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  1. / Concurs Mate-Info - aprilie 2015
  2.  
  3. // Subiectul 3 - Matrice rara
  4.  
  5.  
  6.  
  7. /**
  8.  
  9. * Se dau 2 matrice rare, se cere afisarea sumei lor sub forma unul tablou dimensional
  10.  
  11. *
  12.  
  13. *
  14.  
  15. *
  16.  
  17. * Exemplu : {
  18.  
  19. * n = m = 3
  20.  
  21. * Matricea A
  22.  
  23. * 2 2 2
  24.  
  25. * 3 3 3
  26.  
  27. * 1 2 5
  28.  
  29. * 3 1 2
  30.  
  31. * 1 3 5
  32.  
  33. * -1-1-1
  34.  
  35. * Matricea B
  36.  
  37. * 3 2 4
  38.  
  39. * 1 2 -5
  40.  
  41. * 2 2 1
  42.  
  43. * -1-1-1
  44.  
  45. *
  46.  
  47. * }
  48.  
  49. *
  50.  
  51. *
  52.  
  53. *
  54.  
  55. */
  56.  
  57.  
  58.  
  59.  
  60.  
  61. #include <iostream>
  62.  
  63. using namespace std;
  64.  
  65.  
  66.  
  67. struct triplet {
  68.  
  69. int row,
  70.  
  71. col,
  72.  
  73. val;
  74.  
  75. triplet * next;
  76.  
  77. };
  78.  
  79.  
  80.  
  81. triplet * getLastNode(triplet * start) {
  82.  
  83. triplet * temp = start;
  84.  
  85. while(temp->next) temp = temp->next;
  86.  
  87. return temp;
  88.  
  89. }
  90.  
  91.  
  92.  
  93. triplet * add(triplet * start,int row, int col, int val) {
  94.  
  95.  
  96.  
  97. // Create new node
  98.  
  99. triplet * new_node = new triplet;
  100.  
  101.  
  102.  
  103. new_node->row = row;
  104.  
  105. new_node->col = col;
  106.  
  107. new_node->val = val;
  108.  
  109.  
  110.  
  111. // If the list has not been created yet
  112.  
  113. if(!start) {
  114.  
  115. start = new_node;
  116.  
  117. start->next = NULL;
  118.  
  119. return start;
  120.  
  121. } else {
  122.  
  123. // If the list has been created, get the last node and make the connection
  124.  
  125. triplet *last = getLastNode(start);
  126.  
  127. last->next = new_node;
  128.  
  129. last = new_node;
  130.  
  131. last ->next = NULL;
  132.  
  133. }
  134.  
  135.  
  136.  
  137. }
  138.  
  139.  
  140.  
  141.  
  142.  
  143. void printList(triplet * st) {
  144.  
  145. triplet *temp = st;
  146.  
  147. for(; temp; temp=temp->next) {
  148.  
  149. cout << temp->row << " ";
  150.  
  151. cout << temp->col << " ";
  152.  
  153. cout << temp->val << " ";
  154.  
  155. cout << "\n";
  156.  
  157. }
  158.  
  159. }
  160.  
  161.  
  162.  
  163. void getInput(triplet **start1,triplet **start2, int &n, int &m) {
  164.  
  165. // Dimensions of the matrix
  166.  
  167. cin >> n >> m;
  168.  
  169.  
  170.  
  171. // When the next triplet is encounterd : -1-1-1
  172.  
  173. // It means we're going to get the input from the second matrix
  174.  
  175. int breakpoits = 0;
  176.  
  177. int col,row,val;
  178.  
  179.  
  180.  
  181. while(1) {
  182.  
  183.  
  184.  
  185. if(breakpoits == 2) {
  186.  
  187. break;
  188.  
  189. }
  190.  
  191. cin >> row >> col >> val;
  192.  
  193.  
  194.  
  195. // Breakpoint encountered
  196.  
  197. if(row == col && col == val && val == -1) {
  198.  
  199. breakpoits++;
  200. continue;
  201.  
  202. }
  203.  
  204.  
  205.  
  206. // Deferencing the pointer that points to this pointer... I know how it sounds!
  207.  
  208. // *start = add(*start,etc..)
  209.  
  210.  
  211.  
  212. // Determine for which matrix we are getting input
  213.  
  214. if(breakpoits == 0) {
  215.  
  216. // First sparse matrix
  217.  
  218. if(!*start1) {
  219.  
  220. // The list has not been created yet
  221.  
  222. *start1 = add(*start1,row,col,val);
  223.  
  224. }
  225.  
  226. else add(*start1,row,col,val);
  227.  
  228.  
  229.  
  230. } else if(breakpoits == 1) {
  231.  
  232. // Second sparse matrix
  233.  
  234. if(!*start2) {
  235.  
  236. // The list has not been created yet
  237.  
  238. *start2 = add(*start2,row,col,val);
  239.  
  240. }
  241.  
  242. else add(*start2,row,col,val);
  243.  
  244. }
  245.  
  246.  
  247.  
  248. }
  249.  
  250. }
  251.  
  252.  
  253.  
  254. // Check if a list has a certain column and row
  255.  
  256. int searchInList(triplet * start, int row, int col) {
  257.  
  258.  
  259.  
  260. triplet *temp = start;
  261.  
  262. while(temp) {
  263.  
  264. if(temp->row == row && temp->col == col)
  265.  
  266. return temp->val;
  267.  
  268. // Keep searching
  269.  
  270. temp = temp->next;
  271.  
  272. }
  273.  
  274.  
  275.  
  276. // Row & Column have not been found
  277.  
  278. return 0;
  279.  
  280. }
  281.  
  282.  
  283.  
  284. void solve() {
  285.  
  286.  
  287.  
  288. triplet *start1=NULL, *start2 = NULL;
  289.  
  290. int n,m;
  291.  
  292. // getInput(**startPointer1,**startPointer2) : **startPointer holds the address of start
  293.  
  294. getInput(&start1,&start2,n,m);
  295.  
  296.  
  297.  
  298. // Final sparse matrix containing the sum of the other 2 sparse matrix
  299.  
  300. int **finalMatrix = new int *[n]; // Rows
  301.  
  302. for(int i =0; i < n; i++) {
  303.  
  304. // Create a new row
  305.  
  306. finalMatrix[i] = new int[m]; // Number of columns
  307.  
  308. for(int j=0; j < m; j++) {
  309.  
  310.  
  311.  
  312. // If a row & col have not been found in any of the 2 lists
  313.  
  314. // c[row][col] = 0
  315.  
  316.  
  317.  
  318. // Search for row and col
  319.  
  320. int value_from_first = searchInList(start1,i+1,j+1);
  321.  
  322. int value_from_second = searchInList(start2,i+1,j+1);
  323.  
  324. finalMatrix[i][j] = value_from_first + value_from_second;
  325.  
  326. }
  327.  
  328. }
  329.  
  330.  
  331.  
  332. // Print the matrix
  333.  
  334. for(int i =0 ; i < n; i++) {
  335.  
  336. for(int j =0; j < m; j++) {
  337.  
  338. cout << finalMatrix[i][j] << " ";
  339.  
  340. }
  341.  
  342. cout << "\n";
  343.  
  344. }
  345.  
  346. delete finalMatrix;
  347.  
  348. }
  349.  
  350.  
  351.  
  352.  
  353.  
  354. int main () {
  355.  
  356. solve();
  357.  
  358. return 0;
  359.  
  360. }
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