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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define MAX_NODES 10000
#define MAX_LINKS 10000
// 節點結構
typedef struct Node {
int id;
int quantumMemories;
} Node;
// 鏈路結構
typedef struct Link {
int id1, id2;
double distance;
double fidelity;
int entangledLinks;
} Link;
// 參數
double alpha, beta, swapProb;
// 節點和鏈路的陣列以及計數器
Node nodes[MAX_NODES];
int nodeCount = 0;
Link links[MAX_LINKS];
int linkCount = 0;
// 計算基礎保真度
double calculate_fidelity(double distance) {
return 0.5 + 0.5 * exp(-beta * distance);
}
// 糾纏鏈路純化操作
double purify_fidelity(double F1, double F2) {
return (F1 * F2) / (F1 * F2 + (1 - F1) * (1 - F2));
}
double probability(double fidelity) {
return exp(-alpha * fidelity);
}
// 新增節點到陣列
void add_node(int id, int quantumMemories) {
if (nodeCount >= MAX_NODES) {
fprintf(stderr, "Error: Exceeded maximum number of nodes.\n");
exit(1);
}
nodes[nodeCount].id = id;
nodes[nodeCount].quantumMemories = quantumMemories;
nodeCount++;
}
// 根據ID查找節點
Node* find_node(int id) {
for (int i = 0; i < nodeCount; i++) {
if (nodes[i].id == id) {
return &nodes[i];
}
}
return NULL;
}
// 新增鏈路到陣列
void add_link(int id1, int id2, double distance) {
if (linkCount >= MAX_LINKS) {
fprintf(stderr, "Error: Exceeded maximum number of links.\n");
exit(1);
}
links[linkCount].id1 = id1;
links[linkCount].id2 = id2;
links[linkCount].distance = distance;
links[linkCount].entangledLinks = 1;
Node *node1 = find_node(id1);
Node *node2 = find_node(id2);
if (node1 == NULL || node2 == NULL) {
fprintf(stderr, "Error: Node not found.\n");
exit(1);
}
node1->quantumMemories--;
node2->quantumMemories--;
links[linkCount].fidelity = calculate_fidelity(distance);
linkCount++;
}
// 初始化節點和鏈路
void initialize_nodes_and_links() {
int totalNodes;
scanf("%d %lf %lf %lf", &totalNodes, &alpha, &beta, &swapProb);
if (totalNodes > MAX_NODES) {
fprintf(stderr, "Error: Total nodes exceed maximum allowed.\n");
exit(1);
}
for (int i = 0; i < totalNodes; i++) {
int id, quantumMemories;
scanf("%d %d", &id, &quantumMemories);
add_node(id, quantumMemories);
}
for (int i = 0; i < totalNodes - 1; i++) {
int id1;
double distance;
scanf("%d %lf", &id1, &distance);
add_link(id1, id1 + 1, distance);
}
}
// 貪婪算法:選擇提升保真度最多的鏈路來進行更新
void greedy_algorithm() {
while (1) {
Link *bestLink = NULL;
double maxFidelityGain = 0.0;
// 遍歷所有鏈路,計算每個鏈路增加一條糾纏鏈路後的保真度增益
for (int i = 0; i < linkCount; i++) {
Link *link = &links[i];
Node *node1 = find_node(link->id1);
Node *node2 = find_node(link->id2);
if (node1->quantumMemories > 0 && node2->quantumMemories > 0) {
// 計算純化後的保真度
double newFidelity = purify_fidelity(link->fidelity, calculate_fidelity(link->distance));
double fidelityGain = newFidelity - link->fidelity;
// 更新最大保真度增益和鏈路
if (fidelityGain > maxFidelityGain) {
maxFidelityGain = fidelityGain;
bestLink = link;
}
}
}
// 如果沒有可用的鏈路進行更新,則退出循環
if (bestLink == NULL) {
break;
}
// 對選中的鏈路進行更新
Node *node1 = find_node(bestLink->id1);
Node *node2 = find_node(bestLink->id2);
node1->quantumMemories--;
node2->quantumMemories--;
bestLink->fidelity = purify_fidelity(bestLink->fidelity, calculate_fidelity(bestLink->distance));
bestLink->entangledLinks++;
}
}
// 打印結果
void print_result() {
// 順著打印鏈路
for (int i = 0; i < linkCount; i++) {
printf("%d %d %d\n", links[i].id1, links[i].id2, links[i].entangledLinks);
}
}
int main() {
// 初始化節點和鏈路
initialize_nodes_and_links();
// 執行貪婪算法
greedy_algorithm();
// 打印結果
print_result();
return 0;
}
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