk0OHDoWEhIwcOVJbWxtts0NkKOLJpLGxcfPmzRoaGnJyckFBQc+ePRO9ZlVVVUJCgoGBAYPBmDlz5vv370WviXQoZWVlWVlZGzdunDZtWu/evQXLkATb7Li7u0dHR585c6a0tBR2mx0UinjSyMnJEayBWb58Oe6rO5qamv78809DQ0NlZeXt27ejuTVEaBwOJy8vb9++fQsWLLCzs/t6f5ysrGyXLl18fX2DgoIiIyPj4+PPnz//+vVrNMIjVijiSaChoWHhwoUAADc3t1evXonvQHV1dStXrmSxWA4ODmjcBhEChmF37tyJiYkRbKcsCHc2m62hoaGpqdmpUyc7OzszMzNdXV3BnpoAAEVFxTFjxmzevPnhw4co7nGHIp7oXrx4YW1traKiIrGHwz19+rRv375qamqZmZmSOSIiBYqLiyMjI42MjAT3Vbm5ucXFxV28eLGkpKTF4ObxeC9fvszKytq0adPYsWMFm+307NkzOjparBuCdjQo4gntxo0bampqdnZ2QkyoioLD4SxcuJBCocTGxkryuAgZ3b17d8KECRQKRVNTMzAw8NatW0JsgtbU1JSTkzNr1iwVFRUajTZ9+nRc9olDUMQT15kzZ2RlZd3d3WHtALNv3z4ajRYSEoIun5EWFRcXjx8/HgDQt2/fY8eO4XI7NIfDSUlJ6dmzJ4VC8fDwQI9DERGKeILKzMyk0+kLFy6EuyvsqVOn2Gz2woULUcoj3+JwOKtXr5aRkbGwsDh79izuLw8ej5eWlmZiYqKgoLBly5YOuJcGXlDEE9GNGzdkZWUDAwOJEKznzp1jMBjr16+H3QhCFAUFBX369FFUVNy2bZtYF19xOJz169ez2WwHBwc0QC8cFPGEU1xcrKam5uHhQZynOqSmplIolOTkZNiNIPClpqbKy8sPGDCgpKREMkcsKiqysrJC8//CQRFPLBwOp2/fvg4ODkTbgX3dunVsNvvRo0ewG0GgwTBs9erVFAplxYoVEr5zgsPhzJs3j0ql7tixQ5LHlQIo4oll/vz5qqqqBFyTzuPxhg8fbmZmJvSDpxFS4/F48+bNYzAYhw8fhtVDfHw8hUJZuXIlEQYwyQJFPIFcunQJAHDq1CnYjbSsrKysU6dOS5Ysgd0IImkYhs2ZM0deXv7ChQtwOzly5AiDwYiMjITbBomgiCeKhoYGU1PTSZMmwW6kNSkpKXQ6HQ3XdDSRkZFMJvPixYuwG+Hz+fwjR45QKBQ0YtNGKOKJYuPGjfLy8hKbwhIOhmHOzs4DBgxAV8odx/79+6lU6tGjR2E38j8JCQlUKhXNvrYFinhCqK6uVlVVXbNmDexGfi0vLw8AcP78ediNIJLw+PFjNpu9bt062I00N3/+fDU1NQLOWhENinhCiImJUVRUrKqqgt1Im4waNcrZ2Rl2F4jY1dbW9uzZc/jw4cRZv/uVYO2Zvb09uiuqdSji4eNwOJqamqGhobAbaaurV68CAK5evQq7EUS8wsLCNDQ0ysrKYDfSsmfPnsnKym7ZsgV2I4SGIh6+48ePUygUcl1yWlhY+Pj4wO4CEaP8/HwGg7F//37YjbQmKipKQUEB7WPTChTx8Lm6ug4aNAh2F+2zZcsWBQWF2tpa2I0g4jJs2DBHR0eCz6s3NDT06NFj6tSpsBshLhTxkH369InBYCQlJcFupH3ev39Po9H++usv2I0gYpGbmwsAuHHjBuxGfi09PZ1CoaCdh38GRTxkJ06cAACI9sTUolh78A3/H5aSZfq3+tfCsbOz8/X1xacWQjAjRowYMmQI7C7ahMfj9erVy9PTE3YjBIUiHrIFCxaYmZmJUiHT/9vYFqT5NzEuyP///4Pv/08koaGhhoaGOBRCCObevXsAgH/++Qd2I22VmppKpVLF+sxL8kIRD1nv3r3nzp2LZ8VM/29D/Pv/4/8X8vaxRSIfJysrCwCA3lfSJzAw0NjYmOCj8N9qaGhQVVVF+123CEU8TI2NjXQ6HeeB+O8y/IeExy/jKyoqAACnT58WtRBCJI2NjRoaGqtXr4bdSPvMnj3b1NSURB9LEoMiHqbCwkL8F5h/m+otxnkLsS8MDMNUVFQ2b94saiGESM6ePQsAKC4uht1I+wjmh+/duwe7EcJBEQ+TYK61oqICx5qZ/qDZSbyYIp7P59vZ2fn7++NQCCGMJUuWdO/eXbQaEOb/uVyusrLypk2bcKglXVDEw7Rr1y4mk4lnxWbTqS2meYu5LxRXV9fx48eLXgchjr59+wYEBIhSAdb8//jx40eNGoVDIemCIh6mP/74Q1VVFb96P7ydxHwW7+np6eLigkMhhBiqq6upVCq+tzv86qwDt/n/LVu2yMvLE3A7HbhQxMO0cuXKrl274lRM8Fb6/r0izrF4Pp8/Z86cfv364VAIIYZbt24BAB4/foxn0e9eb2Kc/7948SIA4OXLl6IWki4o4mEKDw/v1q0bLqV+OIH/5o/F847i8/kLFiwwNzfHoRBCDAcOHKBSqRwOB8ea311JivOc4+3btwCAs2fPilpIuqCIhykqKqpTp06i12npBP7bvxHLdTGfz/fx8XF0dMSjEkIIy5cvNzAwwLNis6FCcY4cYhimoKAQFxcnaiHpgiIepvj4eDk5OVGr/OQE/tu//fqmwjPg+fxJkyaNHDkSn1oIAQQEBNja2ope56crZsQ8/29oaLh8+XLR60gTFPEwHTx4EAAg2nVxswVqLb2xvvsSvLao4fP5/KFDh7q7u+NXD4Fs6tSpeG9N89+L77+XnZjn/83NzQMDA3EoJEVQxMN08+ZNAAB5n3ZtYGCwYsUK2F0guBk3btxvv/2Gd9Vvcl3M8/8ODg5oa7xmUMTD9OnTJwDAsWPHYDcijPr6egqFcvDgQdiNILgZM2aMq6sr3lW/nRAS7/y/k5OTt7c3DoWkCIp4yLS0tFatWgW7C2Hcv38fAHDnzh3YjSC4cXd3Hzp0KN5Vvx2dEe/8v4WFxYIFC/CoJD1QxEM2YcIEsmzM3cy2bdvk5OQaGxthN4Lgxt/fv3///qLV+P7m1h+H38U5/29kZBQeHo5PLWmBIh6y7du3s9lsfFciS4abmxtaTiNlQkNDjY2NRa3y3XqalobZxTP/j2GYsrLyH3/8gVM9KYEiHjLBZpOXLl2C3Uj7NDU1qaqqbtiwAXYjCJ727dtHp9NJemVWXl4OADh16hTsRogFRTxkGIb17t2bdPs1ZmRkABJuOYu07tq1awCAp0+fwm5EGFeuXAEAFBXhNOgjLVDEw7dhwwZlZeX6+nrYjbTDxIkTnZycYHeB4Ozjx48AgOPHj8NuRBgJCQkyMjJNTU2wGyEWFPHwlZSUUKnU1NRU2I20VXl5OYvF2rNnD+xGEPz16tVr4cKFsLsQxqRJk9C+pz9CEU8IU6ZMMTc3J8tjycLCwjQ1NWtra2E3guBvwYIFffr0gd1Fu2EYpqmpuW7dOtiNEA6KeEJ4+PAhACAjIwN2I79WVVWlqKiIJlqlVXp6OgCgtLQUdiPtc/fuXQDAjRs3YDdCOCjiicLNzc3CwoLL5cJu5BfCwsLU1NSqq6thN4KIRV1dnZKSEumWHgYHB+vr66PngfwIRTxRFBcXy8jIxMfHw26kNU+fPmUymbt374bdCCJGM2fOtLCwgN1FO3C5XG1t7YiICNiNEBGKeAJZvXq1kpLSu3fvYDfSMgzDRowY0b9/f3SuJN1yc3MBALdu3YLdSFudPHkSAFBYWAi7ESJCEU8gHA6nZ8+ew4YNI2aGbtu2jclk3r9/H3YjiHhhGGZvby+G/cjEAsMwOzs79Jj4n0ERTyyPHz+WlZUl4MKA27dvM5lMgo8jIXjJzMwkyzbXgke2kuiaQ8JQxBPO/v37qVTqyZMnYTfyP2/fvu3ataurqytZlnUiIsIwzMbGZsyYMbAb+QUej2djYzNq1CjYjRAXingiWrp0qYyMTG5uLuxG+Hw+v6qqqnfv3tbW1mgVTYdy8+ZNCoVCqFONHyUmJjKZTDQK3woU8UT05s0bS0tLeXn5f//9F24nVVVVNjY2ampqL168gNsJInkBAQH6+vpfvnyB3UjLysrKVFVV0cNaW4cinkB4PN6ZM2d+++03Op2urKzct29fOTm5c+fOweqntLS0T58+Ojo68vLynTt3/vPPP9FATYfy8eNHPT09T09PAv7eeTzesGHDevbsWVdXB7sXQkMRTwjv379fv369gYEBhUKxtbXdu3dvbW0tj8dbsGABg8HYvXu35N9jeXl5+vr61tbWFRUVpaWlnp6eVCrV3t4ePeapQ8nNzaXRaHv37oXdSHPr1q2TlZV9/Pgx7EaIDkU8TBiGXbhwYeLEiUwmU0FBISAg4O7du82+YNOmTTQaberUqRIbCscwLD4+nslkurq6fnuRnpuba2VlRaPR/P39KyoqJNMMAl10dDSLxbp8+TLsRv7n+PHjVCp1//79sBshARTxcFRUVGzcuNHY2BgAYGVllZiY2MqIZ25urq6ubrdu3c6ePSvuxoqLi0eNGsVkMrdu3frjpQOPx0tMTFRXV1dVVd22bRvxt1tARIdh2MyZM5WUlAhyS0R2djaLxUL3srYRinhJy87Odnd3Z7FYcnJyvr6+bZxQ/fDhg5eXFwBgwoQJYpr5rKmpWbVqlYyMTL9+/fLy8lr5yo8fP86dO5dOp/fp0yc7O1sczSCEcvny5c6dO6upqUFP+StXrsjKyhoZGTW73kV+BkW8hHz48GHLli2mpqYAgN69e8fHx3/69Km9RS5fvmxmZkan0728vAoKCvDqraqqau3aterq6oqKivHx8W08N79///6AAQMoFMqUKVPevHmDVzMIcWAYlp6ebm9vDwDo06ePs7OzkpLSlStXYPWTnp4uIyMzZMgQIyMjCoUyYsQIdIbxSyjixS43N3f69OlsNpvNZk+fPl3E1e5NTU0HDx7s2bMnhUIZMmRIcnKy0GP0PB7v4sWLXl5e8vLyqqqqq1at+vjxY3uLHDp0SEdHR05Obt26dWR8yDjSooaGhqSkJFNTUwqF4uLiIhgh5HK5fn5+LBZr7969Ep7/5/F4GzdupFKpYWFhGIZxudy//vrLysoKAGBnZ5eWlkbANT8EgSJeXD59+hQfH9+7d28AgKmp6ZYtWz58+IBXcR6Pd+rUKVdXVwaDwWazhw8fHh0dffPmzV8uIONyuU+fPt2zZ8/UqVM7d+4MALCxsYmPjxdlLrempiY0NJTFYhkZGRH8Thnklz5//rxhw4YuXbrQaLSJEyc22xgAw7CoqCgajTZt2jSJzf9XVlaOGTOGxWLt2rWr2V+dO3fOxcWFQqGYmpru3buXpA8WFysU8fi7efOmr6+vnJwci8Vyd3cX67VkZWXlzp073dzcVFRUAAAUCqVr167Dhg3z9PScM2fO0qVLw8LC5s+f7+3tPX78eDMzMyaTCQBgMpkDBgxYtWrVkydP8OqkqKhozJgxAICRI0eiuw3JqLS0dNmyZcrKymw2OyAgoJXnXF+9elVXV1dfX1/cn+gYhh08eFBLS8vExKSVaYCbN2+6ubnRaDRdXd3NmzcT9l4tKFDE46a6unrnzp2WlpYAACMjow0bNpSXl0vs6Dwe7+7duwcPHlyxYsWUKVNcXFysra179OhhZGRkaWnp7Ow8fvz4oKCgxMTE7Oxs8T2T7/Tp08bGxiwWa9myZeidRhYFBQWCERhVVdXw8PCysrJffsvHjx9nzZoFABg7diyOJ7zBx8oAACAASURBVArfunPnzqBBg2g0WlBQUFteSwUFBb6+voKfYvny5WhdrwCKeBzk5eXNmjVLQUGBwWD8/vvv58+f78gjgw0NDdHR0fLy8tra2ikpKbDbQVpz/fp1V1dXKpUq3PnvtWvXLC0tKRTKhAkTbt++jUtLGIbl5OSMHDkSAODg4NDeNTxv374NDg5WVFSUlZWdP3/+y5cvcemKvFDEC6+2tjYpKcnGxoZCoejr669bt46wT/OQvJKSEg8PDwqF4ujo2PoSTETyMAzLyMhwdnamUCi9evVKTk4WehQbw7CTJ0/a2toK7vDYsmXL+/fvhSv16tWr9evXm5mZAQAGDRp04cIFoU+VBIvENDU1GQzGtGnTHjx4IFwdKYAiXhgPHjyYN2+esrIynU4fP358ZmYmMR/iAd2VK1csLCxoNFpAQEBlZSXsdhB+Y2NjcnJyr169KBSKs7NzRkYGLlecglNvPz8/RUVFCoViYWGxaNGi9PT0Z8+etbIGt7GxsbCw8O+//543b54g2VVVVefOnYvX5u91dXUJCQmGhoYUCmX06NE5OTm4lCUXFPHtUF9fn5yc7ODgQKFQdHR0IiMj0XrwX+Jyudu3b1dTU1NTU0tISEA3xMLy5cuXzZs36+rqUqlUV1fX69evi+ModXV1x48f/xrZgrn9Hj16ODo6jhgxYuLEiRMmTBg+fLiDg4OxsTGdThd8jeAjISMjo6GhAfeWuFxuamqqubm5YOTn5MmTHWocFUV8m+Tn5wcGBqqqqtJotFGjRp04cQJFVbtUVlYGBATQaDQLCwuI9850TO/fvw8PD1dRUZGRkfHz88PxprnWVVZWXr16dc+ePUuXLvXz85s0adLIkSNHjRo1ZcqUmTNnhoaG7t+///r161VVVZLpJzMzU3CznmBsqqmpSTLHhQtFfGs4HE5qaqrgZdG5c+fw8HA0eyOKvLw8R0dHCoXi4eFRUlICux3pV1RUFBAQwGazlZWVly1bVlpaCrsj+K5fv/7bb79RqdSuXbvGxcWJb3UZQaCIb1lRUdGSJUs0NDSoVOrQoUP//vvvDvKZLwEpKSna2try8vJRUVHiuDBH+Hz+rVu3Jk6cSKPRunTpsmHDhs+fP8PuiFiePHni7e3NZDLV1dUjIyOleKIIRfx3Ghsbjx49OmTIECqVqqmpuXTp0mfPnsFuSgp9+fJl6dKlLBbL2Ng4IyMDdjtS5ezZs19v+ExKSkIfoq148+bNokWL5OXl5eXlAwMDX79+Dbsj/KGI/8/z589DQ0O1tLQoFMrAgQMPHTqE3hviVlhYKFj+PHr06FbupUTaQrB5kWBS0d7ePj09vUNNKoriw4cPq1ev1tDQYDKZM2bMkLLHjHT0iOdwOMeOHRsxYgSVSlVTU1u0aFF+fj7spjqWkydPduvWjcVihYaG1tTUwG6HfGpqarZu3aqvr0+lUseOHdsxlwaKrra2dtu2bYJ/xnHjxl27dg12R/joKBGPYVhxcfHevXuDg4PHjh1rYmKirq4uIyMjWLNFpVIVFBS6d+8+duzYJUuW7Nu37/nz57Bb7kA4HM66devk5OR0dHRSU1Nht0MaFRUVK1asUFdXZzKZXl5eUnb6CUVTU9OBAwd69+4tuG/g9OnTsDsSlZRHPJfLPX/+vK+vb9euXQEAdDq9R48e48aNCwoKio6OTkhISE5O3rJlS3x8fHR0dFBQkCD9Bct19fX1/fz8Ll68iG5rkow3b95MnjxZ8Na6d+8e7HYI7fnz53PnzpWVlVVUVAwODkbLk/AluPvXyclJsFF+SkoKeVdbSG3El5aWhoWF6ejoAAD69esXHh5+4cKFNi6Qqq2tPX/+fGhoqGBPMV1d3YiICLQ5gWRkZ2f36dOHTqd7e3vn5+fX1NSgMeVv5eXlTZkyhU6na2lpRUVFSWxReceUm5s7btw4KpVqYGAQHx//y826CUgKI/7ly5ezZ89msVhdunSJiIgQ8UaPJ0+ehIWFaWtry8jIzJ0799WrV3j1iQhgGPb48eOEhITZs2e7uLh06dKFwWCAbwimSezs7GbMmBEdHX316tWOuS34+fPnhw4dSqFQunfvvmvXLvQAFol59OjR9OnTGQyGpqbmmjVrhHhyDkRSFfH19fUrV64UPJtiz549OC6J4XA4u3btMjQ0lJGRWb16NXp3ia6pqenMmTOenp5aWloAADab3bdvX3d395UrV+7YsePgwYPHjh3LzMw8fPjw7t27o6KifH19HR0dVVVVAQDy8vKjRo3at2+f1O9X3NTUVFFRsXv3bsETjmxtbY8dO4ZGDqF49erVwoUL5eTkFBQUgoKCyDI4Jj0Rf+nSpW7duikpKSUkJIhp4KypqWnr1q2KiorGxsboLnyhCR49IXjmlJ2d3erVq69evdrGz2MMwx49erR169axY8cyGAxZWVlPT0/peFIzhmGFhYWJiYnz588fNmxY165d2Wz2t1czDAajU6dOjo6Ovr6+mzZtunHjBnkHiMmrsrIyMjJSXV2dxWL5+PgQfwGeNEQ8l8tdtWoVlUr18PAQeiPTtnv37t3kyZOpVOq6devQ+VS7vHr1as6cOYIxtJUrV4q4Fr6ysnL79u2C09vRo0ffuHEDrz4lSbAiwNvbWzBvxGKxzM3NJ06cGB4evm3btuTk5LS0tEOHDh08eHDHjh1r1qyZMWOGnZ2dkpISAEBRUXHcuHEHDhxAi00lrKamJjY2Vk9PT7Cn282bN2F39FOkj/hPnz4NGzZMVlY2OTlZYgfFMCwpKYnNZo8cORLdGt4WHA5n7dq1MjIygjE0HEe6MAzLysoaOHAgAMDT01MCn/F4EewO9nVFwIoVK7Kzs+vr69vyvTwe7969e5s3bx45ciSdTpeXl/f29u7Iu6JLHoZhJSUl4eHhenp6FArFxMQkJiYmJSUlPT39ypUr79+/J8gyAXJHfGlpqbm5ebdu3cT0aLHWPXz4UF9f39LSkkSxAkVubm737t0VFRXj4uLEN7Zw9uxZIyMjJSWlPXv2EOTd9TMlJSULFiyQkZHR0tIKDw8X8WK/vLx869atffr0AQCMHz8er83WkR/V1dVduHAhLCzMwcFB8LTkrygUyte9kQWUlZXt7e1DQkKysrIgbnZG4oh/8eIF9IQtLS3t06dPt27d0EqbFvF4vJiYGBqNNnHiRAmsOq2vr4+MjKTRaB4eHsSciRU89VBWVtbAwGDnzp1tPGdvCwzDMjMzHRwcAAA+Pj6SfG6w1ONyuWfPnnV3dxfMjujp6Xl6em7cuPHEiRP5+fmVlZVfr0obGhoqKysLCgpOnTq1adMmLy8vAwMDwfjbpEmTMjIyJD99QtaILy8vNzY2tre3hz5OUlVVZWtr26NHDynerE44NTU148aNk5GR2bVrlyRPq69evaqjo2NiYkK0LeRu3LhhamoqLy//xx9/iG/dZ0ZGhoGBgYqKyv79+8V0iI6jpqZm8+bNgsE0e3v7hISE4uLi9r6YX7x4sXPnTsGNVFpaWjExMdXV1WJq+EekjPgvX77069evV69eBFmgWllZaWpqamtri2a9vqqsrLS1tdXR0YFyn2plZeWAAQM0NTUJ8thYDMM2b95Mp9NdXV0lsNiurq4uPDycSqXOmDEDvSaFw+FwoqOj1dXVFRQUli5diss2eYK9DhUVFVVUVNauXYvjNVwryBfxGIa5u7vr6OgQal3q69evtbW1PT09CT4KLBnv3r3r0aOHqakpxN1Z6+vr3dzcFBQUoG/LVVtb6+bmxmQyExISJPnyyM7O1tbWNjMzQxsutVdWVpZg9mj16tW4n0d++vRp/fr1ysrK3bp1y8zMxLf4j8gX8YmJiTQaLTc3F3YjzV2+fJlKpe7duxd2I5B9/vzZwsLC3Nwc+sgVl8udMWOGsrIyxKUmHz58sLe319bWvnPnjuSPXl5e7uTkpKWlhfb8aaOamhpvb28AwNSpU8U6e1RWVubl5QUAmDZtmljnjUgW8U+ePGGxWBs2bIDdSMvWrVvHZrMLCwthNwINh8MZNGiQgYEBQbb0aWpqGjNmjLa2NpQnMpaVlZmZmZmYmEB8HmRdXd348eMVFRUJeFZENI8fPzYzM9PS0jp//rxkjpidnd2lSxcTExPxnYWQKeIxDBs4cKCDgwNhbzji8Xi2trZDhw7tsMM18+fPV1NTI9TzPWpra+3s7Pr16yfhbSeqq6utrKx69+4NfXFLU1PT1KlTVVRUHj16BLcTIsvKypKXlx86dKiEV+hVVFSMHDmSzWaL6fFnZIr4gwcP0mi0+/fvw26kNXfu3KFSqUeOHIHdCAR///03AICAW2y/fv1aVVV1wYIFEjtiQ0PDkCFD9PX13759K7GDtqKxsXHUqFFdunSRymfXiS41NZXBYMybN4/L5Ur+6DweLygoiEajiWMRFGkinsPh6OjoSPJdKrQ5c+Z07dq1o+2GWFJSoqiouHTpUtiNtOzUqVMAAIk9JzYwMFBFRYVQQ3Y1NTXW1tY2NjboiZXNJCcnUyiUtWvXwr343rBhA4VC2bVrF75lSRPxiYmJMjIypLiPtKSkhMlkdrR518mTJ5uamhI5Pnx9ffX19SVwn2FaWhoA4OTJk+I+UHu9fPlSRUVl0aJFsBshkIyMDBqNFhMTA7sRPp/Pj42NpVKpaWlpONYkR8Q3NjYaGBjMnTsXdiNt5e/vb2Rk1HE2Ajx//jwA4NKlS7AbaU1FRYWqqmpERIRYj1JaWqqsrBwUFCTWowjtxIkTAAAJrNUjhdu3b7PZ7MWLFxNn8iw0NJTFYl2/fh2vguSIeMHrkkTLe58+fdpx3kgYhpmbm0+ePBl2I7+2Y8cOFotVWloqvkO4u7ubmJgQ+YkCXl5ehoaGZHyAEb6qqqoMDAxcXV0JtXwDw7ApU6bo6uriteaYHBE/YcKEgQMHwu6ifRwcHKZMmQK7C0k4deoUhUKBshNcezU0NOjq6gYHB4up/sWLFwEAFy5cEFN9XJSXl6uoqKxcuRJ2IzBhGObm5mZgYEDAJyNWV1cbGxuPHj0al88eEkT8hw8fmExmUlIS7EbaZ+fOnTIyMp8+fYLdiHhhGGZrazthwgTYjbTV1q1b5eTkKioqcK+MYZilpeXEiRNxr4y7hIQEGRkZgty7AMWBAwdoNNq///4Lu5GW3b17l8Fg7NmzR/RSJIj41NRUKpWK04dtUaw9AAAA+9jvV25n+n+zC6g/HuMrlZWVFArl6NGjONQisNu3bwMAcBw6FLe6ujplZeU//vgD98oZGRkAgMePH+NeGXcNDQ06OjpLliyB3QgcVVVVnTp1Iux8iUBYWJiamprowzUkiHhfX19bW1tcSv1/wH8f8YI//f9c//7/RGJhYREQEIBDIQJbsGBB9+7diTNb1RYzZ840NzfHtyaGYf3793d1dcW3rPjExsbKy8tD32QCivnz52tra0tyu0ch1NbWdu3a1d/fX8Q6JIh4AwOD0NBQPCpl+gNgH5sZa/9dxGf6N4v0omZfILRFixZ1795d5DLE1djYqK6uvmbNGtiNtM+VK1cAAPhu25KXlwcAuHbtGo41xaq2tlZJSWnLli2wG5G0N2/eMBgMUuy0/Ndff9FoNBGXmRA94svLy/G6YbIo1h4A/8zmCf5DwuOX8ceOHQMAEGTHY3EQZGVBQYEINf53ZfWTQTL8x9B4PJ6Wlha+n0wLFy40NjYm19WMn5+fhYUF7C4kbcGCBfr6+qS4M5HL5Xbv3n3WrFmiFCF6xAtCpLi4WORKglP4ouYB3mKctxD7wnjy5Am5xqnba+XKldra2qLkWqb/t//QgjT/5h9ebGNo7u7uOK7Ramxs1NDQWL16NV4FJePy5csAAILvCIKviooKGRmZ7du3w26krfbu3ctkMkVZ5kv0iN+1axeTyRR944ivAd881DP9fzb5KnqUNDQ00Gi0ffv2iVqIqJycnKZOnYpjwWYhLr4xNMHrCq+14Tk5OQAAUZaNNruWaWlJgFiuZjp16rR27VocapFEXFycvLw8xCeptheHw1FRURFlb12iR3xoaKixsbGoVf5/jOZ///N9xDd/w7SY+0IxMDBYvny56HUIiMfjsdns+Ph4PIt+9+sQ4xjao0ePAAA3btwQtRCfz+fzIyMjO3fuLMrVzC9+LrFdzUyZMmXQoEE4FCKJvn37enl5we6ifWbNmtWzZ0+hX11Ej/g5c+ZYW1uLWOSbU3i+JM/i+Xy+hYXFwoULcShEPC9fvsT9Np/vfhviHEPjcDgUCiU5OVnUQnw+n893dnb28PAQpULrES++q5nExEQWi9VB7nTNz88HAFy8eBF2I+1z9epVAMDdu3eF+3aiR7ynp6eoZxnfB7wkx+L5fL6jo6OPjw8OhYjn7NmzAAA8N6dt9nEr5k9fvFZqCa5mtm3bJkqRVjNbjFczDx8+xPFqhuBiY2MVFBRE2Dnqu7GynwypiWU8TU1NTeiN0oge8W5ubmPGjBGlQkujnN/+ZsT4/uHz+cOHD580aRIOhYhn586ddDpd9Husf/qeEPMYmouLCy47TAiuZkR8TlBrLzlxnoXU19fjeDVDcGPHjh09ejSuJVsbQcNxPM3NzW3YsGHCfS/RI97d3X3o0KG4lmz2jvnxF4FjwvMHDhw4ffp0PCoRzsaNG1VUVHAt+d/H8X+/DDGfxf/2228inj0InDt3TvSrmR9ORJrfuCHWq5mwsDAcChEbl8tVVFTctGkTnkV/Ma+HW5Js27aNzWYLt9CT6BE/a9YsOzs7XEv+8O/+/VsIz4Dn8/v27Ttv3jx8ahHMypUr9fT08K76zS9DzGNonp6euKybTExMxOVq5hstfNSJ9WrG3d1d9DoE9/z5cwDAP//8g2PN738JYhwPyM3NBQDk5+cL8b1Ej/jg4OCePXviWrKlf/bvTqJwCZD/dO/eHadbcwlnyZIlJiYmeFf99qJKvGNos2bNsrGxEb3Opk2b8L6a4X+XHuK/mhk7diwOhYjtzJkzAICSkhL8Srbh3BCnX1NlZSUAID09XYjvJXrEb9myRUlJiVw3DX7F4/FkZWVxXlZIGCtWrNDX18e76rdvG/GOoc2YMWPAgAGi14mMjBTD1cw3P7v4r2Y6wrrJLVu2yMnJ4ZgkzV+dYv4kVlVVjY6OFuIbiR7xgs9eUjzP70evXr0ChN89XGgbNmxQU1MTrcb3N7f++DYR5xiam5sbLpNvYrya+e9nJcfVDMGFhITgcIfN//xw/iHm8bTevXsLt/ya6BEvGEG7fPky7EaEkZWVBQB48+YN7EbEYvv27UwmU9TToubr0H444xHbGNrQoUNxWey0fPly/K9mvgsQsV/NODs741GJ0ObNm2dlZYVbuR+zW8xn8fb29sItvyZ6xPN4PBUVFXHs7i0Ba9euVVdXJ+ko0y+dPHmSvBdYfD7fxMQElx3DY2Ji1NXVRauR6d/C2urmZ4hiupqZMGHCqFGj8KlFYF5eXjh+krWQ52IeTxsxYoRwT5shesTz+XxXV1eSvgQHDx4srYvi+Xx+YWEheS+wGhsb6XT6rl27RC+VkJAg+tVM80WTP6aC2K5mhg0bJsWv0q88PDwGDx6MT62WV7yLdzxt3Lhx48ePF+IbSRDx27Ztk5eXJ8Xmn9/icDgyMjI7d+6E3Yi4NDY2MhgMXFJS8gTPT79y5YropQTPji8rKxO9FBQ9evRYvHgx7C7Ezt/fH6/l1z+5p0m842mDBg2aNm2aEN9IgogvKioCAJw5cwZ2I+0jGMd48eIF7EbEqG/fvn5+frC7EMaBAweoVCouT9YVXM3g8mkheU1NTeT9nG6XxYsX47T8+udTqOIcT+vXr9/s2bOF+EYSRDyfz7ezsxNxmyfJmzhxopOTE+wuxGvJkiXdunWD3YUwfHx88FpGIhjz2b17Ny7VJExwNUPS0bZ2iYyM7NKlCw6FWl8kI7bxNENDw5CQECG+kRwRn5CQwGazP3/+DLuRtqqqqmKxWFJ/coT/TmSSgt/TIvl8Pt/KymrmzJl4VZOklJQUKpVaVVUFuxGxO3DgAACApHtqNjY20mi0PXv2CPG95Ij4Dx8+yMnJkWhdTXR0tIKCgtS/c2pra+Xl5ePi4mA30j737t0DAOTk5OBVMDg42MjICK9qkuTr6yv6Zt2k8O+//wLSPuKqoKBA6FcsOSKez+cvWbKkc+fOHA4HdiO/VldXp6mp2RG2duLz+d7e3v369YPdRfsEBQUZGhriuJg1MzOTpDdAGBoaLlu2DHYXkvD582cAwF9//QW7EWGkp6cDACoqKoT4XtJE/Pv379lsNikeuhgXFycnJyfc74N0Ll26BER7pp2ENTU1de7cOTIyEseaNTU1cnJyIm4ZL3n379/vIAPxAr169SLpnoBBQUFC35pLmojn8/lhYWFqamqVlZWwG2lNeXm5iorKihUrYDciITwez8TEhEQj0SkpKXQ6/dWrV/iWnT59OulGPIKDg/X19XHdI5PQFi5ciPeehhJiZWUVEBAg3PeSKeJra2u7du3q7+8Pu5HWeHt7GxoaknRWRzj79+9nMBikGKbg8XhmZmbe3t64V7548aLQ271CweVytbW1O865CP//72AoLS2F3Uj7VFZWUiiUI0eOCPftZIp4Pp+fnp5OoVAIu7GXYIXJ6dOnYTciUY2Njfr6+nPnzoXdyK8dPXqUSqUWFhbiXpnH43Xv3n3WrFm4VxaT1NRUGo328uVL2I1ITm1trYKCwpYtW2A30j7bt28XZT0hySKez+f7+vp26tTp3bt3sBtp7u3btxoaGkJfT5FaSkoKjUYj+HKF2tpaPT098d2rtXfvXiaT+fbtWzHVxxGPx+vVq9eMGTNgNyJpPj4+lpaWsLtoHzs7u6lTpwr97eSL+Nra2l69erm4uBBqS4OGhgZnZ2dzc/P6+nrYvUCAYdjAgQMdHR2JvOdaeHi4WOdyGhsb9fT0hNvxVcLS0tIoFEpBQQHsRiTt8uXLAIB79+7BbqSt8vPzAQBZWVlCVyBfxPP5/IKCAhUVFU9PT4LMFPF4PHd3dzU1taIinO5WJqEnT54wGAzCriq5desWg8FISkoS61GSk5PpdPqjR4/EehQR1dXVGRgYiGNCgvgwDLOwsCDRgwy9vLzMzMxECTpSRjyfz7927RqbzV68eDH000YMwxYsWCArK3vz5k24nUAXFxfHZDLv3LkDu5HmPn36ZGho6ObmJu5XC4ZhTk5Ozs7O0F+WrVi+fLmKikp5eTnsRuD4+++/qVQqKc7GXr58SafTDx48KEoRskY8n88/deoUg8GYO3cul8uF1QOXy501axaTySTdLmnigGGYq6trt27dCLWwlcfjubq6GhgYSOZm44cPH9LpdMLewJGXl8dkMqV4A9RfEqyqIsWeVz4+PkZGRk1NTaIUIXHE8/n8rKwseXn5SZMmQRkBr6urc3NzU1BQwPex7qT28eNHU1NTW1vbmpoa2L3w+Xw+hmHz5s2Tk5O7ffu2xA66adMmFot19+5diR2xjT5//tytW7exY8cS+SJDAs6dOwcAuHTpEuxGWpObmwsAOHXqlIh1yB3xfD7/1q1bmpqalpaWT58+leRxCwoK+vTp06lTp7y8PEkel/hev36to6MzcuRIIuw2sWbNGgaDIcpslRAwDBs7dqyRkdGHDx8kedzW8Xi833//XU9Pj1BdwTJx4kQzM7OGhgbYjbSsqanJwsJi3LhxopcifcTz+fySkhJnZ2cFBYU///xTAqcnGIbt27dPTk5u0KBBpLuNQjKePHmioaExZMiQ6upqWD1gGLZs2TIajXb48GHJH/3Dhw8mJiYODg61tbWSP/qPMAwLDAyUlZX9999/YfdCCCUlJcrKyosWLYLdSMtCQkIUFBRwedqENEQ8n89vamoKDw+n0WiDBg0S634pjx49GjBgAI1GW7FiBcQ5AOJ7+vSpvr5+3759odzB0NDQ4O3tLSMjc/LkSckfXeDly5ddunQZM2YMEU4Vo6Ki6HT62bNnYTdCIIKbXdPT02E30tyZM2dEuZ21GSmJeIG7d+/279+fwWAEBAQ8f/4c3+LPnj3z9/en0+kODg4PHjzAt7hUevv2rbm5uZaW1sWLFyV53OfPn9vY2KioqOC4XbBwHj16pKamNnz48C9fvsDqAcOw8PBwKpUq4sIMqbR48WJlZWVCLXItKChQU1PD8V5xqYp4Pp/P4/H2799vbGxMo9E8PT1zcnJEHLrh8XiXL1+eOnUqlUrt3r37gQMHCLIYnxRqa2v9/PwoFEpERIQEhuYxDDt06JCysnL//v1x32hMOPn5+Xp6ejY2NlAe7trY2Dhz5kwWi5WWlib5oxNfY2PjqFGjunTpQpBXS0lJiZ6e3pAhQ3C88pO2iBfgcrmHDh2ysrICABgYGISHh1+5cqVd/2ocDic7Ozs0NLRr164AgH79+h0+fBiNzAjn4MGDysrKRkZGYh0oKCgoGDJkCI1GCwkJIdSdz2/evOnVq5e2traEt+199epV//79lZWVs7OzJXlccqmpqbGzszMxMSkpKYHbybt373r27Nm3b198Z7CkM+K/evDgQXBwsI6ODgCAzWYPHjx44cKFCQkJ58+fv3fv3vPnzysrKysqKp4/f37v3r2srKyEhIQFCxa4uLjIyMgAAHR1dZcuXUqo6ziSKisrmz59OgBgxIgRuI+fFBcXz5o1i8Fg9O/fn5j3ptfU1EyfPp1KpUZGRkpgaB7DsKNHj6qoqFhbW+M+Yil9Kisr+/Xrp6enB3Gj0KKiIkNDQ3Nzc9yv9qQ84gUwDCsoKNi+ffvkyZN79+7NYrHAT8jIyPTp02fKlCk7duwoLCzs4MuHcZeTkzN48GAAgJOTU2pqqoirTXg83sWLF93d3QVjaMnJyQQfQ9u7d6+CgoKJiYlYt0otKioaMWIEhUIJDAwkwkwvKVRXVw8dOlRNTQ3KYvmrV69qIkNtNAAAA7FJREFUamoOHDjw06dPuBfvEBHfDJfLffHixe3bty9dunTixImTJ09eunTp9u3bL1++JHhGSIfr16//9ttvdDpdQUHBy8vr8OHD7TpzqampOXfu3NeLMxsbGxKNob19+9bd3R0AMGbMmOvXr+Nb/OXLl3PnzmWxWNbW1rdu3cK3uNRraGjw9fWlUqmrVq2S2MuJx+NFRUUJJg7FdP9mR4x4hAjKyspiY2Otra0pFAoAoGfPnh4eHpGRkYcOHfrnn3/+/fff/Pz8p0+f3rlz5/Lly2lpaRs2bPDz8xOsmAIAdOvWLSQkhEQPFPzWpUuXBgwYAAAYNGjQkSNHRHxvC1YEeHp60un0bt26JSUlkeUDj4CSk5NlZWWdnZ0fP34s7mMVFBQIxoT37NkjvgEDFPEIZB8+fDh+/PiCBQsGDx6sq6v7szE0dXV1e3t7b2/vpKQk6XiQRU5OzpgxY6hUqpKSkp+f37Fjx9q1t09dXd3FixdDQkIEKwKsrKxSUlJE3M8E4fP5T548cXR0pNPpS5YsEfpBHK378uVLWFgYg8Gws7N7+PChOA7xFYp4hFhqa2tfv379+PHj69evX7169f79+y9evJDMDmJQlJaWbtq0ydLSEgBAoVDMzc2nT5++du3ao0ePXrlyJS8vr6io6Pnz5/fv38/NzT116tTmzZsDAgKcnJwEU0p6enrBwcHijomOBsOw/fv3a2hoKCsrR0REVFRU4FX5w4cPkZGRKioqqqqqe/bskcDIMIp4BCGE8vLyI0eOzJkzZ8CAAZ07d/7Z1YySkpKNjY2np2diYuKzZ8/QigDxqa6u3rBhQ6dOndhs9rRp086dOyf0CBiXy71w4cL06dPl5OTU1dXXr18vjpnVFqGIRxAiqq6uFpy85+TkZGdn37lzp6ioqKKiAmW6hNXV1e3atat///4AAC0trWnTpiUlJRUXF//yF4Fh2IsXL/bv3z99+nRtbW3B0oCEhAQJb8KKIh5BEOTXCgsLV61a5eTkJJjwl5WVtbCwmDRp0ty5c5ctW7Z27dq1a9eGhITMnTt38uTJVlZW8vLyAADBlicrV66EtTQARTyCIEg71NTUXLhwYevWrXPmzBkyZIiVlVX37t21tbW1tLSMjY0tLS1dXFxmz54dFxeXlZUFcXsiARTxCIIgUgtFPIIgiNRCEY8gCCK1UMQjCIJILRTxCIIgUgtFPIIgiNRCEY8gCCK1UMQjCIJILRTxCIIgUgtFPIIgiNRCEY8gCCK1/g+y5s9KMiWfaQAAAABJRU5ErkJggg==" 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1、执行添加19,变为:
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" 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2、19<40,与40交换位置:
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" 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3、19<20,与20交换位置:
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" alt="" />
4、19>10,终止上浮操作,最后得到的数列为:
[10,19,30,20,30,50,70,40]
满足了最小堆的性质。
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