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socks
Citesti tabloidul local, cum faci in fiecare zi. N-ar trebui, dar asta faci. Printre articole: - "Zece optimizari pe care compilatoarele nu vor sa le stii!" - "Vezi ce olimpic renumit se muta la ASE!" - "Cautand prin borderouri: ce olimpic si-a inlocuit cafeaua de dimineata cu ... FFT-ul de dimineata." - "<M-am gandit la viitorul meu si am decis ca este optim sa fac facultatea la UNIBUC si sa ma sustin financiar facand temele celor de la Poli.> Marturisirea cutremuratoare a unui tanar de clasa a 12-a." - "SONDAJ: Ce se cere mai mult pe piata muncii? Inteligenta, persistenta sau smenul de la Aliens?" Same old. Same old. In schimb, la sectiunea "Barfe despre info-vedete", vezi un articol care te stimuleaza algoritmic: *Alex Velea si iubita au probleme cu.. sosetele?* Renumitul artist-tractorist Alex Velea a fost surprins recent impreuna cu iubita sa cumparand sosete. Dupa cum cititorii nostri stiu prea bine, Alex are o istorie 'complicata':problema/expected cu sosetele. De aceasta data, Alex doreste sa cumpere P tipuri de sosete dintre cele N disponibile la magazinul ales. Fiecare tip este definit de doi parametri: culoarea si marimea. Gurile rele spun ca iubita lui Alex ii impune o restrictie.. neobisnuita achizitiei sale. Ea stie ca Alex este foarte nepasator atunci cand isi imbraca sosetele. Mai exact, pentru Alex este acceptabil sa imbrace doua sosete daca acestea au aceeasi marime *sau* aceeasi culoare. Prietena lui Alex numeste o pereche in care sosetele au aceeasi marime *sau* aceeasi culoare dar *nu au* aceeasi marime *si* aceeasi culoare ca fiind "ciudata". Ea ar dori ca Alex sa-si cumpere P tipuri de sosete astfel incat numarul total de perechi de tipuri de sosete ciudate formate sa fie minim posibil. Ea vrea raspunsul pentru fiecare P de la 1 la K. Date de Intrare: Fisierul de intrare socks.in va contine pe prima sa linie numerele N si K, reprezentand numarul de tipuri de sosete disponibile, respectiv limita superioara a P-ului pentru care prietena lui Alex vrea sa afle raspunsul. Urmatoarele N linii vor contine o pereche culoare marime, culoare fiind un sir de caractere, iar marime este un numar natural. Date de Iesire: In fisierul de iesire socks.out se vor afla K linii, a i-a continand raspunsul pentru P = i. Examples: socks.in 3 3 Nelachet 45 Lachet 43 Lachet 45 socks.out 0 0 2 Explanation: Explicaţie Pentru $P = 1$ Alex poate cumpara oricare dintre cele trei tipuri de sosete. Pentru $P = 2$ Alex va cumpara tipurile $1$ si $2$, care au atat culorile cat si marimile distincte. Astfel, nu va face nicio pereche ciudata. Pentru $P = 3$ Alex va fi obligat sa cumpere si al treilea tip de sosete. Acesta formeaza o pereche ciudata cu tipul $1$ (deoarece au aceeasi marime, dar culori diferite) si cu tipul $2$ (deoarece au aceeasi culoare, dar marimi diferite). Astfel, raspunsul este $2$.
easy
[ "#include <algorithm>\n#include <cmath>\n#include <cstdlib>\n#include <cstring>\n#include <ctime>\n#include <fstream>\n#include <map>\n#include <queue>\n#include <vector>\n\n\nusing namespace std;\n\nifstream\tcin(\"socks.in\");\nofstream\tcout(\"socks.out\");\n\nconst int\tSIZE = 1 << 17;\n\nchar buffer[SIZE];\nint\t\t\tpointer = SIZE;\n\nchar\tAdvance(void)\n{\n\tif (pointer == SIZE)\n\t{\n\t\tfread(buffer, 1, SIZE, stdin);\n\t\tpointer = 0;\n\t}\n\treturn (buffer[pointer++]);\n}\n\nint\tRead(void)\n{\n\tint answer = 0;\n\tchar ch = Advance();\n\twhile (!isdigit(ch))\n\t\tch = Advance();\n\twhile (isdigit(ch))\n\t{\n\t\tanswer = answer * 10 + ch - '0';\n\t\tch = Advance();\n\t}\n\treturn (answer);\n}\n\nconst int\tMAXN = 1000;\nconst int\tINF = 1000000000;\n\nmap<string, int> name;\nint a[1 + MAXN], b[1 + MAXN];\npair<int, int> vn[1 + MAXN];\n\nvoid\tNormalize(int v[], int n)\n{\n\tfor (int i = 1; i <= n; i++)\n\t\tvn[i] = make_pair(v[i], i);\n\tsort(vn + 1, vn + n + 1);\n\tint number = 0;\n\tfor (int i = 1; i <= n; i++)\n\t{\n\t\tif (vn[i].first != vn[i - 1].first)\n\t\t\tnumber++;\n\t\tv[vn[i].second] = number;\n\t}\n}\n\nqueue<int> Queue;\nvector<int> g[1 + 5 * MAXN + 1];\nint flow[1 + 5 * MAXN + 1][1 + 5 * MAXN + 1];\nint best[1 + 5 * MAXN + 1], dad[1 + 5 * MAXN + 1];\nbool inQueue[1 + 5 * MAXN + 1];\n\nvoid\tBuildGraph(int n, int &source, int &sink)\n{\n\tsource = 0;\n\tsink = 5 * n + 1;\n\tfor (int i = 1; i <= n; i++)\n\t{\n\t\tg[source].push_back(b[i]);\n\t\tg[b[i]].push_back(source);\n\t\tg[b[i]].push_back(b[i] + n);\n\t\tg[b[i] + n].push_back(b[i]);\n\t\tg[b[i] + n].push_back(i + 2 * n);\n\t\tg[i + 2 * n].push_back(b[i] + n);\n\t\tg[i + 2 * n].push_back(a[i] + 3 * n);\n\t\tg[a[i] + 3 * n].push_back(i + 2 * n);\n\t\tg[a[i] + 3 * n].push_back(a[i] + 4 * n);\n\t\tg[a[i] + 4 * n].push_back(a[i] + 3 * n);\n\t\tg[a[i] + 4 * n].push_back(sink);\n\t\tg[sink].push_back(a[i] + 4 * n);\n\t}\n}\n\nbool\tOk(int from, int to, int n)\n{\n\tint capacity = 0;\n\tif (from < to)\n\t\tif (to <= 2 * n || from > 3 * n)\n\t\t\tcapacity = INF;\n\t\telse\n\t\t\tcapacity = 1;\n\treturn (flow[from][to] < capacity);\n}\n\nint\tCost(int from, int to, int n)\n{\n\tif (from <= to)\n\t\tif ((from > 0 && to <= 2 * n) || (from > 3 * n && to <= 5 * n))\n\t\t\treturn (flow[from][to]);\n\t\telse\n\t\t\treturn (0);\n\telse\n\t{\n\t\tswap(from, to);\n\t\tif ((from > 0 && to <= 2 * n) || (from > 3 * n && to <= 5 * n))\n\t\t\treturn (-flow[from][to] + 1);\n\t\telse\n\t\t\treturn (0);\n\t}\n}\n\nint\tExtendFlow(int source, int sink, int n)\n{\n\tfor (int i = source; i <= sink; i++)\n\t\tbest[i] = INF;\n\tbest[source] = 0;\n\tQueue.push(source);\n\tinQueue[source] = true;\n\twhile (!Queue.empty())\n\t{\n\t\tint node = Queue.front();\n\t\tQueue.pop();\n\t\tinQueue[node] = false;\n\t\tif (node == sink)\n\t\t\tcontinue ;\n\t\tfor (auto &it : g[node])\n\t\t\tif (Ok(node, it, n) && Cost(node, it, n) + best[node] < best[it])\n\t\t\t{\n\t\t\t\tbest[it] = best[node] + Cost(node, it, n);\n\t\t\t\tdad[it] = node;\n\t\t\t\tif (!inQueue[it])\n\t\t\t\t{\n\t\t\t\t\tinQueue[it] = true;\n\t\t\t\t\tQueue.push(it);\n\t\t\t\t}\n\t\t\t}\n\t}\n\tfor (int node = sink; node != source; node = dad[node])\n\t{\n\t\tflow[dad[node]][node]++;\n\t\tflow[node][dad[node]]--;\n\t}\n\treturn (best[sink]);\n}\n\nint\tmain(void)\n{\n\tint n, k, number = 0;\n\tcin >> n >> k;\n\tfor (int i = 1; i <= n; i++)\n\t{\n\t\tstring s;\n\t\tcin >> s >> b[i];\n\t\tif (!name[s])\n\t\t{\n\t\t\tnumber++;\n\t\t\tname[s] = number;\n\t\t\ta[i] = number;\n\t\t}\n\t\telse\n\t\t\ta[i] = name[s];\n\t}\n\tNormalize(b, n);\n\tint source, sink;\n\tBuildGraph(n, source, sink);\n\tint cost = 0;\n\tfor (int i = 1; i <= k; i++)\n\t{\n\t\tcost += ExtendFlow(source, sink, n);\n\t\tcout << cost << \"\\n\";\n\t}\n\treturn (0);\n}\n", "#include <algorithm>\n#include <fstream>\n#include <map>\n#include <queue>\n#include <string>\n#include <vector>\n\n\nusing namespace std;\n\nconst int\tMaxN = 1010, inf = 1e9;\nclass network\n{\n public:\n\tvoid set_n_sursa_dest_clear(int n1, int sursa1, int dest1)\n\t{\n\t\tn = n1;\n\t\tsursa = sursa1;\n\t\tdest = dest1;\n\t\tg.resize(n + 1, vector<int>());\n\t\td.resize(n + 1, 0);\n\t\tdist.resize(n + 1, 0);\n\t\tdist1.resize(n + 1, 0);\n\t\ttata.resize(n + 1, 0);\n\t\tincoada.resize(n + 1, 0);\n\t\tmuc.clear();\n\t}\n\n\tvoid add_edge(int x, int y, int cap, int cost)\n\t{\n\t\tg[x].push_back(muc.size());\n\t\tmuc.push_back({y, cap, cost, 0});\n\t\tg[y].push_back(muc.size());\n\t\tmuc.push_back({x, 0, -cost, 0});\n\t}\n\n\tvector<int> solve()\n\t{\n\t\tvector<int> ret;\n\t\tbellman_ford();\n\t\tint cost = 0;\n\t\twhile (dijkstra())\n\t\t{\n\t\t\tfor (int nod = dest; nod != sursa; nod = muc[tata[nod]].nod)\n\t\t\t{\n\t\t\t\tmuc[tata[nod] ^ 1].flow++;\n\t\t\t\tmuc[tata[nod]].flow--;\n\t\t\t}\n\t\t\tcost += dist[dest];\n\t\t\tret.push_back(cost);\n\t\t}\n\t\treturn (ret);\n\t}\n\n private:\n\tstruct edge\n\t{\n\t\tint nod, cap, cost, flow;\n\t};\n\tstruct heap\n\t{\n\t\tint nod, c;\n\t\tbool operator<(const heap &aux) const\n\t\t{\n\t\t\treturn (c > aux.c);\n\t\t}\n\t};\n\tvector<edge> muc;\n\tvector<vector<int>> g;\n\tvector<int> dist, dist1, d, tata, incoada;\n\tint n, sursa, dest;\n\n\tvoid bellman_ford()\n\t{\n\t\tfor (int i = 0; i < n; i++)\n\t\t\tdist[i] = inf;\n\t\tqueue<int> q;\n\t\tq.push(sursa);\n\t\tincoada[sursa] = 1;\n\t\tdist[sursa] = 0;\n\t\twhile (!q.empty())\n\t\t{\n\t\t\tint nod = q.front();\n\t\t\tq.pop();\n\t\t\tincoada[nod] = 0;\n\t\t\tfor (vector<int>::iterator it = g[nod].begin(); it != g[nod].end(); it++)\n\t\t\t\tif (dist[muc[*it].nod] > dist[nod] + muc[*it].cost && muc[*it].cap > muc[*it].flow)\n\t\t\t\t{\n\t\t\t\t\tdist[muc[*it].nod] = dist[nod] + muc[*it].cost;\n\t\t\t\t\tif (muc[*it].nod != dest && !incoada[muc[*it].nod])\n\t\t\t\t\t{\n\t\t\t\t\t\tincoada[muc[*it].nod] = 1;\n\t\t\t\t\t\tq.push(muc[*it].nod);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t}\n\t}\n\n\tint dijkstra()\n\t{\n\t\tfor (int i = 0; i < n; i++)\n\t\t\td[i] = dist1[i] = inf;\n\t\tpriority_queue<heap> h;\n\t\td[sursa] = dist1[sursa] = 0;\n\t\th.push({sursa, d[sursa]});\n\t\twhile (!h.empty())\n\t\t{\n\t\t\tint nod = h.top().nod, c = h.top().c;\n\t\t\th.pop();\n\t\t\tif (d[nod] != c)\n\t\t\t\tcontinue ;\n\t\t\tfor (vector<int>::iterator it = g[nod].begin(); it != g[nod].end(); it++)\n\t\t\t\tif (muc[*it].cap > muc[*it].flow && d[muc[*it].nod] > d[nod] + dist[nod] + muc[*it].cost - dist[muc[*it].nod])\n\t\t\t\t{\n\t\t\t\t\td[muc[*it].nod] = d[nod] + dist[nod] + muc[*it].cost - dist[muc[*it].nod];\n\t\t\t\t\tdist1[muc[*it].nod] = dist1[nod] + muc[*it].cost;\n\t\t\t\t\ttata[muc[*it].nod] = (*it) ^ 1;\n\t\t\t\t\tif (muc[*it].nod != dest)\n\t\t\t\t\t\th.push({muc[*it].nod, d[muc[*it].nod]});\n\t\t\t\t}\n\t\t}\n\t\tfor (int i = 0; i < n; i++)\n\t\t\tdist[i] = dist1[i];\n\t\treturn (d[dest] < inf);\n\t}\n} net;\n\nmap<string, int> norm1;\nmap<int, int> norm2;\npair<int, int> v[MaxN];\nint grad_in[MaxN], grad_out[MaxN];\n\nint\tmain(void)\n{\n\tifstream cin(\"socks.in\");\n\tofstream cout(\"socks.out\");\n\tint n, k, nr1 = 0, nr2 = 0, x;\n\tcin >> n >> k;\n\tfor (int i = 1; i <= n; i++)\n\t{\n\t\tstring nume;\n\t\tcin >> nume >> x;\n\t\tif (!norm1[nume])\n\t\t\tnorm1[nume] = ++nr1;\n\t\tif (!norm2[x])\n\t\t\tnorm2[x] = ++nr2;\n\t\tv[i] = {norm1[nume], norm2[x]};\n\t\tgrad_out[norm1[nume]]++;\n\t\tgrad_in[norm2[x]]++;\n\t}\n\tnet.set_n_sursa_dest_clear(2 + nr1 + nr2, 0, nr1 + nr2 + 1);\n\tfor (int i = 1; i <= nr1; i++)\n\t\tfor (int j = 0; j < grad_out[i]; j++)\n\t\t\tnet.add_edge(0, i, 1, j);\n\tfor (int i = 1; i <= nr2; i++)\n\t\tfor (int j = 0; j < grad_in[i]; j++)\n\t\t\tnet.add_edge(nr1 + i, nr1 + nr2 + 1, 1, j);\n\tfor (int i = 1; i <= n; i++)\n\t\tnet.add_edge(v[i].first, nr1 + v[i].second, 1, 0);\n\tvector<int> sol = net.solve();\n\tfor (int i = 0; i < k; i++)\n\t\tcout << sol[i] << \"\\n\";\n}\n", "#include <cstring>\n#include <fstream>\n#include <map>\n#include <string>\n#include <vector>\n\n#define shint short int\n\n#define INF (1000 * 1000 * 1000)\n\nstd::ifstream fin(\"socks.in\");\nstd::ofstream fout(\"socks.out\");\n\nstd::map<std::string, shint> rosu;\nstd::map<int, shint> negru;\n\n#define MAXN 1000\n#define MAXT 2002\n#define MASK 2047\n\n\nbool viz[MAXT];\nint d[MAXT];\nshint q[MASK + 1];\n\nstruct myc\n{\n\tshint x, y;\n\tmyc(shint _x, shint _y)\n\t{\n\t\tx = _x;\n\t\ty = _y;\n\t}\n};\n\nstd::vector<myc> g[MAXT];\n\nshint from[MAXT], cine[MAXT];\nshint red[MAXN + 1], black[MAXN + 1];\nshint st[MAXN], dr[MAXN];\n\ninline int\tbellman(shint t)\n{\n\tmemset(viz, 0, sizeof viz);\n\tfor (shint i = 1; i <= t; i++)\n\t\td[i] = INF;\n\td[0] = 0;\n\tviz[0] = 1;\n\tshint st = 0, dr = 1;\n\tq[0] = 0;\n\n\twhile (st < dr)\n\t{\n\t\tshint x = q[st & MASK];\n\t\tviz[x] = 0;\n\t\tst++;\n\n\t\tfor (shint i = 0; i < (shint)g[x].size(); i++)\n\t\t{\n\t\t\tshint y = g[x][i].x;\n\t\t\tif (d[x] + g[x][i].y < d[y])\n\t\t\t{\n\t\t\t\td[y] = d[x] + g[x][i].y;\n\t\t\t\tfrom[y] = x;\n\t\t\t\tcine[y] = i;\n\t\t\t\tif (viz[y] == 0)\n\t\t\t\t{\n\t\t\t\t\tviz[y] = 1;\n\t\t\t\t\tq[dr & MASK] = y;\n\t\t\t\t\tdr++;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t}\n\n\tint ans = d[t];\n\twhile (t != 0)\n\t{\n\t\tg[t].push_back(myc(from[t], -g[from[t]][cine[t]].y));\n\t\tint u = cine[t];\n\t\tt = from[t];\n\t\tstd::swap(g[t][u], g[t][g[t].size() - 1]);\n\t\tg[t].pop_back();\n\t}\n\n\treturn (ans);\n}\n\nint\tmain(void)\n{\n\tshint n, k;\n\tfin >> n >> k;\n\n\tshint R = 0, N = 0;\n\tfor (shint i = 0; i < n; i++)\n\t{\n\t\tstd::string s;\n\t\tfin >> s;\n\t\tint x;\n\t\tfin >> x;\n\n\t\tshint &u = rosu[s];\n\t\tif (u == 0)\n\t\t\tu = ++R;\n\t\tred[u]++;\n\t\tst[i] = u;\n\n\t\tshint &v = negru[x];\n\t\tif (v == 0)\n\t\t\tv = ++N;\n\t\tblack[v]++;\n\t\tdr[i] = v;\n\t}\n\n\tshint t = R + N + 1;\n\n\tfor (shint i = 1; i <= R; i++)\n\t\tfor (shint j = 0; j < red[i]; j++)\n\t\t\tg[0].push_back(myc(i, j));\n\n\tfor (shint i = 1; i <= N; i++)\n\t\tfor (shint j = 0; j < black[i]; j++)\n\t\t\tg[i + R].push_back(myc(t, j));\n\n\tfor (shint i = 0; i < n; i++)\n\t\tg[st[i]].push_back(myc(dr[i] + R, 0));\n\n\tint ans = 0;\n\tfor (shint i = 1; i <= k; i++)\n\t{\n\t\tans += bellman(t);\n\t\tfout << ans << '\\n';\n\t}\n\n\tfin.close();\n\tfout.close();\n\treturn (0);\n}\n", "#include <bits/stdc++.h>\n\nusing namespace\tstd;\n\nconst int\t\tkMaxN = 5005;\nconst int\t\tkInf = 1e9;\n\nint\t\t\t\tDist[kMaxN], Parent[kMaxN], InQ[kMaxN];\nint\t\t\t\tF[kMaxN][kMaxN], C[kMaxN][kMaxN], K[kMaxN][kMaxN];\nvector<int> G[kMaxN];\n\nvoid\tAddEdge(int a, int b, int c, int k)\n{\n\tG[a].push_back(b);\n\tG[b].push_back(a);\n\tC[a][b] = c;\n\tK[a][b] = k;\n\tK[b][a] = -k;\n}\n\nbool\tBellman(int src, int dst)\n{\n\tint\tnode;\n\n\tdeque<int> Q;\n\tmemset(Dist, -1, sizeof(Dist));\n\tmemset(Parent, -1, sizeof(Parent));\n\tDist[src] = 0;\n\tQ.push_back(src);\n\twhile (!Q.empty())\n\t{\n\t\tnode = Q.front();\n\t\tQ.pop_front();\n\t\tInQ[node] = false;\n\t\tfor (auto vec : G[node])\n\t\t{\n\t\t\tif (F[node][vec] < C[node][vec] && (Dist[vec] == -1 || Dist[vec] > Dist[node] + K[node][vec]))\n\t\t\t{\n\t\t\t\tDist[vec] = Dist[node] + K[node][vec];\n\t\t\t\tParent[vec] = node;\n\t\t\t\tif (!InQ[vec])\n\t\t\t\t{\n\t\t\t\t\tQ.push_back(vec);\n\t\t\t\t\tInQ[vec] = true;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t}\n\treturn (Parent[dst] != -1);\n}\n\nint\tMaxFlowIter(int s, int d)\n{\n\tint\tcost;\n\tint\tpar;\n\n\tassert(Bellman(s, d));\n\tcost = 0;\n\tfor (int node = d; node != s; node = Parent[node])\n\t{\n\t\tpar = Parent[node];\n\t\tcost += K[par][node];\n\t\tif (par == s || node == d)\n\t\t{\n\t\t\tK[par][node] += 1;\n\t\t\tK[node][par] -= 1;\n\t\t}\n\t\tF[par][node] += 1;\n\t\tF[node][par] -= 1;\n\t}\n\treturn (cost);\n}\n\nint\tAlloc(void)\n{\n\tstatic int\tnodes;\n\n\treturn (nodes++);\n}\n\ntemplate <typename T>\nint\tNormalize(T str)\n{\n\tstatic int\tvals;\n\n\tstatic map<T, int> Map;\n\tint &ret = Map[str];\n\tif (ret == 0)\n\t\tret = ++vals;\n\treturn (ret - 1);\n}\n\nint\tmain(void)\n{\n\tint\ts;\n\t\tstring a;\n\t\tint b;\n\tint\tx;\n\tint\ty;\n\tint\tans;\n\n\tfreopen(\"socks.in\", \"r\", stdin);\n\tfreopen(\"socks.out\", \"w\", stdout);\n\tios_base::sync_with_stdio(false);\n\tcin.tie(0);\n\tint n, k;\n\tcin >> n >> k;\n\ts = 2 * n, d = 2 * n + 1;\n\tfor (int i = 0; i < n; ++i)\n\t{\n\t\tAddEdge(s, i, kInf, 0);\n\t\tAddEdge(i + n, d, kInf, 0);\n\t\tK[i][s] += 1;\n\t\tK[d][i + n] += 1;\n\t}\n\tfor (int i = 0; i < n; ++i)\n\t{\n\t\tcin >> a >> b;\n\t\tx = Normalize(a);\n\t\ty = Normalize(b);\n\t\tAddEdge(x, y + n, 1, 0);\n\t}\n\tans = 0;\n\tfor (int i = 0; i < k; ++i)\n\t{\n\t\tans += MaxFlowIter(s, d);\n\t\tcout << ans << '\\n';\n\t}\n\treturn (0);\n}\n", "#include <bits/stdc++.h>\n\nusing namespace\tstd;\n\nconst int\t\tMAX_N = 1000 + 1;\n\nconst int\t\tMAX_NOD = 1 + 1 + MAX_N + MAX_N + 1 + 1;\nconst int\t\tS = 0;\nconst int\t\tSS = 1;\nconst int\t\tD = MAX_NOD - 1;\n\nconst int\t\tINF = (1 << 30) - 1;\n\nstruct\t\t\tEdge\n{\n\tint\t\t\tto;\n\tint\t\t\tcost;\n\tint\t\t\tcapacity;\n\tint\t\t\tflow;\n\n\tint\t\t\treverse;\n};\n\nEdge\t\t\tedgeList[MAX_NOD * MAX_NOD];\nint\t\t\t\tedgeListAt;\n\nvector<int> G[MAX_NOD];\n\nint\t\t\t\tBest[MAX_NOD];\nint\t\t\t\tTT[MAX_NOD];\n\nint\t\t\t\tcolorCnt[MAX_N];\nint\t\t\t\tsizeCnt[MAX_N];\nint\t\t\t\tsocksCnt[MAX_N][MAX_N];\n\nint n, k;\n\nint maxColor, maxSize;\n\nint\tcolorNode(const int color)\n{\n\treturn (color + SS + 1);\n}\n\nint\tsizeNode(const int size)\n{\n\treturn (size + MAX_N + SS + 1);\n}\n\nvoid\taddEdge(int from, int to, int capacity, int cost)\n{\n\tconst int\tnow;\n\tconst int\trev;\n\n\tnow = edgeListAt;\n\trev = now + 1;\n\tedgeListAt += 2;\n\tEdge &eNow = edgeList[now];\n\teNow.to = to;\n\teNow.cost = cost;\n\teNow.capacity = capacity;\n\teNow.flow = 0;\n\teNow.reverse = rev;\n\tG[from].push_back(now);\n\tEdge &eRev = edgeList[rev];\n\teRev.to = from;\n\teRev.cost = 0;\n\teRev.capacity = 0;\n\teRev.flow = 0;\n\teRev.reverse = now;\n\tG[to].push_back(rev);\n}\n\nvoid\taddStaticEdges(void)\n{\n\tfor (int i = 0; i < maxColor; ++i)\n\t{\n\t\tassert(colorCnt[i] > 0);\n\t\tfor (int j = 0; j < colorCnt[i]; ++j)\n\t\t{\n\t\t\taddEdge(SS, colorNode(i), 1, j);\n\t\t}\n\t}\n\tfor (int i = 0; i < maxSize; ++i)\n\t{\n\t\tassert(sizeCnt[i] > 0);\n\t\tfor (int j = 0; j < sizeCnt[i]; ++j)\n\t\t{\n\t\t\taddEdge(sizeNode(i), D, 1, j);\n\t\t}\n\t}\n\tfor (int i = 0; i < maxColor; ++i)\n\t{\n\t\tfor (int j = 0; j < maxSize; ++j)\n\t\t{\n\t\t\tif (socksCnt[i][j])\n\t\t\t{\n\t\t\t\taddEdge(colorNode(i), sizeNode(j), socksCnt[i][j], 0);\n\t\t\t}\n\t\t}\n\t}\n}\n\nint\t\t\t\ttotalFlow = 0;\nint\t\t\t\ttotalCost = 0;\n\nbool\tdijkstra(void)\n{\n\tint\t\t\tnow;\n\tconst int\tcost;\n\tconst int\tnext;\n\n\tfor (int i = 0; i <= D; ++i)\n\t{\n\t\tBest[i] = INF;\n\t\tTT[i] = -1;\n\t}\n\tconst auto comp = [&](int nod1, int nod2) -> bool {\n\t\tif (Best[nod1] == Best[nod2])\n\t\t{\n\t\t\treturn (nod1 < nod2);\n\t\t}\n\t\treturn (Best[nod1] < Best[nod2]);\n\t};\n\tset<int, decltype(comp)> Q(comp);\n\tQ.insert(S);\n\tBest[S] = 0;\n\twhile (!Q.empty())\n\t{\n\t\tnow = *Q.begin();\n\t\tQ.erase(Q.begin());\n\t\tif (now == D)\n\t\t{\n\t\t\treturn (true);\n\t\t}\n\t\tfor (const auto iNext : G[now])\n\t\t{\n\t\t\tconst Edge &eNext = edgeList[iNext];\n\t\t\tif (eNext.capacity == eNext.flow)\n\t\t\t{\n\t\t\t\tcontinue ;\n\t\t\t}\n\t\t\tcost = eNext.cost;\n\t\t\tnext = eNext.to;\n\t\t\tif (Best[now] + cost < Best[next])\n\t\t\t{\n\t\t\t\tQ.erase(next);\n\t\t\t\tBest[next] = Best[now] + cost;\n\t\t\t\tQ.insert(next);\n\t\t\t\tTT[next] = iNext;\n\t\t\t}\n\t\t}\n\t}\n\treturn (false);\n}\n\nint\trunFlow(void)\n{\n\tconst int\tfmin;\n\tint\t\t\tnowCost;\n\t\tint prev;\n\n\tassert(dijkstra());\n\twhile (dijkstra())\n\t{\n\t\tfmin = 1;\n\t\tnowCost = 0;\n\t\tfor (int now = D; TT[now] != -1; now = prev)\n\t\t{\n\t\t\tEdge &edge = edgeList[TT[now]];\n\t\t\tassert(edge.to == now);\n\t\t\tEdge &prevEdge = edgeList[edge.reverse];\n\t\t\tprev = edgeList[edge.reverse].to;\n\t\t\tedge.flow += fmin;\n\t\t\tnowCost += fmin * edge.cost;\n\t\t\tprevEdge.flow -= fmin;\n\t\t\tnowCost -= fmin * prevEdge.cost;\n\t\t}\n\t\ttotalFlow += fmin;\n\t\ttotalCost += nowCost;\n\t}\n\treturn (totalCost);\n}\n\nint\tmain(void)\n{\n\tconst int\tnow;\n\tconst int\tnow;\n\tconst int\ticolor;\n\tconst int\tisize;\n\n\tifstream in(\"socks.in\");\n\tin >> n >> k;\n\tvector<string> colors(n);\n\tvector<int> size(n);\n\tmap<string, int> colorNorm;\n\tmap<int, int> sizeNorm;\n\tfor (int i = 0; i < n; ++i)\n\t{\n\t\tin >> colors[i] >> size[i];\n\t\tif (!colorNorm.count(colors[i]))\n\t\t{\n\t\t\tnow = colorNorm.size();\n\t\t\tcolorNorm[colors[i]] = now;\n\t\t}\n\t\tif (!sizeNorm.count(size[i]))\n\t\t{\n\t\t\tnow = sizeNorm.size();\n\t\t\tsizeNorm[size[i]] = now;\n\t\t}\n\t\ticolor = colorNorm[colors[i]];\n\t\tisize = sizeNorm[size[i]];\n\t\tsocksCnt[icolor][isize]++;\n\t\tcolorCnt[icolor]++;\n\t\tsizeCnt[isize]++;\n\t}\n\tmaxColor = colorNorm.size();\n\tmaxSize = sizeNorm.size();\n\taddStaticEdges();\n\tofstream out(\"socks.out\");\n\tfor (int i = 1; i <= k; ++i)\n\t{\n\t\taddEdge(S, SS, 1, 0);\n\t\tout << runFlow() << \"\\n\";\n\t}\n\treturn (0);\n}\n" ]
[ "import sys\nfrom collections import defaultdict\n\nR = 0\nN = 0\n\nrosu = defaultdict(int)\nnegru = defaultdict(int)\n\nMAXN = 1000\nMAXT = 2002\nMASK = 2047\n\nINF = 1000*1000*1000\n\nviz = [False for i in range(MAXT)]\nd = [INF for i in range(MAXT)]\n\nq = [0 for i in range(MASK+1)]\n\nfromx = [0 for i in range(MAXT)]\ncine = [0 for i in range(MAXT)]\n\ng = [[] for i in range(MAXT)]\n\nred = [0 for i in range(MAXN+1)]\nblack = [0 for i in range(MAXN+1)]\n\nst = [0 for i in range(MAXN)]\ndr = [0 for i in range(MAXN)]\n\ndef bellman(t) -> int:\n global viz\n global d\n global g\n global fromx\n global cine\n global q\n viz = [False for i in range(MAXT)]\n d = [INF for i in range(MAXT)]\n d[0] = 0\n viz[0] = True\n stp = 0\n drp = 1\n q[0] = 0\n while stp < drp:\n x = q[stp & MASK]\n viz[x] = False\n stp += 1\n for i in range(len(g[x])):\n y = g[x][i][0]\n if (d[x] + g[x][i][1] < d[y]):\n d[y] = d[x] + g[x][i][1]\n fromx[y] = x\n cine[y] = i\n if not viz[y]:\n viz[y] = True\n q[drp & MASK] = y\n drp += 1\n ans = d[t]\n while t != 0:\n g[t].append((fromx[t], -g[fromx[t]][cine[t]][1]))\n u = cine[t]\n t = fromx[t]\n g[t][u], g[t][-1] = g[t][-1], g[t][u]\n g[t].pop()\n return ans\n\nif __name__ == '__main__':\n n, k = map(int, sys.stdin.readline().split())\n for i in range(n):\n s, x = map(int, sys.stdin.readline().split())\n u = rosu[s]\n if u == 0:\n R += 1\n u = R\n red[u] += 1\n st[i] = u\n v = negru[x]\n if v == 0:\n N += 1\n v = N\n black[v] += 1\n dr[i] = v\n t = R + N + 1\n for i in range(1, R+1):\n for j in range(red[i]):\n g[0].append((i, j))\n for i in range(1, N+1):\n for j in range(black[i]):\n g[i+R].append((t, j))\n for i in range(n):\n g[st[i]].append((dr[i]+R, 0))\n ans = 0\n for i in range(k):\n ans += bellman(t)\n sys.stdout.write(str(ans) + '\\n')", "import sys\nfrom collections import deque\n\nkMaxN = 5005\nkInf = int(1e9)\n\nDist = [0] * kMaxN\nParent = [-1] * kMaxN\nInQ = [False] * kMaxN\nF = [[0]*kMaxN for _ in range(kMaxN)]\nC = [[0]*kMaxN for _ in range(kMaxN)]\nK = [[0]*kMaxN for _ in range(kMaxN)]\nG = [[] for _ in range(kMaxN)]\n\ndef AddEdge(a, b, c, k):\n G[a].append(b)\n G[b].append(a)\n C[a][b] = c\n K[a][b] = k\n K[b][a] = -k\n \ndef Bellman(src, dst):\n global Dist, Parent, InQ\n \n Q = deque()\n Dist = [-1] * kMaxN\n Parent = [-1] * kMaxN\n Dist[src] = 0\n Q.append(src)\n \n while Q:\n node = Q.popleft()\n InQ[node] = False\n for vec in G[node]:\n if F[node][vec] < C[node][vec] and (Dist[vec] == -1 or Dist[vec] > Dist[node] + K[node][vec]):\n Dist[vec] = Dist[node] + K[node][vec]\n Parent[vec] = node\n if not InQ[vec]:\n Q.append(vec)\n InQ[vec] = True\n return Parent[dst] != -1\n\ndef MaxFlowIter(s, d):\n assert Bellman(s, d)\n cost = 0\n node = d\n \n while node != s:\n par = Parent[node]\n cost += K[par][node]\n if par == s or node == d:\n K[par][node] += 1\n K[node][par] -= 1\n F[par][node] += 1\n F[node][par] -= 1\n node = Parent[node]\n return cost\n\ndef Alloc():\n global nodes\n \n nodes = 0\n nodes += 1\n return nodes\n\ndef Normalize(str):\n global vals\n \n vals = 0\n Map = {}\n if str in Map:\n ret = Map[str]\n else:\n ret = vals + 1\n vals += 1\n Map[str] = ret\n return ret - 1\n\ndef main():\n global s, d\n \n n, k = map(int, input().split())\n s, d = 2*n, 2*n+1\n for i in range(n):\n AddEdge(s, i, kInf, 0)\n AddEdge(i+n, d, kInf, 0)\n K[i][s] += 1\n K[d][i+n] += 1\n \n for i in range(n):\n sock = input().split()\n x = Normalize(sock[0])\n y = Normalize(sock[1])\n AddEdge(x, y+n, 1, 0)\n\n ans = 0\n for i in range(k):\n ans += MaxFlowIter(s, d)\n print(ans)\n \nif __name__ == \"__main__\":\n main()" ]
[ { "input": "183 183\nLightGreen 324\nLightBlue 5968\nGray 4481\nOldLace 2097\nBeige 4068\nDarkSlateBlue 8817\nPaleGreen 8955\nPaleGreen 8154\nLavender 3024\nGold 4384\nLightBlue 1517\nOldLace 1816\nWebGray 4886\nDarkSalmon 521\nWebGreen 5382\nMediumSeaGreen 3344\nChartreuse 3344\nPaleTurquoise 3344\nSpringGreen 1867\nMediumOrchid 1269\nSnow 2182\nFloralWhite 3344\nRoyalBlue 527\nGray 7942\nOldLace 398\nPaleGoldenrod 1867\nLightSlateGray 7778\nWebPurple 3344\nLightYellow 112\nGray 9589\nPlum 57\nMediumOrchid 1261\nLightBlue 8721\nBlueViolet 3344\nMediumOrchid 7650\nSteelBlue 7513\nOldLace 4690\nPeru 4535\nLightGray 4920\nSandyBrown 7778\nAzure 3344\nPaleGreen 2357\nPaleGreen 820\nSlateGray 2758\nLightSkyBlue 6751\nGray 7650\nOrchid 6732\nWheat 4502\nSaddleBrown 4920\nGray 6650\nWebMaroon 9350\nLightBlue 8911\nOldLace 6490\nDarkGoldenrod 8877\nMediumOrchid 5628\nCoral 4466\nLightGoldenrod 8817\nDarkRed 2483\nPaleGreen 6183\nPaleGreen 8826\nAliceBlue 1143\nGainsboro 4466\nDarkGreen 324\nOldLace 8743\nPaleGreen 4708\nLightBlue 2075\nDarkCyan 4920\nLime 4920\nTomato 3024\nThistle 4466\nLightBlue 2586\nLightBlue 8362\nLightBlue 5405\nPapayaWhip 1143\nNavajoWhite 1549\nGray 402\nPaleGreen 8845\nPowderBlue 9350\nAquamarine 2563\nPeachPuff 7513\nLightBlue 7814\nOldLace 9455\nBeige 5286\nLimeGreen 3344\nLemonChiffon 2599\nLightBlue 1657\nWhite 527\nSlateGray 1275\nHotPink 1143\nLightBlue 8084\nChocolate 7778\nLightBlue 6706\nMediumAquamarine 7854\nForestGreen 112\nAntiqueWhite 7828\nTeal 4345\nBrown 4920\nLightSteelBlue 3344\nSalmon 1323\nSlateBlue 599\nGreen 4864\nIvory 7463\nCrimson 3344\nHoneydew 5382\nRosyBrown 3344\nSalmon 5852\nOrangeRed 6592\nLightPink 1436\nLightBlue 4041\nLightPink 345\nDarkBlue 2483\nIndianRed 4127\nDarkOliveGreen 3260\nPaleGreen 9346\nOrangeRed 521\nIndigo 345\nGray 271\nIvory 2686\nOldLace 4925\nRed 7824\nMediumOrchid 315\nGray 9570\nOrangeRed 4384\nGray 1483\nMediumOrchid 9154\nDarkKhaki 7778\nDarkSalmon 1355\nFirebrick 1867\nDarkSlateGray 6732\nNavyBlue 9955\nOliveDrab 3344\nSeaGreen 4864\nAntiqueWhite 7824\nMediumOrchid 9570\nWhiteSmoke 3344\nOldLace 4224\nLightSkyBlue 8442\nMediumSpringGreen 3344\nDarkSalmon 6592\nSilver 7778\nIndianRed 762\nOldLace 6042\nGreenYellow 4466\nPink 1143\nLawnGreen 4886\nLightBlue 7932\nWhite 5204\nBurlywood 7513\nLightBlue 6186\nBlanchedAlmond 7778\nIvory 4535\nDarkTurquoise 2270\nOldLace 7848\nLinen 9350\nLightBlue 7750\nPaleGreen 3033\nOldLace 7709\nLightBlue 3244\nPaleGreen 245\nCornflower 9350\nWhite 375\nPaleGreen 7411\nGray 5960\nSalmon 762\nOlive 3344\nSnow 8817\nPaleGreen 3350\nLavenderBlush 8817\nIndianRed 889\nDarkViolet 7778\nGray 5823\nOrangeRed 6073\nDodgerBlue 3260\nDarkRed 9814\nOldLace 3962\nDarkGreen 345\nMediumSlateBlue 1867\nOldLace 3614\nMistyRose 1867\nBisque 6732\nMediumOrchid 9429\nKhaki 7824\nMoccasin 5382\n", "output": "183 183\nLightGreen 324\nLightBlue 5968\nGray 4481\nOldLace 2097\nBeige 4068\nDarkSlateBlue 8817\nPaleGreen 8955\nPaleGreen 8154\nLavender 3024\nGold 4384\nLightBlue 1517\nOldLace 1816\nWebGray 4886\nDarkSalmon 521\nWebGreen 5382\nMediumSeaGreen 3344\nChartreuse 3344\nPaleTurquoise 3344\nSpringGreen 1867\nMediumOrchid 1269\nSnow 2182\nFloralWhite 3344\nRoyalBlue 527\nGray 7942\nOldLace 398\nPaleGoldenrod 1867\nLightSlateGray 7778\nWebPurple 3344\nLightYellow 112\nGray 9589\nPlum 57\nMediumOrchid 1261\nLightBlue 8721\nBlueViolet 3344\nMediumOrchid 7650\nSteelBlue 7513\nOldLace 4690\nPeru 4535\nLightGray 4920\nSandyBrown 7778\nAzure 3344\nPaleGreen 2357\nPaleGreen 820\nSlateGray 2758\nLightSkyBlue 6751\nGray 7650\nOrchid 6732\nWheat 4502\nSaddleBrown 4920\nGray 6650\nWebMaroon 9350\nLightBlue 8911\nOldLace 6490\nDarkGoldenrod 8877\nMediumOrchid 5628\nCoral 4466\nLightGoldenrod 8817\nDarkRed 2483\nPaleGreen 6183\nPaleGreen 8826\nAliceBlue 1143\nGainsboro 4466\nDarkGreen 324\nOldLace 8743\nPaleGreen 4708\nLightBlue 2075\nDarkCyan 4920\nLime 4920\nTomato 3024\nThistle 4466\nLightBlue 2586\nLightBlue 8362\nLightBlue 5405\nPapayaWhip 1143\nNavajoWhite 1549\nGray 402\nPaleGreen 8845\nPowderBlue 9350\nAquamarine 2563\nPeachPuff 7513\nLightBlue 7814\nOldLace 9455\nBeige 5286\nLimeGreen 3344\nLemonChiffon 2599\nLightBlue 1657\nWhite 527\nSlateGray 1275\nHotPink 1143\nLightBlue 8084\nChocolate 7778\nLightBlue 6706\nMediumAquamarine 7854\nForestGreen 112\nAntiqueWhite 7828\nTeal 4345\nBrown 4920\nLightSteelBlue 3344\nSalmon 1323\nSlateBlue 599\nGreen 4864\nIvory 7463\nCrimson 3344\nHoneydew 5382\nRosyBrown 3344\nSalmon 5852\nOrangeRed 6592\nLightPink 1436\nLightBlue 4041\nLightPink 345\nDarkBlue 2483\nIndianRed 4127\nDarkOliveGreen 3260\nPaleGreen 9346\nOrangeRed 521\nIndigo 345\nGray 271\nIvory 2686\nOldLace 4925\nRed 7824\nMediumOrchid 315\nGray 9570\nOrangeRed 4384\nGray 1483\nMediumOrchid 9154\nDarkKhaki 7778\nDarkSalmon 1355\nFirebrick 1867\nDarkSlateGray 6732\nNavyBlue 9955\nOliveDrab 3344\nSeaGreen 4864\nAntiqueWhite 7824\nMediumOrchid 9570\nWhiteSmoke 3344\nOldLace 4224\nLightSkyBlue 8442\nMediumSpringGreen 3344\nDarkSalmon 6592\nSilver 7778\nIndianRed 762\nOldLace 6042\nGreenYellow 4466\nPink 1143\nLawnGreen 4886\nLightBlue 7932\nWhite 5204\nBurlywood 7513\nLightBlue 6186\nBlanchedAlmond 7778\nIvory 4535\nDarkTurquoise 2270\nOldLace 7848\nLinen 9350\nLightBlue 7750\nPaleGreen 3033\nOldLace 7709\nLightBlue 3244\nPaleGreen 245\nCornflower 9350\nWhite 375\nPaleGreen 7411\nGray 5960\nSalmon 762\nOlive 3344\nSnow 8817\nPaleGreen 3350\nLavenderBlush 8817\nIndianRed 889\nDarkViolet 7778\nGray 5823\nOrangeRed 6073\nDodgerBlue 3260\nDarkRed 9814\nOldLace 3962\nDarkGreen 345\nMediumSlateBlue 1867\nOldLace 3614\nMistyRose 1867\nBisque 6732\nMediumOrchid 9429\nKhaki 7824\nMoccasin 5382\n" }, { "input": "263 263\nLightCoral 628024676\nLime 152246000\nBeige 136897302\nMediumSeaGreen 439175139\nYellowGreen 538396942\nDarkMagenta 525838044\nLightSlateGray 514983596\nDodgerBlue 910785506\nBlanchedAlmond 456294113\nFloralWhite 541865172\nLightCoral 16522407\nMagenta 813655996\nPeru 160892760\nSeashell 744864962\nLavenderBlush 690839540\nSlateBlue 538396942\nWhiteSmoke 472739214\nPurple 643528890\nDarkTurquoise 705375809\nPowderBlue 393143347\nPaleGoldenrod 736050825\nDarkMagenta 354131328\nCrimson 455986470\nGreenYellow 135471685\nMintCream 286512929\nNavajoWhite 837260425\nLightSlateGray 709912493\nLightCyan 139779132\nMistyRose 310694625\nTan 341081552\nLavenderBlush 280593858\nGreenYellow 314029100\nLightGreen 329961936\nSteelBlue 735272258\nSeashell 482014065\nRebeccaPurple 735272258\nLightSlateGray 939915235\nGold 574165671\nGreenYellow 415959304\nAquamarine 575434960\nNavajoWhite 139779132\nLightSlateGray 310694625\nGhostWhite 709912493\nForestGreen 514983596\nTan 278925755\nRebeccaPurple 943640685\nPurple 860391325\nPaleGoldenrod 813655996\nPink 986954185\nRebeccaPurple 740218439\nLavender 983758390\nGoldenrod 781934899\nPaleGoldenrod 973256163\nPeachPuff 43401773\nMagenta 558154772\nPaleGreen 472739214\nLightYellow 139779132\nLightGreen 261630072\nYellowGreen 318558193\nPaleGoldenrod 246403926\nPurple 456294113\nPurple 465355918\nAntiqueWhite 81470982\nBlanchedAlmond 750120985\nDeepPink 646534607\nMagenta 916326728\nLightGreen 916326728\nMistyRose 690839540\nForestGreen 744864962\nSeashell 514983596\nSteelBlue 462414291\nBlanchedAlmond 9641161\nSandyBrown 744864962\nFloralWhite 314029100\nFloralWhite 146180701\nSteelBlue 280593858\nSeashell 455986470\nPeru 251679617\nNavyBlue 332084104\nLightGoldenrod 27922328\nTan 244165096\nPurple 432124512\nPeachPuff 943640685\nCyan 152246000\nDarkMagenta 465355918\nPink 887320232\nPink 197737909\nChocolate 842150679\nFloralWhite 993954938\nLightBlue 574165671\nDodgerBlue 278925755\nLavender 775500174\nLightGreen 917255931\nRebeccaPurple 27922328\nMagenta 973256163\nCrimson 890510501\nDarkOliveGreen 781934899\nWheat 286512929\nGreenYellow 268800424\nPaleGoldenrod 652454510\nLavender 286371395\nSkyBlue 251679617\nOrangeRed 538396942\nDarkSeaGreen 462414291\nDarkSeaGreen 43401773\nRebeccaPurple 198284667\nFloralWhite 444752750\nMistyRose 198284667\nWebGreen 166911641\nWebPurple 139779132\nGhostWhite 939915235\nMediumSpringGreen 439175139\nMediumVioletRed 653829288\nMediumAquamarine 770298816\nPaleGoldenrod 329961936\nSteelBlue 198284667\nGreenYellow 456294113\nPurple 461353480\nGoldenrod 149183221\nKhaki 992889098\nBurlywood 251679617\nSaddleBrown 393143347\nDarkGreen 258901518\nSeaGreen 8059912\nLavender 800194609\nGreen 472739214\nRebeccaPurple 798951667\nMediumSlateBlue 842150679\nMediumPurple 258901518\nAntiqueWhite 314029100\nPaleVioletRed 152246000\nGreenYellow 197737909\nPink 628024676\nPink 852684872\nLimeGreen 439175139\nWheat 149183221\nGreenYellow 32290629\nWebPurple 837260425\nDarkBlue 781934899\nLightGreen 270912270\nLightGreen 246403926\nDeepPink 393143347\nRebeccaPurple 310694625\nLavender 456294113\nLavenderBlush 740218439\nDeepPink 992889098\nOrange 781934899\nSeaGreen 750120985\nMagenta 652454510\nSeashell 280593858\nDarkSeaGreen 514983596\nDarkOliveGreen 705375809\nPurple 274926417\nLavender 9641161\nAqua 787776851\nLightSeaGreen 139779132\nBlue 472739214\nChocolate 258901518\nLemonChiffon 251679617\nMistyRose 735272258\nDodgerBlue 444752750\nPeachPuff 198284667\nTan 744709205\nForestGreen 280593858\nLavenderBlush 939915235\nDarkMagenta 274926417\nDarkViolet 280593858\nDeepSkyBlue 923372066\nMintCream 258901518\nSteelBlue 514983596\nCornflower 332084104\nSalmon 85687250\nAquamarine 218559582\nDarkGoldenrod 842150679\nGray 574165671\nMidnightBlue 538396942\nOliveDrab 439175139\nMagenta 270912270\nLightSeaGreen 837260425\nLightCoral 643528890\nAquamarine 939915235\nRebeccaPurple 744864962\nDarkSalmon 923372066\nPaleGreen 781934899\nSaddleBrown 770298816\nPaleTurquoise 574165671\nTan 986954185\nRebeccaPurple 280593858\nFuchsia 837260425\nAzure 139779132\nSandyBrown 709912493\nLavenderBlush 218559582\nOrchid 439175139\nDarkCyan 781934899\nPeachPuff 482014065\nBisque 646534607\nRebeccaPurple 482014065\nDarkSeaGreen 482014065\nSeashell 890510501\nKhaki 770298816\nLightBlue 923372066\nMediumBlue 653829288\nRebeccaPurple 462414291\nLightPink 258901518\nLightGreen 558154772\nDarkSlateBlue 770298816\nAntiqueWhite 993954938\nMistyRose 218559582\nLightCoral 268800424\nCrimson 43401773\nPlum 149183221\nPaleGoldenrod 261630072\nPaleGoldenrod 558154772\nTeal 258901518\nGainsboro 560273693\nMediumVioletRed 574165671\nAquamarine 482014065\nLightYellow 837260425\nDarkCyan 393143347\nMagenta 246403926\nForestGreen 27922328\nLightGreen 813655996\nFuchsia 139779132\nPeachPuff 462414291\nDarkMagenta 9641161\nFloralWhite 744709205\nOliveDrab 992889098\nForestGreen 939915235\nSpringGreen 781934899\nDarkCyan 705375809\nBisque 992889098\nDarkSeaGreen 280593858\nSeashell 198284667\nPapayaWhip 393143347\nRebeccaPurple 890510501\nMagenta 329961936\nLinen 770298816\nPaleTurquoise 332084104\nPink 750120985\nIndigo 439175139\nLightGreen 652454510\nBisque 393143347\nLightBlue 286512929\nBrown 332084104\nGhostWhite 455986470\nAqua 160892760\nSteelBlue 744864962\nRebeccaPurple 575434960\nIndianRed 653829288\nDarkMagenta 229754226\nSandyBrown 890510501\nMagenta 736050825\nDarkGray 85687250\nAliceBlue 85687250\nDarkSeaGreen 709912493\nPaleGoldenrod 270912270\nAzure 837260425\nDarkViolet 798951667\nAntiqueWhite 983758390\nLightSlateGray 735272258\nForestGreen 890510501\nTan 465355918\nDarkGreen 286512929\n", "output": "263 263\nLightCoral 628024676\nLime 152246000\nBeige 136897302\nMediumSeaGreen 439175139\nYellowGreen 538396942\nDarkMagenta 525838044\nLightSlateGray 514983596\nDodgerBlue 910785506\nBlanchedAlmond 456294113\nFloralWhite 541865172\nLightCoral 16522407\nMagenta 813655996\nPeru 160892760\nSeashell 744864962\nLavenderBlush 690839540\nSlateBlue 538396942\nWhiteSmoke 472739214\nPurple 643528890\nDarkTurquoise 705375809\nPowderBlue 393143347\nPaleGoldenrod 736050825\nDarkMagenta 354131328\nCrimson 455986470\nGreenYellow 135471685\nMintCream 286512929\nNavajoWhite 837260425\nLightSlateGray 709912493\nLightCyan 139779132\nMistyRose 310694625\nTan 341081552\nLavenderBlush 280593858\nGreenYellow 314029100\nLightGreen 329961936\nSteelBlue 735272258\nSeashell 482014065\nRebeccaPurple 735272258\nLightSlateGray 939915235\nGold 574165671\nGreenYellow 415959304\nAquamarine 575434960\nNavajoWhite 139779132\nLightSlateGray 310694625\nGhostWhite 709912493\nForestGreen 514983596\nTan 278925755\nRebeccaPurple 943640685\nPurple 860391325\nPaleGoldenrod 813655996\nPink 986954185\nRebeccaPurple 740218439\nLavender 983758390\nGoldenrod 781934899\nPaleGoldenrod 973256163\nPeachPuff 43401773\nMagenta 558154772\nPaleGreen 472739214\nLightYellow 139779132\nLightGreen 261630072\nYellowGreen 318558193\nPaleGoldenrod 246403926\nPurple 456294113\nPurple 465355918\nAntiqueWhite 81470982\nBlanchedAlmond 750120985\nDeepPink 646534607\nMagenta 916326728\nLightGreen 916326728\nMistyRose 690839540\nForestGreen 744864962\nSeashell 514983596\nSteelBlue 462414291\nBlanchedAlmond 9641161\nSandyBrown 744864962\nFloralWhite 314029100\nFloralWhite 146180701\nSteelBlue 280593858\nSeashell 455986470\nPeru 251679617\nNavyBlue 332084104\nLightGoldenrod 27922328\nTan 244165096\nPurple 432124512\nPeachPuff 943640685\nCyan 152246000\nDarkMagenta 465355918\nPink 887320232\nPink 197737909\nChocolate 842150679\nFloralWhite 993954938\nLightBlue 574165671\nDodgerBlue 278925755\nLavender 775500174\nLightGreen 917255931\nRebeccaPurple 27922328\nMagenta 973256163\nCrimson 890510501\nDarkOliveGreen 781934899\nWheat 286512929\nGreenYellow 268800424\nPaleGoldenrod 652454510\nLavender 286371395\nSkyBlue 251679617\nOrangeRed 538396942\nDarkSeaGreen 462414291\nDarkSeaGreen 43401773\nRebeccaPurple 198284667\nFloralWhite 444752750\nMistyRose 198284667\nWebGreen 166911641\nWebPurple 139779132\nGhostWhite 939915235\nMediumSpringGreen 439175139\nMediumVioletRed 653829288\nMediumAquamarine 770298816\nPaleGoldenrod 329961936\nSteelBlue 198284667\nGreenYellow 456294113\nPurple 461353480\nGoldenrod 149183221\nKhaki 992889098\nBurlywood 251679617\nSaddleBrown 393143347\nDarkGreen 258901518\nSeaGreen 8059912\nLavender 800194609\nGreen 472739214\nRebeccaPurple 798951667\nMediumSlateBlue 842150679\nMediumPurple 258901518\nAntiqueWhite 314029100\nPaleVioletRed 152246000\nGreenYellow 197737909\nPink 628024676\nPink 852684872\nLimeGreen 439175139\nWheat 149183221\nGreenYellow 32290629\nWebPurple 837260425\nDarkBlue 781934899\nLightGreen 270912270\nLightGreen 246403926\nDeepPink 393143347\nRebeccaPurple 310694625\nLavender 456294113\nLavenderBlush 740218439\nDeepPink 992889098\nOrange 781934899\nSeaGreen 750120985\nMagenta 652454510\nSeashell 280593858\nDarkSeaGreen 514983596\nDarkOliveGreen 705375809\nPurple 274926417\nLavender 9641161\nAqua 787776851\nLightSeaGreen 139779132\nBlue 472739214\nChocolate 258901518\nLemonChiffon 251679617\nMistyRose 735272258\nDodgerBlue 444752750\nPeachPuff 198284667\nTan 744709205\nForestGreen 280593858\nLavenderBlush 939915235\nDarkMagenta 274926417\nDarkViolet 280593858\nDeepSkyBlue 923372066\nMintCream 258901518\nSteelBlue 514983596\nCornflower 332084104\nSalmon 85687250\nAquamarine 218559582\nDarkGoldenrod 842150679\nGray 574165671\nMidnightBlue 538396942\nOliveDrab 439175139\nMagenta 270912270\nLightSeaGreen 837260425\nLightCoral 643528890\nAquamarine 939915235\nRebeccaPurple 744864962\nDarkSalmon 923372066\nPaleGreen 781934899\nSaddleBrown 770298816\nPaleTurquoise 574165671\nTan 986954185\nRebeccaPurple 280593858\nFuchsia 837260425\nAzure 139779132\nSandyBrown 709912493\nLavenderBlush 218559582\nOrchid 439175139\nDarkCyan 781934899\nPeachPuff 482014065\nBisque 646534607\nRebeccaPurple 482014065\nDarkSeaGreen 482014065\nSeashell 890510501\nKhaki 770298816\nLightBlue 923372066\nMediumBlue 653829288\nRebeccaPurple 462414291\nLightPink 258901518\nLightGreen 558154772\nDarkSlateBlue 770298816\nAntiqueWhite 993954938\nMistyRose 218559582\nLightCoral 268800424\nCrimson 43401773\nPlum 149183221\nPaleGoldenrod 261630072\nPaleGoldenrod 558154772\nTeal 258901518\nGainsboro 560273693\nMediumVioletRed 574165671\nAquamarine 482014065\nLightYellow 837260425\nDarkCyan 393143347\nMagenta 246403926\nForestGreen 27922328\nLightGreen 813655996\nFuchsia 139779132\nPeachPuff 462414291\nDarkMagenta 9641161\nFloralWhite 744709205\nOliveDrab 992889098\nForestGreen 939915235\nSpringGreen 781934899\nDarkCyan 705375809\nBisque 992889098\nDarkSeaGreen 280593858\nSeashell 198284667\nPapayaWhip 393143347\nRebeccaPurple 890510501\nMagenta 329961936\nLinen 770298816\nPaleTurquoise 332084104\nPink 750120985\nIndigo 439175139\nLightGreen 652454510\nBisque 393143347\nLightBlue 286512929\nBrown 332084104\nGhostWhite 455986470\nAqua 160892760\nSteelBlue 744864962\nRebeccaPurple 575434960\nIndianRed 653829288\nDarkMagenta 229754226\nSandyBrown 890510501\nMagenta 736050825\nDarkGray 85687250\nAliceBlue 85687250\nDarkSeaGreen 709912493\nPaleGoldenrod 270912270\nAzure 837260425\nDarkViolet 798951667\nAntiqueWhite 983758390\nLightSlateGray 735272258\nForestGreen 890510501\nTan 465355918\nDarkGreen 286512929\n" }, { "input": "317 317\ntkiZ 279975537\nMediumBlue 976142579\nDimGray 375146913\nLightSteelBlue 437158711\ntkiZ 459618234\nMediumVioletRed 36394188\nvaGiRaCYfDjDuIWKcAh 324086586\nBlack 570071824\nPapayaWhip 244447210\nIndianRed 260708027\nPowderBlue 58963960\navDqsMbdrrMdB 681173106\nLightSeaGreen 554461707\nPaleVioletRed 244769197\nE 497826250\noGJTdJuAjHsHZjTJ 224641640\nPeru 69715905\nE 987264181\nMediumBlue 879632947\nMediumPurple 589671577\nLightCoral 231272816\nvdOpPxJRvBw 101412749\nTeal 69715905\nLightCoral 395426020\nBrown 40448305\nLightSkyBlue 497115363\nJBrXOSk 56938451\nBisque 244769197\nLavenderBlush 82860539\nDeepPink 869723340\nAzure 244769197\nDarkTurquoise 40448305\nPeachPuff 204203016\nSlateBlue 204203016\nAqua 672512256\nNavyBlue 376836886\noGJTdJuAjHsHZjTJ 743284363\nGhostWhite 467633897\nMediumTurquoise 204203016\nGold 653010205\noGJTdJuAjHsHZjTJ 439223645\nMintCream 239305841\nBlack 990352755\nHoneydew 108736839\nSpringGreen 446878131\noGJTdJuAjHsHZjTJ 451182028\nSilver 445422678\nNavajoWhite 244769197\nDarkSlateBlue 958154775\nSteelBlue 244769197\nPaleGoldenrod 968763288\nTomato 281640481\nWhite 106030671\nLightSalmon 681173106\nGhostWhite 946032045\nViolet 62714604\nSHxSwRMcDGYpgSxJ 73324286\nPowderBlue 911562910\noGJTdJuAjHsHZjTJ 518359606\nDarkSeaGreen 852927637\nDarkMagenta 40448305\nDarkViolet 652213961\nIndianRed 611404120\nFirebrick 670829236\nGhostWhite 47749192\nDarkGray 968763288\nXpL 529848795\nSaddleBrown 236542846\nSPfhygOebkJUYBCeW 244769197\nForestGreen 244769197\nLawnGreen 592005589\nJBrXOSk 582012912\nMidnightBlue 990352755\nDarkCyan 681173106\nRed 407567604\nvdOpPxJRvBw 883734228\nDarkOrchid 620042052\nGold 772488200\nAbqynSBsA 798302294\nAbqynSBsA 57503829\nWheat 69715905\nSienna 828702982\nCoral 633341182\nBurlywood 549498547\nGray 244769197\nLightCoral 83266000\nJBrXOSk 997288286\nHeZUjUEdOesICk 81215461\nHGzJkQb 239305841\nLightGoldenrod 459618234\nXBUjgaHnHl 641653245\nLightCoral 269460358\nBlueViolet 437158711\nAliceBlue 236542846\nvdOpPxJRvBw 69507137\nDarkGreen 330752060\nMediumSlateBlue 633341182\nDarkSlateBlue 960039044\nWebPurple 416400083\nPaleGreen 823316722\nLightGreen 570071824\nDarkSalmon 244769197\nWebGreen 459618234\nPaleTurquoise 324086586\nTurquoise 324086586\nBeige 482783660\nZmydkOXyS 706193535\nYellow 570071824\nLightGray 824932499\nSaddleBrown 281640481\nouYeq 445422678\nLightGoldenrod 279975537\nmr 188733590\nDarkBlue 244769197\nCyan 466903471\nYellowGreen 244769197\nBrown 279975537\nLightCyan 554461707\nOlive 874416618\nAqoyOkcQtpkMTggCa 244447210\nDarkSlateBlue 407567604\nLightPink 570071824\nWhiteSmoke 206428877\nZmydkOXyS 334246746\nBurlywood 57503829\nLavenderBlush 256567426\nSeaGreen 990352755\nAqua 736191680\nLawnGreen 661671815\nLightYellow 641438779\nmr 467633897\nXBUjgaHnHl 167708005\nLightGray 909690991\nDarkOliveGreen 968763288\nLightCoral 586592527\nCadetBlue 633341182\nWebGray 188704348\noGJTdJuAjHsHZjTJ 839788456\ntWrrdNetBoITHbwi 823316722\nSeashell 236542846\nCornsilk 239305841\nMistyRose 236542846\nHeZUjUEdOesICk 890027564\nqEtn 416400083\nPowderBlue 41588637\nGoldenrod 244769197\nSkyBlue 670829236\nsUpTzPwVVR 864820219\nLightBlue 108736839\npHmssffPYEM 324086586\nGxrVykKd 376836886\nGreenYellow 244769197\nRed 454966310\nDarkSlateBlue 897703454\nDarkGray 874416618\nOrange 386031550\nPowderBlue 136632278\nXBUjgaHnHl 200378827\nSandyBrown 330752060\nDarkOrange 445422678\nySuPermDOSjhciAbB 554461707\nChocolate 281640481\nPowderBlue 939147779\nOldLace 633341182\nGainsboro 437158711\noGJTdJuAjHsHZjTJ 588121897\nOrangeRed 281640481\nPowderBlue 687191522\nZmydkOXyS 903215364\nIndigo 279975537\nFuchsia 239305841\nDarkOrchid 618740805\nKhaki 39446326\nCoral 570071824\nDarkRed 324086586\nOrange 286779482\nLightGray 429128180\nSnow 244769197\nDeepPink 657010442\nIiwcMBxUxFzNz 497115363\nDarkRed 330752060\nE 386031550\nvdOpPxJRvBw 952046995\nWebGray 190548125\nTMNCWwxDoHmBObP 38381826\nGuGdo 554461707\nSalmon 61119683\nLime 244769197\nHvKF 239305841\nLightSalmon 236542846\ndQ 244769197\nGreen 227710914\nBurlywood 629499284\nFirebrick 47749192\nXBUjgaHnHl 417617285\nvdOpPxJRvBw 231884330\nDarkGoldenrod 633341182\nPurple 176054643\nIndianRed 811450225\nXBUjgaHnHl 641210530\nSeashell 681173106\nslCPBrH 204203016\nYltDWqHObIVmLZMyEG 633341182\nLavenderBlush 863887993\nZmydkOXyS 987264181\nMistyRose 681173106\nWebMaroon 281640481\nOrange 48228450\nBeige 138156001\nOrchid 968763288\nOrange 54157706\nGold 120670651\nLightCoral 123988318\nIIYopjzyaImnjrL 459618234\nLightGoldenrod 40448305\nGreen 911858211\nmr 47749192\nLightSlateGray 445422678\nPowderBlue 624243150\nMediumSeaGreen 330752060\nBlue 497115363\nHotPink 376836886\nMoccasin 69715905\nMaroon 206428877\nCrimson 874416618\noGJTdJuAjHsHZjTJ 203801784\nFloralWhite 459618234\nDarkKhaki 497115363\nFirebrick 946032045\nLightCoral 260708027\nChartreuse 281640481\nMediumBlue 822290690\nBeige 48228450\nmr 670829236\nSlateGray 554461707\nGhostWhite 62714604\nThistle 204203016\nQmXqxgNjknNzSOCf 570071824\nE 334246746\nFUHgZK 974211987\nViolet 670829236\nLightCoral 68029954\nJBrXOSk 50496581\nXBUjgaHnHl 143433251\nCyan 629740148\nMagenta 244769197\nPurple 690458542\nIndianRed 432284124\nBlanchedAlmond 244769197\nMediumTurquoise 526989053\navDqsMbdrrMdB 236542846\nvaGiRaCYfDjDuIWKcAh 330752060\nSpringGreen 427772478\nspd 281640481\nCornflower 445422678\nDeepSkyBlue 192863168\nLightCoral 369255904\nPurple 311395860\nTan 874416618\nCornsilk 416400083\nPowderBlue 311036663\nDiTxsJPtpsrnoez 968763288\nLemonChiffon 244769197\nIndianRed 757457672\nSeaGreen 570071824\nGold 657010442\nLightCoral 635323\nMediumOrchid 864820219\nqEtn 239305841\nPowderBlue 150974283\nRoyalBlue 416400083\neDZDqJvmxudQAhyumZSD 445422678\nLimeGreen 138156001\nvdOpPxJRvBw 882695435\nvdOpPxJRvBw 541302528\nSkyBlue 47749192\niN 244769197\npHmssffPYEM 330752060\nHGzJkQb 416400083\nWebPurple 239305841\nLightYellow 16267859\nNavyBlue 279975537\nSandyBrown 324086586\nXBUjgaHnHl 262824872\nPlum 239305841\nFirebrick 467633897\nLinen 244769197\nGold 869723340\nLightYellow 418394964\nChocolate 69715905\nPink 244769197\nWhite 720065988\nLightGray 483383493\nCyan 373214997\nFUHgZK 521048590\nRosyBrown 61119683\nLavender 633341182\nXpL 643017161\nAntiqueWhite 301751037\nDarkViolet 56938451\nDarkViolet 155247462\nMediumSeaGreen 324086586\noGJTdJuAjHsHZjTJ 458029295\nMediumSpringGreen 244769197\nOliveDrab 244769197\ntsauKzDei 244769197\nFUHgZK 742696252\nGold 945636287\nIvory 244769197\nRebeccaPurple 244769197\nMediumAquamarine 968763288\nBeige 386031550\nLightSeaGreen 497115363\nDeepPink 945636287\nDarkSlateGray 244769197\nDodgerBlue 561792408\nAquamarine 716429383\n", "output": "317 317\ntkiZ 279975537\nMediumBlue 976142579\nDimGray 375146913\nLightSteelBlue 437158711\ntkiZ 459618234\nMediumVioletRed 36394188\nvaGiRaCYfDjDuIWKcAh 324086586\nBlack 570071824\nPapayaWhip 244447210\nIndianRed 260708027\nPowderBlue 58963960\navDqsMbdrrMdB 681173106\nLightSeaGreen 554461707\nPaleVioletRed 244769197\nE 497826250\noGJTdJuAjHsHZjTJ 224641640\nPeru 69715905\nE 987264181\nMediumBlue 879632947\nMediumPurple 589671577\nLightCoral 231272816\nvdOpPxJRvBw 101412749\nTeal 69715905\nLightCoral 395426020\nBrown 40448305\nLightSkyBlue 497115363\nJBrXOSk 56938451\nBisque 244769197\nLavenderBlush 82860539\nDeepPink 869723340\nAzure 244769197\nDarkTurquoise 40448305\nPeachPuff 204203016\nSlateBlue 204203016\nAqua 672512256\nNavyBlue 376836886\noGJTdJuAjHsHZjTJ 743284363\nGhostWhite 467633897\nMediumTurquoise 204203016\nGold 653010205\noGJTdJuAjHsHZjTJ 439223645\nMintCream 239305841\nBlack 990352755\nHoneydew 108736839\nSpringGreen 446878131\noGJTdJuAjHsHZjTJ 451182028\nSilver 445422678\nNavajoWhite 244769197\nDarkSlateBlue 958154775\nSteelBlue 244769197\nPaleGoldenrod 968763288\nTomato 281640481\nWhite 106030671\nLightSalmon 681173106\nGhostWhite 946032045\nViolet 62714604\nSHxSwRMcDGYpgSxJ 73324286\nPowderBlue 911562910\noGJTdJuAjHsHZjTJ 518359606\nDarkSeaGreen 852927637\nDarkMagenta 40448305\nDarkViolet 652213961\nIndianRed 611404120\nFirebrick 670829236\nGhostWhite 47749192\nDarkGray 968763288\nXpL 529848795\nSaddleBrown 236542846\nSPfhygOebkJUYBCeW 244769197\nForestGreen 244769197\nLawnGreen 592005589\nJBrXOSk 582012912\nMidnightBlue 990352755\nDarkCyan 681173106\nRed 407567604\nvdOpPxJRvBw 883734228\nDarkOrchid 620042052\nGold 772488200\nAbqynSBsA 798302294\nAbqynSBsA 57503829\nWheat 69715905\nSienna 828702982\nCoral 633341182\nBurlywood 549498547\nGray 244769197\nLightCoral 83266000\nJBrXOSk 997288286\nHeZUjUEdOesICk 81215461\nHGzJkQb 239305841\nLightGoldenrod 459618234\nXBUjgaHnHl 641653245\nLightCoral 269460358\nBlueViolet 437158711\nAliceBlue 236542846\nvdOpPxJRvBw 69507137\nDarkGreen 330752060\nMediumSlateBlue 633341182\nDarkSlateBlue 960039044\nWebPurple 416400083\nPaleGreen 823316722\nLightGreen 570071824\nDarkSalmon 244769197\nWebGreen 459618234\nPaleTurquoise 324086586\nTurquoise 324086586\nBeige 482783660\nZmydkOXyS 706193535\nYellow 570071824\nLightGray 824932499\nSaddleBrown 281640481\nouYeq 445422678\nLightGoldenrod 279975537\nmr 188733590\nDarkBlue 244769197\nCyan 466903471\nYellowGreen 244769197\nBrown 279975537\nLightCyan 554461707\nOlive 874416618\nAqoyOkcQtpkMTggCa 244447210\nDarkSlateBlue 407567604\nLightPink 570071824\nWhiteSmoke 206428877\nZmydkOXyS 334246746\nBurlywood 57503829\nLavenderBlush 256567426\nSeaGreen 990352755\nAqua 736191680\nLawnGreen 661671815\nLightYellow 641438779\nmr 467633897\nXBUjgaHnHl 167708005\nLightGray 909690991\nDarkOliveGreen 968763288\nLightCoral 586592527\nCadetBlue 633341182\nWebGray 188704348\noGJTdJuAjHsHZjTJ 839788456\ntWrrdNetBoITHbwi 823316722\nSeashell 236542846\nCornsilk 239305841\nMistyRose 236542846\nHeZUjUEdOesICk 890027564\nqEtn 416400083\nPowderBlue 41588637\nGoldenrod 244769197\nSkyBlue 670829236\nsUpTzPwVVR 864820219\nLightBlue 108736839\npHmssffPYEM 324086586\nGxrVykKd 376836886\nGreenYellow 244769197\nRed 454966310\nDarkSlateBlue 897703454\nDarkGray 874416618\nOrange 386031550\nPowderBlue 136632278\nXBUjgaHnHl 200378827\nSandyBrown 330752060\nDarkOrange 445422678\nySuPermDOSjhciAbB 554461707\nChocolate 281640481\nPowderBlue 939147779\nOldLace 633341182\nGainsboro 437158711\noGJTdJuAjHsHZjTJ 588121897\nOrangeRed 281640481\nPowderBlue 687191522\nZmydkOXyS 903215364\nIndigo 279975537\nFuchsia 239305841\nDarkOrchid 618740805\nKhaki 39446326\nCoral 570071824\nDarkRed 324086586\nOrange 286779482\nLightGray 429128180\nSnow 244769197\nDeepPink 657010442\nIiwcMBxUxFzNz 497115363\nDarkRed 330752060\nE 386031550\nvdOpPxJRvBw 952046995\nWebGray 190548125\nTMNCWwxDoHmBObP 38381826\nGuGdo 554461707\nSalmon 61119683\nLime 244769197\nHvKF 239305841\nLightSalmon 236542846\ndQ 244769197\nGreen 227710914\nBurlywood 629499284\nFirebrick 47749192\nXBUjgaHnHl 417617285\nvdOpPxJRvBw 231884330\nDarkGoldenrod 633341182\nPurple 176054643\nIndianRed 811450225\nXBUjgaHnHl 641210530\nSeashell 681173106\nslCPBrH 204203016\nYltDWqHObIVmLZMyEG 633341182\nLavenderBlush 863887993\nZmydkOXyS 987264181\nMistyRose 681173106\nWebMaroon 281640481\nOrange 48228450\nBeige 138156001\nOrchid 968763288\nOrange 54157706\nGold 120670651\nLightCoral 123988318\nIIYopjzyaImnjrL 459618234\nLightGoldenrod 40448305\nGreen 911858211\nmr 47749192\nLightSlateGray 445422678\nPowderBlue 624243150\nMediumSeaGreen 330752060\nBlue 497115363\nHotPink 376836886\nMoccasin 69715905\nMaroon 206428877\nCrimson 874416618\noGJTdJuAjHsHZjTJ 203801784\nFloralWhite 459618234\nDarkKhaki 497115363\nFirebrick 946032045\nLightCoral 260708027\nChartreuse 281640481\nMediumBlue 822290690\nBeige 48228450\nmr 670829236\nSlateGray 554461707\nGhostWhite 62714604\nThistle 204203016\nQmXqxgNjknNzSOCf 570071824\nE 334246746\nFUHgZK 974211987\nViolet 670829236\nLightCoral 68029954\nJBrXOSk 50496581\nXBUjgaHnHl 143433251\nCyan 629740148\nMagenta 244769197\nPurple 690458542\nIndianRed 432284124\nBlanchedAlmond 244769197\nMediumTurquoise 526989053\navDqsMbdrrMdB 236542846\nvaGiRaCYfDjDuIWKcAh 330752060\nSpringGreen 427772478\nspd 281640481\nCornflower 445422678\nDeepSkyBlue 192863168\nLightCoral 369255904\nPurple 311395860\nTan 874416618\nCornsilk 416400083\nPowderBlue 311036663\nDiTxsJPtpsrnoez 968763288\nLemonChiffon 244769197\nIndianRed 757457672\nSeaGreen 570071824\nGold 657010442\nLightCoral 635323\nMediumOrchid 864820219\nqEtn 239305841\nPowderBlue 150974283\nRoyalBlue 416400083\neDZDqJvmxudQAhyumZSD 445422678\nLimeGreen 138156001\nvdOpPxJRvBw 882695435\nvdOpPxJRvBw 541302528\nSkyBlue 47749192\niN 244769197\npHmssffPYEM 330752060\nHGzJkQb 416400083\nWebPurple 239305841\nLightYellow 16267859\nNavyBlue 279975537\nSandyBrown 324086586\nXBUjgaHnHl 262824872\nPlum 239305841\nFirebrick 467633897\nLinen 244769197\nGold 869723340\nLightYellow 418394964\nChocolate 69715905\nPink 244769197\nWhite 720065988\nLightGray 483383493\nCyan 373214997\nFUHgZK 521048590\nRosyBrown 61119683\nLavender 633341182\nXpL 643017161\nAntiqueWhite 301751037\nDarkViolet 56938451\nDarkViolet 155247462\nMediumSeaGreen 324086586\noGJTdJuAjHsHZjTJ 458029295\nMediumSpringGreen 244769197\nOliveDrab 244769197\ntsauKzDei 244769197\nFUHgZK 742696252\nGold 945636287\nIvory 244769197\nRebeccaPurple 244769197\nMediumAquamarine 968763288\nBeige 386031550\nLightSeaGreen 497115363\nDeepPink 945636287\nDarkSlateGray 244769197\nDodgerBlue 561792408\nAquamarine 716429383\n" }, { "input": "903 903\nmdhlKnOhOwa 516760925\ngNLVJLGgnXkVFPGHG 368116118\nDarkSalmon 52581848\noImYgtjvV 201690947\nvFOgpjXVFOn 23259197\nstgtmFFGkRsWK 773620505\nDarkMagenta 935688590\nvFOgpjXVFOn 738029951\nhMzIS 802607208\nLightGoldenrod 326557231\nGreenYellow 461044782\nCnJSXNxRjHE 64290098\nDodgerBlue 789325961\nvFOgpjXVFOn 962465019\nUjvxbye 910857953\nvFOgpjXVFOn 86874338\nLightSkyBlue 192388834\nvFOgpjXVFOn 802705001\nIDXmzFQcjhSGTdb 935688590\nhPgdxuZpKD 842224507\nT 114017897\nWhite 483709124\nLightYellow 443961995\ng 90941545\nBMLWgGHh 294832014\nvFOgpjXVFOn 258160292\nZ 552488016\nvFOgpjXVFOn 672840454\nzF 789325961\nE 913490698\nyRXmQNECRknTio 461044782\nYMRN 74399485\nWh 38721084\nNBV 124890985\nemjGzlBOquTZopRe 121536284\nSlateGray 114017897\novdpnbXf 508583616\nBlue 676109149\nLightGreen 963981083\nCornsilk 887161906\nvFOgpjXVFOn 556298248\nQgvGw 516760925\nLightSeaGreen 966550887\nsx 679330105\nhZHGZ 291012094\nqMVHGrVgQfxv 505820175\nvFOgpjXVFOn 317601909\nPEZKhdXVDbUmZnPYOr 231261868\nYellowGreen 587354986\nFc 146462477\nChartreuse 303219771\nOrchid 604735384\nvFOgpjXVFOn 465254126\nXaVNulhaGpNF 505820175\nHhMbqQEHYUnpNmJYYMAD 508583616\nvFOgpjXVFOn 468226748\nvrvlse 657366179\nvFOgpjXVFOn 707825269\nhPgdxuZpKD 377850985\nXkGkf 405138781\nDarkSalmon 742930887\nFuchsia 15203722\nNZEYKVZsCGABdkPhK 919918579\nvrvlse 749766949\naNkfURVXoIOLil 505820175\ntVFRlaBiciIvwcZ 913490698\nPBhlfISIfqXoHi 15203722\nMyzBjDlkZZU 98426903\nMoccasin 631257971\nowmoVoCpPRrGAbXjOjhG 847672245\nvFOgpjXVFOn 922940379\nOSrxBSpswofmEKIQgT 951322723\ngyu 379184504\nqMVHGrVgQfxv 679330105\nvjtzYmqPeLOBn 306513322\nSaddleBrown 658642764\nsqLakZH 1430676\nvFOgpjXVFOn 8616367\nhPgdxuZpKD 820023469\nDarkBlue 120854074\nsGg 703210566\nGold 432686607\nfCVLVKlRMYnCw 88084868\nFirebrick 698147636\nDDLtUofWXIDpN 210218516\nPowderBlue 812054702\nzLdCfIkyBLz 415200427\nPeachPuff 38721084\nKhaki 95088585\nZNGDyofFQnwvgSUpSEoF 133030310\nCoral 573207327\nGPfCArRSxrjetNkAVv 789325961\nvFOgpjXVFOn 604607825\nBR 587354986\nPaleTurquoise 175658509\nChPdv 116333766\nhMzIS 59659034\nmEyDqAisGUITjye 110464585\nGQzxDpjVygxnZNYno 772356559\nfd 344594784\nvFOgpjXVFOn 1238301\nZKBYijjZVybaQczKX 913490698\nAquamarine 936420675\nOrchid 772008547\nhPgdxuZpKD 323335732\nvFOgpjXVFOn 727829837\nSkyBlue 655738644\nvFOgpjXVFOn 678134509\nCnJSXNxRjHE 862874995\nvFOgpjXVFOn 419035722\nQ 777711095\nYMRN 88084868\ntXE 212730252\nuVfuFknj 789325961\nDarkSeaGreen 472656542\nQdPMfoWusFfZetLx 507800859\ncDuFOlrjN 824404700\nzLdCfIkyBLz 200241764\nDarkSlateBlue 822999001\nSqZAvmEMAdqW 58383403\nyRXmQNECRknTio 670462172\nmXqWPqoIgP 263199089\nnlbC 639621697\nZNGDyofFQnwvgSUpSEoF 696110769\nBMLWgGHh 304905062\noxe 303983443\nChPdv 129681750\nvFOgpjXVFOn 789077345\nfd 477016516\nUAacvDaIoAbbnTlPPRfN 679330105\nvFOgpjXVFOn 818879774\nvFOgpjXVFOn 790526677\nv 666372059\nrMcx 41774299\nvFOgpjXVFOn 723698022\nMediumAquamarine 566049244\nWebMaroon 90941545\nnZxmD 326557231\nvFOgpjXVFOn 455092808\nGray 894634739\nPEZKhdXVDbUmZnPYOr 874798939\npWpEujpW 789325961\njloVjTXIkyuBX 599268312\nZXLjeJCl 666372059\nBosdfEi 67669509\nRBUtRkIJfERejQf 655738644\nvFOgpjXVFOn 342852230\nOrchid 958186348\nDarkSeaGreen 835309438\nLavender 236407929\nvFOgpjXVFOn 797140375\nvFOgpjXVFOn 683230551\nPEZKhdXVDbUmZnPYOr 773620505\nPEZKhdXVDbUmZnPYOr 280799761\nPEZKhdXVDbUmZnPYOr 887595011\nBlueViolet 146462477\nWhiteSmoke 904836350\nMyzBjDlkZZU 336211043\nBMLWgGHh 125750113\nVlRvOrOHZBNc 95858618\nHoneydew 38721084\nLightBlue 196717840\nRoyalBlue 58383403\nsYL 175658509\nJOMGVAEHi 101725431\nSKjq 273475148\nvFOgpjXVFOn 401823918\nBosdfEi 596784396\nMwulaZCFPKFSwLVj 439568182\nSbKvScBPbxohi 246468016\nPaleGoldenrod 515447238\nqMVHGrVgQfxv 587354986\nVYJDfKXWm 236407929\nBMLWgGHh 309433759\nOrchid 396447685\nChartreuse 708731544\nqmrwtxMqiJNVEOizn 306513322\nEwn 892501902\nwmUSzZOKmVEoLLTHYa 98426903\nhPgdxuZpKD 451389661\nRVClzabiVGgfjfropP 23466549\nikhaOWpW 679972816\nvFOgpjXVFOn 509227323\nqMVHGrVgQfxv 483709124\nDarkSeaGreen 696110769\nSsLSfUWrflVJzFzfMai 590297577\nMediumAquamarine 662103063\nLightGray 515447238\nlnNhAGQfc 98426903\nBosdfEi 999188023\nvFOgpjXVFOn 828297307\nrMcx 983967614\nwAfHsvdhdKMxUqDynC 515447238\nGQzxDpjVygxnZNYno 70369437\nIKKBImaX 550772235\nVPgKKZ 192388834\nfCVLVKlRMYnCw 700282402\naPBQCjHSsCkglBk 36272278\nGainsboro 451706442\nvFOgpjXVFOn 161963634\nhPgdxuZpKD 748661183\nMediumTurquoise 114017897\nXQGIHqqb 919918579\ncdQhfuwB 698147636\nOldLace 822295607\nCadetBlue 38721084\nMediumSeaGreen 507800859\nFaSeVcbCJCyvjBAeEONT 452837267\nvFOgpjXVFOn 333768957\nTomato 670462172\nhPgdxuZpKD 325189323\norHqM 549277327\nQexvsKlozTJdZQNYk 118850954\nKMlCTgA 549277327\nCyan 887161906\nBlue 889329089\nViolet 326557231\nvFOgpjXVFOn 231206549\nvFOgpjXVFOn 974376780\naUKvhrdCVKNt 1430676\nhPgdxuZpKD 97348140\nhExbwXFxo 405138781\nWD 907096377\nChPdv 571934298\nEwn 955787314\nWebPurple 936420675\nvFOgpjXVFOn 6242126\nCoral 434019199\nuVfuFknj 919918579\nzNQdeQeIZo 432686607\nDarkOrchid 887161906\nvFOgpjXVFOn 406911251\nvFOgpjXVFOn 882460271\nvFOgpjXVFOn 31148631\nOrchid 303986418\nDarkGreen 36272278\nvFOgpjXVFOn 814868421\nZQFrBAynvCyxrvrmke 326557231\ntIywyPQTGVBvkGgc 291012094\nvFOgpjXVFOn 648475087\nZNGDyofFQnwvgSUpSEoF 780793049\nVPgKKZ 505820175\nwKEtKeKPbC 745252861\nMGr 919918579\nWZHVaHDnceRbPzkH 114017897\nDarkSeaGreen 916657096\nVPN 609197002\nvFOgpjXVFOn 501347813\nvrvlse 668960476\noV 887161906\nvFOgpjXVFOn 574986619\nLightSteelBlue 940899974\nLinen 963981083\nWebGray 809435476\nvFOgpjXVFOn 243064663\nBosdfEi 192622663\nRdLBERpFNJoWZnEskl 161953327\nCnJSXNxRjHE 51531267\nowmoVoCpPRrGAbXjOjhG 980715182\nhPgdxuZpKD 764334815\nzLdCfIkyBLz 965816140\nWxvGDhfxYOrHjCrk 273475148\nvFOgpjXVFOn 455621594\nWebGreen 89473341\nZvWpwGpAVcTphEj 508583616\nMediumAquamarine 878342819\nvFOgpjXVFOn 240340919\nxEqAGUrBZWlsmTru 78100478\nvFOgpjXVFOn 48240255\nP 802607208\nXYcwnePF 356863544\nVzCDmNPJVqyVN 273475148\nvFOgpjXVFOn 453616060\nvFOgpjXVFOn 12443683\noLeP 549277327\nJIuqUoQXZsLmmWuEuG 405138781\nSaddleBrown 192622663\nRUdtKpLMxoThlR 336211043\nvFOgpjXVFOn 155398230\nvFOgpjXVFOn 987446609\nvFOgpjXVFOn 849611220\nMediumAquamarine 742873689\nvFOgpjXVFOn 676247143\nvFOgpjXVFOn 398846440\nUhgNx 263199089\nLaWlnqyhbqKzUg 329572136\neXObkLbpmouaJRaKqw 463177099\nvFOgpjXVFOn 827845159\nveC 326557231\nUJBURmjEcSfYiZFikhe 359492082\nNavajoWhite 175658509\nYMRN 200241764\nBlanchedAlmond 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535912452\nUAacvDaIoAbbnTlPPRfN 110464585\nvFOgpjXVFOn 706903130\nvFOgpjXVFOn 348024826\nOrangeRed 549277327\nwmUSzZOKmVEoLLTHYa 600511639\nNJDpakHXovXSsGHAlHI 439568182\nvFOgpjXVFOn 396932046\nGQzxDpjVygxnZNYno 826457826\nvFOgpjXVFOn 555678919\nYDBoYgfknP 963981083\nZ 839246634\nXHGak 794245271\nAZlFBJmexbQwXS 114017897\nXmyWeKedd 824404700\nLXlIpHbRPnrERpaqLFO 263199089\nCornflower 36272278\naHxVbs 263199089\naWtdBGURUPmAmg 36272278\nDarkBlue 124261998\nOrchid 830727266\nCoral 363512394\nKJhTBaljGoOiku 899477161\nDDLtUofWXIDpN 472656542\nMediumBlue 331418917\nvFOgpjXVFOn 609566831\ncBowSETHDI 187655090\nMediumBlue 388495724\nZ 740645483\nLavenderBlush 212730252\nGoldenrod 495325304\nIKKBImaX 74057035\nNavyBlue 429153300\nXQGIHqqb 443961995\nvFOgpjXVFOn 288159040\nPeru 980657730\nMediumAquamarine 920366646\nDarkBlue 197768747\noxe 248288890\nSaddleBrown 971189541\nfqqYgQZCRfkogWHgSSY 1430676\nMagenta 15203722\nCoral 908297465\nvFOgpjXVFOn 147644172\neXObkLbpmouaJRaKqw 871994050\nmnGpkzyAThJoYtWrg 101725431\nGold 326557231\nvFOgpjXVFOn 741117579\nLemonChiffon 590297577\nDarkKhaki 155110778\nJVnkbbGbsCTfjNZ 429153300\nAScTbNnWJIhYT 273475148\nBlack 429153300\nvFOgpjXVFOn 876873027\nAqua 796947827\nQqqmKRFVB 871994050\nMediumVioletRed 507800859\nLime 910857953\nXaVNulhaGpNF 121536284\nQsCqdESibc 38721084\nNtfM 36272278\nhPgdxuZpKD 920821921\nhPgdxuZpKD 562405898\nCnJSXNxRjHE 502371520\ndgqJIvItCIgttgh 201690947\nRoSaeSFRX 114017897\npLFwVMx 443961995\nOrchid 600481761\nFloralWhite 590297577\nMediumAquamarine 132031648\nSaddleBrown 740645483\nvFOgpjXVFOn 430822613\nvFOgpjXVFOn 463823904\nJnOZWQMYqfKOAmrZLM 495325304\nvFOgpjXVFOn 217684934\nvFOgpjXVFOn 447923183\nvknDFFYTl 451706442\nvFOgpjXVFOn 482909076\nCnJSXNxRjHE 513818784\nvFOgpjXVFOn 711362709\nGhostWhite 515447238\nQsCqdESibc 377223681\nvFOgpjXVFOn 965511941\nvFOgpjXVFOn 640969297\nvFOgpjXVFOn 211267705\nO 975910212\nfCVLVKlRMYnCw 320843318\nGreen 377223681\nebLJxoppvrJxckeg 1430676\nwbccGKuyO 199991535\nvoGELDSNJ 114017897\nJnOZWQMYqfKOAmrZLM 326557231\npkVfrWZ 36272278\nPurple 428553286\nvFOgpjXVFOn 475660124\nvFOgpjXVFOn 824335715\nLightCoral 515447238\nPaleGreen 698156262\nIndianRed 270271932\nvFOgpjXVFOn 725519655\nvFOgpjXVFOn 327590944\nqFmIICedSVL 114017897\nCnJSXNxRjHE 427494616\nsx 742930887\nSaddleBrown 231261868\nCnJSXNxRjHE 196273776\nvFOgpjXVFOn 659141091\nvFOgpjXVFOn 506164976\nvFOgpjXVFOn 691901417\nvxOejpxoGVICLjs 344594784\nQexvsKlozTJdZQNYk 29244111\nwKEtKeKPbC 70369437\nCNdKVqHoFx 114017897\nvFOgpjXVFOn 90594288\nvFOgpjXVFOn 511989151\nDarkSeaGreen 535912452\nAwKjvqifPqIeTwXSZMF 246468016\nUJBURmjEcSfYiZFikhe 422702283\nvFOgpjXVFOn 964008704\nvFOgpjXVFOn 445076925\nQVtLpLPq 431609092\n", "output": "903 903\nmdhlKnOhOwa 516760925\ngNLVJLGgnXkVFPGHG 368116118\nDarkSalmon 52581848\noImYgtjvV 201690947\nvFOgpjXVFOn 23259197\nstgtmFFGkRsWK 773620505\nDarkMagenta 935688590\nvFOgpjXVFOn 738029951\nhMzIS 802607208\nLightGoldenrod 326557231\nGreenYellow 461044782\nCnJSXNxRjHE 64290098\nDodgerBlue 789325961\nvFOgpjXVFOn 962465019\nUjvxbye 910857953\nvFOgpjXVFOn 86874338\nLightSkyBlue 192388834\nvFOgpjXVFOn 802705001\nIDXmzFQcjhSGTdb 935688590\nhPgdxuZpKD 842224507\nT 114017897\nWhite 483709124\nLightYellow 443961995\ng 90941545\nBMLWgGHh 294832014\nvFOgpjXVFOn 258160292\nZ 552488016\nvFOgpjXVFOn 672840454\nzF 789325961\nE 913490698\nyRXmQNECRknTio 461044782\nYMRN 74399485\nWh 38721084\nNBV 124890985\nemjGzlBOquTZopRe 121536284\nSlateGray 114017897\novdpnbXf 508583616\nBlue 676109149\nLightGreen 963981083\nCornsilk 887161906\nvFOgpjXVFOn 556298248\nQgvGw 516760925\nLightSeaGreen 966550887\nsx 679330105\nhZHGZ 291012094\nqMVHGrVgQfxv 505820175\nvFOgpjXVFOn 317601909\nPEZKhdXVDbUmZnPYOr 231261868\nYellowGreen 587354986\nFc 146462477\nChartreuse 303219771\nOrchid 604735384\nvFOgpjXVFOn 465254126\nXaVNulhaGpNF 505820175\nHhMbqQEHYUnpNmJYYMAD 508583616\nvFOgpjXVFOn 468226748\nvrvlse 657366179\nvFOgpjXVFOn 707825269\nhPgdxuZpKD 377850985\nXkGkf 405138781\nDarkSalmon 742930887\nFuchsia 15203722\nNZEYKVZsCGABdkPhK 919918579\nvrvlse 749766949\naNkfURVXoIOLil 505820175\ntVFRlaBiciIvwcZ 913490698\nPBhlfISIfqXoHi 15203722\nMyzBjDlkZZU 98426903\nMoccasin 631257971\nowmoVoCpPRrGAbXjOjhG 847672245\nvFOgpjXVFOn 922940379\nOSrxBSpswofmEKIQgT 951322723\ngyu 379184504\nqMVHGrVgQfxv 679330105\nvjtzYmqPeLOBn 306513322\nSaddleBrown 658642764\nsqLakZH 1430676\nvFOgpjXVFOn 8616367\nhPgdxuZpKD 820023469\nDarkBlue 120854074\nsGg 703210566\nGold 432686607\nfCVLVKlRMYnCw 88084868\nFirebrick 698147636\nDDLtUofWXIDpN 210218516\nPowderBlue 812054702\nzLdCfIkyBLz 415200427\nPeachPuff 38721084\nKhaki 95088585\nZNGDyofFQnwvgSUpSEoF 133030310\nCoral 573207327\nGPfCArRSxrjetNkAVv 789325961\nvFOgpjXVFOn 604607825\nBR 587354986\nPaleTurquoise 175658509\nChPdv 116333766\nhMzIS 59659034\nmEyDqAisGUITjye 110464585\nGQzxDpjVygxnZNYno 772356559\nfd 344594784\nvFOgpjXVFOn 1238301\nZKBYijjZVybaQczKX 913490698\nAquamarine 936420675\nOrchid 772008547\nhPgdxuZpKD 323335732\nvFOgpjXVFOn 727829837\nSkyBlue 655738644\nvFOgpjXVFOn 678134509\nCnJSXNxRjHE 862874995\nvFOgpjXVFOn 419035722\nQ 777711095\nYMRN 88084868\ntXE 212730252\nuVfuFknj 789325961\nDarkSeaGreen 472656542\nQdPMfoWusFfZetLx 507800859\ncDuFOlrjN 824404700\nzLdCfIkyBLz 200241764\nDarkSlateBlue 822999001\nSqZAvmEMAdqW 58383403\nyRXmQNECRknTio 670462172\nmXqWPqoIgP 263199089\nnlbC 639621697\nZNGDyofFQnwvgSUpSEoF 696110769\nBMLWgGHh 304905062\noxe 303983443\nChPdv 129681750\nvFOgpjXVFOn 789077345\nfd 477016516\nUAacvDaIoAbbnTlPPRfN 679330105\nvFOgpjXVFOn 818879774\nvFOgpjXVFOn 790526677\nv 666372059\nrMcx 41774299\nvFOgpjXVFOn 723698022\nMediumAquamarine 566049244\nWebMaroon 90941545\nnZxmD 326557231\nvFOgpjXVFOn 455092808\nGray 894634739\nPEZKhdXVDbUmZnPYOr 874798939\npWpEujpW 789325961\njloVjTXIkyuBX 599268312\nZXLjeJCl 666372059\nBosdfEi 67669509\nRBUtRkIJfERejQf 655738644\nvFOgpjXVFOn 342852230\nOrchid 958186348\nDarkSeaGreen 835309438\nLavender 236407929\nvFOgpjXVFOn 797140375\nvFOgpjXVFOn 683230551\nPEZKhdXVDbUmZnPYOr 773620505\nPEZKhdXVDbUmZnPYOr 280799761\nPEZKhdXVDbUmZnPYOr 887595011\nBlueViolet 146462477\nWhiteSmoke 904836350\nMyzBjDlkZZU 336211043\nBMLWgGHh 125750113\nVlRvOrOHZBNc 95858618\nHoneydew 38721084\nLightBlue 196717840\nRoyalBlue 58383403\nsYL 175658509\nJOMGVAEHi 101725431\nSKjq 273475148\nvFOgpjXVFOn 401823918\nBosdfEi 596784396\nMwulaZCFPKFSwLVj 439568182\nSbKvScBPbxohi 246468016\nPaleGoldenrod 515447238\nqMVHGrVgQfxv 587354986\nVYJDfKXWm 236407929\nBMLWgGHh 309433759\nOrchid 396447685\nChartreuse 708731544\nqmrwtxMqiJNVEOizn 306513322\nEwn 892501902\nwmUSzZOKmVEoLLTHYa 98426903\nhPgdxuZpKD 451389661\nRVClzabiVGgfjfropP 23466549\nikhaOWpW 679972816\nvFOgpjXVFOn 509227323\nqMVHGrVgQfxv 483709124\nDarkSeaGreen 696110769\nSsLSfUWrflVJzFzfMai 590297577\nMediumAquamarine 662103063\nLightGray 515447238\nlnNhAGQfc 98426903\nBosdfEi 999188023\nvFOgpjXVFOn 828297307\nrMcx 983967614\nwAfHsvdhdKMxUqDynC 515447238\nGQzxDpjVygxnZNYno 70369437\nIKKBImaX 550772235\nVPgKKZ 192388834\nfCVLVKlRMYnCw 700282402\naPBQCjHSsCkglBk 36272278\nGainsboro 451706442\nvFOgpjXVFOn 161963634\nhPgdxuZpKD 748661183\nMediumTurquoise 114017897\nXQGIHqqb 919918579\ncdQhfuwB 698147636\nOldLace 822295607\nCadetBlue 38721084\nMediumSeaGreen 507800859\nFaSeVcbCJCyvjBAeEONT 452837267\nvFOgpjXVFOn 333768957\nTomato 670462172\nhPgdxuZpKD 325189323\norHqM 549277327\nQexvsKlozTJdZQNYk 118850954\nKMlCTgA 549277327\nCyan 887161906\nBlue 889329089\nViolet 326557231\nvFOgpjXVFOn 231206549\nvFOgpjXVFOn 974376780\naUKvhrdCVKNt 1430676\nhPgdxuZpKD 97348140\nhExbwXFxo 405138781\nWD 907096377\nChPdv 571934298\nEwn 955787314\nWebPurple 936420675\nvFOgpjXVFOn 6242126\nCoral 434019199\nuVfuFknj 919918579\nzNQdeQeIZo 432686607\nDarkOrchid 887161906\nvFOgpjXVFOn 406911251\nvFOgpjXVFOn 882460271\nvFOgpjXVFOn 31148631\nOrchid 303986418\nDarkGreen 36272278\nvFOgpjXVFOn 814868421\nZQFrBAynvCyxrvrmke 326557231\ntIywyPQTGVBvkGgc 291012094\nvFOgpjXVFOn 648475087\nZNGDyofFQnwvgSUpSEoF 780793049\nVPgKKZ 505820175\nwKEtKeKPbC 745252861\nMGr 919918579\nWZHVaHDnceRbPzkH 114017897\nDarkSeaGreen 916657096\nVPN 609197002\nvFOgpjXVFOn 501347813\nvrvlse 668960476\noV 887161906\nvFOgpjXVFOn 574986619\nLightSteelBlue 940899974\nLinen 963981083\nWebGray 809435476\nvFOgpjXVFOn 243064663\nBosdfEi 192622663\nRdLBERpFNJoWZnEskl 161953327\nCnJSXNxRjHE 51531267\nowmoVoCpPRrGAbXjOjhG 980715182\nhPgdxuZpKD 764334815\nzLdCfIkyBLz 965816140\nWxvGDhfxYOrHjCrk 273475148\nvFOgpjXVFOn 455621594\nWebGreen 89473341\nZvWpwGpAVcTphEj 508583616\nMediumAquamarine 878342819\nvFOgpjXVFOn 240340919\nxEqAGUrBZWlsmTru 78100478\nvFOgpjXVFOn 48240255\nP 802607208\nXYcwnePF 356863544\nVzCDmNPJVqyVN 273475148\nvFOgpjXVFOn 453616060\nvFOgpjXVFOn 12443683\noLeP 549277327\nJIuqUoQXZsLmmWuEuG 405138781\nSaddleBrown 192622663\nRUdtKpLMxoThlR 336211043\nvFOgpjXVFOn 155398230\nvFOgpjXVFOn 987446609\nvFOgpjXVFOn 849611220\nMediumAquamarine 742873689\nvFOgpjXVFOn 676247143\nvFOgpjXVFOn 398846440\nUhgNx 263199089\nLaWlnqyhbqKzUg 329572136\neXObkLbpmouaJRaKqw 463177099\nvFOgpjXVFOn 827845159\nveC 326557231\nUJBURmjEcSfYiZFikhe 359492082\nNavajoWhite 175658509\nYMRN 200241764\nBlanchedAlmond 236407929\nhZHGZ 475697390\nvFOgpjXVFOn 991473257\nXkGkf 904836350\ntcuXCDbVqASuXRjiL 516760925\nHotPink 894634739\nSaddleBrown 280799761\nDarkCyan 175658509\nSpringGreen 236407929\nwKEtKeKPbC 74057035\nMediumSlateBlue 507800859\nMyzBjDlkZZU 907096377\nCoral 943039265\noMwUUMfpxXIaAhCEgFBX 461044782\nMediumBlue 325254984\nMediumBlue 917987904\nUAacvDaIoAbbnTlPPRfN 377223681\naMDqkdNh 74399485\naUKvhrdCVKNt 495325304\nMYjCSvidgrrGvzeEI 429153300\nvFOgpjXVFOn 176672884\nRdXhnQ 463177099\nvFOgpjXVFOn 425600536\njloVjTXIkyuBX 187655090\nhZHGZ 858908714\nFXsEwqLDjY 495325304\nLinen 95088585\nGreen 95088585\ngyu 981409999\nMediumAquamarine 451500510\nTGuM 1430676\nvFOgpjXVFOn 712416834\nvFOgpjXVFOn 822023374\nXYcwnePF 871994050\nvFOgpjXVFOn 213220261\nvFOgpjXVFOn 145230519\nWheat 549277327\nZ 249419751\nLightBlue 356863544\nMediumAquamarine 920821921\nwtrXMoXDAXjvRGO 940899974\nosoIzMdDIYuTK 329572136\niO 812054702\njLDcnYcxJcERC 36272278\nPurple 58383403\nhPgdxuZpKD 242784074\nwmUSzZOKmVEoLLTHYa 907096377\nBBiNpBOCBSgg 668960476\nvFOgpjXVFOn 547768008\nvFOgpjXVFOn 12656178\nZvWpwGpAVcTphEj 900104508\nUgaQVCtvFOUoVkIh 118850954\nBlue 291012094\nvknDFFYTl 812054702\nvFOgpjXVFOn 819505925\nvFOgpjXVFOn 479158951\nvFOgpjXVFOn 338978895\nPeru 142987115\nvFOgpjXVFOn 187131949\nvFOgpjXVFOn 961297406\nvFOgpjXVFOn 535213767\nRebeccaPurple 698156262\nHoneydew 940899974\nDarkSlateBlue 812054702\nyghJqYokWFwN 23466549\nqgpEmrrbmEWkRmYD 780793049\nqU 89473341\nwjkvkfXikG 98056113\nZ 999188023\nhPgdxuZpKD 310955166\nFcxjBuh 698147636\nliiMxmmWPEjSJ 966550887\nvFOgpjXVFOn 124578183\nvFOgpjXVFOn 355851071\nfwNoW 432686607\nIxEDfDKmBztEVFvgkrKU 329572136\nopjLeVkvLlLwF 730704265\nqU 52581848\nvFOgpjXVFOn 969624376\noxe 600511639\nhPgdxuZpKD 742873689\nhr 483709124\nstgtmFFGkRsWK 658642764\njnKy 748326734\nYMRN 696110769\nlxJZk 36272278\nvFOgpjXVFOn 981587404\nDarkOrange 199991535\nvFOgpjXVFOn 688722950\nvFOgpjXVFOn 227706635\nDarkSlateGray 835309438\nBlue 475697390\nRed 335637702\nzLdCfIkyBLz 331992354\nMintCream 15203722\nBMLWgGHh 917987904\nLightSalmon 23466549\nvFOgpjXVFOn 652337687\ncLLYEkDC 961099090\nDarkGoldenrod 329572136\ngNLVJLGgnXkVFPGHG 745252861\nQJmgHAujOZsUpUnlLjeo 910857953\nyk 161953327\niVHZdCbVkIFmWN 146462477\nvFOgpjXVFOn 121336851\nGray 777711095\nVqlOaNRQkIJ 263199089\nTNsrDZDT 335637702\nBisque 966550887\nRqSTxWYbVAxNI 36272278\nvFOgpjXVFOn 80219137\npkVfrWZ 114017897\nzLiDvgyxSx 899477161\nzLdCfIkyBLz 157776689\nBgTwwg 507800859\nnZxmD 309160567\nnfkqUdGxx 429153300\nYMRN 835309438\nQQJ 411075301\nvFOgpjXVFOn 522532654\nTkCnGtgtcoMql 631257971\nChPdv 502371520\nDarkSeaGreen 965816140\nIvory 146462477\nPNnVeLYizYBOoyj 670462172\nvFOgpjXVFOn 787276669\nmGUBqmVQaXHfWPCcsFoZ 812054702\nvFOgpjXVFOn 5343368\nBurlywood 49910870\nvFOgpjXVFOn 308767314\nCadetBlue 963981083\ntIywyPQTGVBvkGgc 858908714\nSaddleBrown 917987904\nDeepPink 483709124\nSalmon 871994050\nvFOgpjXVFOn 138925807\nstgtmFFGkRsWK 125750113\ngfrafxwfWSSymobgnAl 175658509\nemjGzlBOquTZopRe 587354986\nvFOgpjXVFOn 879955315\ntIywyPQTGVBvkGgc 475697390\nvFOgpjXVFOn 292018125\nOlive 192388834\nwKEtKeKPbC 6601957\nMediumAquamarine 733130722\nPEZKhdXVDbUmZnPYOr 655108374\nXYcwnePF 731944395\nPEZKhdXVDbUmZnPYOr 304905062\nMyzBjDlkZZU 248288890\nhPgdxuZpKD 811841806\nlOP 549277327\nDeepPink 505820175\nStErwHuplR 429153300\nTHmUMyoJyqd 639621697\nLimeGreen 549277327\nvFOgpjXVFOn 782823722\nwKEtKeKPbC 341193363\naORjWPf 36272278\nvFOgpjXVFOn 546530965\nvFOgpjXVFOn 663126472\nvFOgpjXVFOn 576197529\nBgdjcmeWWgQjzEi 36272278\nOrchid 608690401\nWEeluPIHZhvniUoTj 748326734\nRUdtKpLMxoThlR 977903592\nUAacvDaIoAbbnTlPPRfN 89473341\nveFND 306513322\nPEZKhdXVDbUmZnPYOr 694535536\nvFOgpjXVFOn 941171523\nvFOgpjXVFOn 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375821603\nbPiqFTOUkNEQWMnBOq 288119266\nMediumBlue 52604492\nkpZkdYYkIt 713693872\niKYmZCUxKDYSZgOtwWp 591570724\nfZItq 888270785\nrTFhjZx 598959280\nDeepSkyBlue 869913368\nDeepSkyBlue 902952703\nXwdUtwUc 39165797\nwIX 862266597\nCrimson 99514258\nForestGreen 292987549\noAhazXUpHHJd 484894128\nQmcJhQTucPOXfDoT 668970333\nGZc 287366698\nlLdjm 568372791\nXdmwNy 8837827\nkpZkdYYkIt 5641673\nLavenderBlush 25651731\nKfiOgXrfiymHNlwphW 631546624\nMediumSpringGreen 971834130\nkpZkdYYkIt 597419097\nSaQdiFekztQtsUwB 184896040\nGFauSMUINjGUEjevjSra 861541223\nDZJOKmUl 203042358\nLYRkVV 971834130\nRXJ 924887134\nhgRRBQjaxGYjS 147587233\ncsHHEpXFgMnXOoTHyfbC 823500372\nztHdPfQSku 793015730\nGreen 930178699\nZgbY 539853645\nLNiMNsKLJRA 753726080\nEFpGNmGi 269004194\nFleGDLyjbGqGU 695456612\nEFVz 563726147\ngFPLgPIOGQFnmdBCaHbi 924887134\nkpZkdYYkIt 894744872\nOFoFNg 77904193\nCornsilk 686863218\nHcxX 580709735\nsOqtmIxOVZBajm 686863218\nidFoBWFN 195823714\nkpZkdYYkIt 910324992\nxmbAeCOZ 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442954987\nupntQLdHFEVYMxigs 279553977\nSaddleBrown 532791341\nsJrGCn 775394639\nSXOMuJoX 705027066\nh 691667097\nYanXIlfbAumE 400176310\nBlueViolet 394562815\nTurquoise 885265139\nYSSBfcuephkIjrAbRM 573815013\nX 117266586\nQmcJhQTucPOXfDoT 491745372\nMidnightBlue 607845160\nKhaki 89808934\nkhcIuADNKuoS 612655078\nXPhxUAarMH 312526305\nidFoBWFN 665369133\nLightSalmon 613355009\noAhazXUpHHJd 863643478\nplLnZEJLtZZcEkDELz 888067317\nTLjOZUS 39165797\nkpZkdYYkIt 37033579\nvylmvQTICQecoUE 498999893\nPeachPuff 472565104\nLightPink 419750104\nqPlF 398419310\nFleGDLyjbGqGU 403519669\nChartreuse 852691005\nHtXTEnCDqF 950101821\nkpZkdYYkIt 446367100\nGhostWhite 44509872\ne 316505824\nUQOzRkcoKTp 927938054\nYyKuSqPAKwrwE 174224966\ntNezsMl 357519346\nidFoBWFN 269609498\nqHncaViHkRGXtlruaTwj 94323627\nZeNdtZd 948896558\nDeepSkyBlue 153980116\nSeaGreen 970332442\nXfCfpZ 823144897\ncsHHEpXFgMnXOoTHyfbC 373681720\nEDeVnioZSJrmuDtfBT 65105498\nAzure 800582453\nlka 97143252\nzUOvrlm 978920691\nsJrGCn 326888110\nKhaki 474579773\nFleGDLyjbGqGU 364611021\nnHyNcczCfmDoKBdd 479500572\nGainsboro 259598564\nwilnZNbrHJOairWSHUQ 992214290\nWjEv 386526809\nupntQLdHFEVYMxigs 75930762\nyDccPqSkypY 677072016\nGsxroTWUPcNgIDycx 966583149\nTixakRteqvK 914981537\nRJ 40699609\ngB 173098811\nYnkik 976299797\nChocolate 269004194\nLightGreen 842699222\nFLIkZC 860850016\nnRjxOlAFQwpLNjE 842486260\nMidnightBlue 962796268\npoitRbxFzZFzlUgnWD 855800606\nURKAQuvwePZ 684879438\nkTK 193236478\nPeru 247769102\nhanKoXFvDVrohGqCOuVz 91519156\nFleGDLyjbGqGU 961809389\nXTmVQPkECvTeMUxQcO 275793010\nRE 555265813\nkpZkdYYkIt 891522919\nTRRsfpFDBOtHj 443271042\nSalmon 734847013\nuGyGFyXznvwH 369224173\nqBlENkGMraucHvtcB 710622247\nLightCoral 350432580\nkpZkdYYkIt 888672018\nMediumTurquoise 434200678\nIUH 180285457\nPaleTurquoise 290476334\nFloralWhite 682600839\nzSEyC 971834130\nLightSteelBlue 466823718\nGZUUnfbQFBdyVaAxtWJ 484031831\ncXqXEFqY 998353109\nMaroon 91519156\nFleGDLyjbGqGU 254541240\ncsHHEpXFgMnXOoTHyfbC 221748011\nqAeDpJyJYqx 152143990\nCHfMSjHOvjC 985097461\nkpZkdYYkIt 565380246\nnbwZTuQCAFyRGyP 954217830\nKhaki 78468851\nSalmon 455698524\nDarkGreen 39165797\nBlack 682600839\nSeashell 637534772\nDarkOliveGreen 765571002\nTRRsfpFDBOtHj 652316756\nc 641900126\nOliveDrab 555265813\nFleGDLyjbGqGU 336638244\nsZ 573815013\nuNIrHRg 708327391\nNavyBlue 342237074\nMidnightBlue 14594056\nZwoJL 677072016\nFleGDLyjbGqGU 992515310\nEFVz 788462698\nTomato 730408242\nPaleGoldenrod 573815013\nheqVOfCaGLhFlcJws 688379325\njpMOSZinLJkaRMv 94323627\nJr 190928457\nmHgKGAJkmZSfhKGSGXa 287366698\nkpZkdYYkIt 297943986\nkpZkdYYkIt 349720819\nyIJYwqNtXWSUfvgKwXV 464608200\nZeNdtZd 720149716\nwilnZNbrHJOairWSHUQ 336923021\nkzHncVzhrCW 512620483\nzauWb 793015730\nChartreuse 721100630\nutzxSkpnyfgxEGdLmFv 529463066\nLwf 342739335\nThistle 147587233\nJKYquP 94323627\nXkVHDnhrvHR 290476334\nVaOmJGLBrxoPZcTchoU 512620483\nY 393686438\nKQGnpZ 686863218\nDarkOrchid 653413588\nxOYJxcyDONHVZRe 290476334\nsnURscDzJJVAEETf 256771852\nGray 275793010\nRJ 489987387\nwbFrQxOhuigmBLhUgze 710622247\nGoldenrod 170873766\nRQsRHOZf 7796280\niLYho 266113941\nMediumTurquoise 267183455\nkpZkdYYkIt 405522681\nTRRsfpFDBOtHj 456588170\nkYNenmCS 435094031\nvylmvQTICQecoUE 517268069\nFleGDLyjbGqGU 406510690\nMidnightBlue 869705129\ncsHHEpXFgMnXOoTHyfbC 623823378\nMediumSlateBlue 598959280\nDarkSalmon 598959280\nRcCrdsrzDdnddCH 366088919\nzgKEPHJUkLqipdMld 177240661\nbOwc 284372839\nSnow 311265441\nQwrOShhgQErmzPKgfLRi 112855552\nRUsqbgbDFPk 846747065\nEFVz 380472589\nakbwrwcEAftAoyouJ 682600839\nuNIrHRg 882577514\nWjEv 916829865\nCmvvucrZtiKi 41341876\nkpZkdYYkIt 304436668\nPapayaWhip 66601424\nz 170873766\nlka 701511321\nidFoBWFN 588636938\nwFvLE 269004194\nwieoJhYDDJHte 729356609\nCHfMSjHOvjC 176866494\nDimGray 404428502\nRworL 723449094\nMgBRm 363747682\nCWNxiwjJ 573815013\ngqQWVCeCagcDniyquhnI 927938054\nkpZkdYYkIt 851758459\nBNnHrtwLkCqkfYx 281191589\nLjLsyKrBoigq 462328190\nvylmvQTICQecoUE 644088876\npAZ 648732476\nniLddLQTvGCAioM 294174483\nlm 341179298\nBlanchedAlmond 260233449\nScNMjQNTkeEEglix 971834130\nkpZkdYYkIt 859249741\nKJkwmiIiQ 322556692\nCHfMSjHOvjC 627208623\nutGkAGzTh 715232508\nfSloYqEvQTCdxUbc 111666612\nkpZkdYYkIt 861042805\nL 472565104\n", "output": "904 800\nBMebOnpglbtmHvsZ 318873102\nGfQebFLXEtfbCIW 726136977\nSMszdEGriIuBRuEKgP 747922921\noeNeLPOmmdTgMTXOVC 398419310\nCyan 935039013\nViolet 570662203\nMidnightBlue 363356341\njGPiNaN 275793010\nDarkCyan 94323627\nPink 94323627\nLinen 363935994\nPaleGreen 895990801\nBRhVZhMSjtmmQbnMi 434541529\nrXzZsKZ 730101307\nGold 539853645\nTnvIUsFPX 542920376\ndZiEbdsUSo 630184924\ncXqXEFqY 929331093\nnxiKUp 842699222\nDeepSkyBlue 473991743\nerpY 710806384\nSalmon 389431161\nXfCfpZ 913027941\nDarkViolet 338563295\nIndianRed 39165797\nGfQebFLXEtfbCIW 361953010\nPurple 211989740\nDeepSkyBlue 428166686\noAhazXUpHHJd 915752134\nsEGPMjm 691667097\nDarkBlue 625757484\nDarkSlateBlue 266113941\nTan 598959280\nVbFd 676779667\nFzTb 353673069\nZdCONWzOMFsGb 13563305\nMdqDIVHHBniRWxBneh 734632497\nxI 765571002\nHuBJpsafjv 497996632\nCkDGQWRprhJHkkRa 598959280\nWheat 94323627\nidFoBWFN 322201529\nuYe 248171282\nTOzcdbZwL 539853645\nOdJZYtbFKExzsiBKC 539818260\nvylmvQTICQecoUE 172211465\njmbifsY 266113941\nheqVOfCaGLhFlcJws 994818187\nnmj 266113941\nCrimson 389076361\nAzure 258928876\nSkyBlue 761332605\naZmx 160107253\nZVPqVEiDzAneOjMcB 483836822\nywKFaVZGCWWNSTCAc 269004194\nkhcIuADNKuoS 757956432\nSpringGreen 496810018\nbOwc 704633330\nplLnZEJLtZZcEkDELz 931540636\nRWJWalAtiMilSVLLl 742124842\nvylmvQTICQecoUE 869100639\nehBztMVOm 691667097\nkhcIuADNKuoS 715380807\nbOwc 562165697\nCoral 487634765\nHeiQIpLMWBbrLsezp 970332442\nidFoBWFN 907035153\nu 697572544\nMediumTurquoise 217404622\nLightSkyBlue 174224966\ndoxHJcCrHtzwM 147587233\nGciGyy 807627025\nRcCrdsrzDdnddCH 236546045\nCoral 749358585\nkpZkdYYkIt 917918727\nFleGDLyjbGqGU 899069922\nSlateBlue 686863218\nqxVEPJbRcIcIiaq 970332442\nBisque 677072016\nQpmtQjFUY 976299797\nMkyJGbESpVLFnuqxsU 290476334\nIGWAIWYHz 149985689\nE 392990647\nBurlywood 598959280\nZDAtkklzLkT 573815013\nxnTbYlZTSgUkYnp 435734938\nCHfMSjHOvjC 908017971\nXHxYbpmqvFntpig 691667097\nLemonChiffon 602841501\nMidnightBlue 671931097\nMediumTurquoise 418959463\nFleGDLyjbGqGU 363304568\nMediumTurquoise 281461538\nLAZJQfOvzFabmg 606302270\nMidnightBlue 351455178\nLrQacmJtyvZUg 895329268\nkpZkdYYkIt 278118912\nAqua 211989740\nHnMszhVUZSbVCiueY 91519156\nSLX 891947388\nFirebrick 149489208\nRlPMVXMLlOtqtvwHs 620866117\nOldLace 39165797\nwEsVMnKQCvEOXwX 394101558\nwilnZNbrHJOairWSHUQ 250181951\nfPBsViuL 349483175\nX 924609568\nCmvvucrZtiKi 746854892\nTEBBrni 326445358\nXmapZnmpke 163890141\nCrimson 775855643\nKhbxJAWMzyAJDBtwMbL 402234860\nOrange 976299797\nLdYzg 772045673\nQYlRHHKliwDrO 621754328\nLAZJQfOvzFabmg 647466199\nXfCfpZ 945354182\nbfFVlhNhTdDKwDpUwyP 941317840\nZeNdtZd 755757209\nFWAnhwGIas 710622247\nZRHCVBR 60224507\nSMdiGoBETruFcK 588327140\nkpZkdYYkIt 894920788\nRMrYOAdnTTvZ 765571002\nCMFkiiFCsrpU 862555857\ngpUeukncFVz 211845894\nZVPqVEiDzAneOjMcB 33813436\nxnTbYlZTSgUkYnp 741409626\nDarkMagenta 747922921\noSCjOerBYCVrWncWmbK 690384699\nSKBcLd 539853645\nnRjxOlAFQwpLNjE 401504441\nAzure 622148947\nYrSgMkEyaJZT 281327525\nAzure 929020107\nbOwc 136920580\nXfCfpZ 972730460\nLightGoldenrod 147587233\nCrimson 862428471\nwieoJhYDDJHte 495330663\nkpZkdYYkIt 416700951\nYellow 924887134\nHcxX 426994243\nQCFiFVkRCuBMwXSCUxLT 971834130\nLightSlateGray 843990770\nKhbxJAWMzyAJDBtwMbL 751113381\nza 851401569\naZmx 22708055\nGyractVjAWT 686784876\nJnapXD 657203183\nhEoJTbfOkXOoBB 842699222\nMediumAquamarine 462328190\nKhbxJAWMzyAJDBtwMbL 254381182\nkpZkdYYkIt 715462820\nniLddLQTvGCAioM 686006476\nSilver 67402858\nmDyVg 842699222\nXzApFVohDiZq 163890141\nAIRZXcXmYueGdMcWYkq 60131071\nXPhxUAarMH 507906529\nWhite 238307259\nMagenta 811961914\nbAhPsJ 842699222\nDarkSeaGreen 39165797\nSrMV 84461552\nr 363935994\noAhazXUpHHJd 465034263\nufJfVtpTJaLCfwttcDB 83793620\nNzshwPkJyga 941497388\nZrjEdHlCdfoXpxmCvCDA 971834130\nOJjQpnBQ 60131071\nbVFok 84267392\nFleGDLyjbGqGU 315567864\nnuFrcXJJF 790606679\nxz 950101821\nDarkSlateGray 971834130\nnNrT 154016477\nwilnZNbrHJOairWSHUQ 402239123\nTKw 275793010\nmQzarnoYCiCWoPlnJyN 129461014\nDeepSkyBlue 875143560\nbW 194295785\nDLAqB 927938054\nDarkGoldenrod 610719499\nDarkTurquoise 768572418\npWssDYvzLhUvDjZeyU 94925261\nidFoBWFN 382383112\niTeDSyU 381093619\nMediumTurquoise 859404207\nradtHNKGZRjPUF 968551771\nRGqQFINdX 573815013\nbfFVlhNhTdDKwDpUwyP 39266867\nPaleVioletRed 76544001\nLightBlue 67239672\nnEWPENspzrFB 84267392\nl 714329151\nzBeBJg 547603167\nYrSgMkEyaJZT 230844562\nTdkQgsd 677072016\nwilnZNbrHJOairWSHUQ 957922817\niTeDSyU 680409161\nOrchid 269004194\nXfCfpZ 43357119\nclJpkoeZgPPNCggqaUQU 529463066\nGciGyy 371869881\nneGwLeAglZVye 290476334\nOlive 94323627\nHphhWxGemZDNreZWz 436918438\njKGBo 978920691\nFleGDLyjbGqGU 904434159\nyIkUCVqKUguGbnmyY 302746366\nOolHLcV 800896695\nDarkKhaki 853041535\nYrSgMkEyaJZT 269003037\nJNoJHCD 970332442\npsAhRzymjyjFZgRvHmY 363935994\nNavajoWhite 970332442\nwilnZNbrHJOairWSHUQ 99991960\nX 776926024\nMediumTurquoise 763339229\nFcdCgmoSZdYl 456180894\nSienna 710806384\nvA 971834130\nkpZkdYYkIt 432949012\nXuAZSFxlaezwHUsv 192562482\nStewqQWhorFeXibMq 555265813\nkpZkdYYkIt 479376664\ntkdlsfeCmpV 888704546\nwWONsKoMPEYAcwpTN 539853645\nZeNdtZd 793031958\nLemonChiffon 909659619\nntwhLwywvDGVkfQYwPa 287366698\nidFoBWFN 977833388\nDeepSkyBlue 227490093\nDeepSkyBlue 710621222\nnRjxOlAFQwpLNjE 892272619\nTxR 800896695\nkpZkdYYkIt 203182844\nma 976299797\noAKBVvYPIkDEXlaI 591570724\nidFoBWFN 32506223\nQNAIbJbsqJhG 206958185\nnPxuxvBpRUxlyooC 677072016\nRworL 804349517\nkpZkdYYkIt 510184376\nRWJWalAtiMilSVLLl 881740574\nJchm 594769793\nvgDhkiAjpCGumq 573815013\nzRQrAP 394101558\nPowderBlue 730101307\nwQ 555265813\nqSRnej 462328190\nbOwc 699453791\nKhaki 252975068\nmESyqSqFsaYRca 793015730\nFleGDLyjbGqGU 997321802\nAquamarine 924887134\ndvbsbSCXrIJRn 456915354\nSlTOOkiwM 5897252\ndbCgKWdrm 968551771\nsVGNvzXcXzPozV 842699222\noAhazXUpHHJd 710111174\nSalmon 833873406\nY 225117821\njOuhGVyeDAnY 94323627\nK 747922921\nsZIKltSjuv 94323627\nX 95876196\neTVttCOIxUvaqD 927938054\nyIJYwqNtXWSUfvgKwXV 375821603\nbPiqFTOUkNEQWMnBOq 288119266\nMediumBlue 52604492\nkpZkdYYkIt 713693872\niKYmZCUxKDYSZgOtwWp 591570724\nfZItq 888270785\nrTFhjZx 598959280\nDeepSkyBlue 869913368\nDeepSkyBlue 902952703\nXwdUtwUc 39165797\nwIX 862266597\nCrimson 99514258\nForestGreen 292987549\noAhazXUpHHJd 484894128\nQmcJhQTucPOXfDoT 668970333\nGZc 287366698\nlLdjm 568372791\nXdmwNy 8837827\nkpZkdYYkIt 5641673\nLavenderBlush 25651731\nKfiOgXrfiymHNlwphW 631546624\nMediumSpringGreen 971834130\nkpZkdYYkIt 597419097\nSaQdiFekztQtsUwB 184896040\nGFauSMUINjGUEjevjSra 861541223\nDZJOKmUl 203042358\nLYRkVV 971834130\nRXJ 924887134\nhgRRBQjaxGYjS 147587233\ncsHHEpXFgMnXOoTHyfbC 823500372\nztHdPfQSku 793015730\nGreen 930178699\nZgbY 539853645\nLNiMNsKLJRA 753726080\nEFpGNmGi 269004194\nFleGDLyjbGqGU 695456612\nEFVz 563726147\ngFPLgPIOGQFnmdBCaHbi 924887134\nkpZkdYYkIt 894744872\nOFoFNg 77904193\nCornsilk 686863218\nHcxX 580709735\nsOqtmIxOVZBajm 686863218\nidFoBWFN 195823714\nkpZkdYYkIt 910324992\nxmbAeCOZ 971834130\nkpZkdYYkIt 497333226\nLightCyan 555265813\nJGian 622546281\nZeNdtZd 749305860\npAZ 602924237\nkpZkdYYkIt 478586157\nMediumTurquoise 560964393\nkOKYHsNyrGw 793015730\nhEymujuOHtWXr 691667097\nLemonChiffon 213679133\nG 94323627\nYpfknbzknxKpXNsh 39165797\nOdJZYtbFKExzsiBKC 682616414\nA 39165797\nlLdjm 64237235\nXdmwNy 14242977\nbcaFcgCGcLcnJpW 800896695\nAntiqueWhite 573815013\nzpwDmdBViG 922378249\nUjfsfyXG 710806384\nGqnEvycfos 39165797\nKAfXwHUGfMGpTIbTx 686863218\nidFoBWFN 834547774\nXfCfpZ 304424126\nXrDOSBFkNKwceve 555476530\nSalmon 255613629\nkpZkdYYkIt 996089594\nMQUdhwm 39165797\nCHfMSjHOvjC 536757791\nlLdjm 437928441\nbW 671194642\nZRHCVBR 502958598\nLcJpaUvFKk 970332442\nlka 669500846\nGFIIF 330915985\nplLnZEJLtZZcEkDELz 202242273\nsGH 689599678\nBlueViolet 455139378\nvD 466823718\nTEBBrni 785944425\nRebeccaPurple 176839501\nBlue 349621753\nNzshwPkJyga 23919739\nOdJZYtbFKExzsiBKC 205451685\nsnURscDzJJVAEETf 962176852\nflFTojNSOldTVfDheL 753726080\nkpZkdYYkIt 285244500\najejl 77904193\nHtdHJmkSUfowIQc 768629744\nKfKIOSEKoysJcdXXyUw 976299797\nMediumBlue 608161895\nuNBWzuBqkdWArV 970332442\nzZPgCmLQzLMc 574902321\nLuACnsTBGyovjj 976299797\nMediumTurquoise 309483047\nDHJw 753726080\njwCed 958948825\nRworL 670314050\nPKEotRyUDiwklvADjHYw 851401569\nDeepSkyBlue 733911519\nDeepSkyBlue 907318070\nDarkKhaki 710567176\nyFzPnCqJZSeFGJynWI 392990647\nilSxiXcHn 793015730\nWebGray 843990770\nsJcRIOSjREycjggHn 398419310\nMuSqUMEMEAmTDbzgqHhf 608776676\nDarkKhaki 892895747\nzBeBJg 902922005\nDkruLuhswJETdxh 686784876\nBRhVZhMSjtmmQbnMi 285656245\nO 924887134\nHICdHLO 456180894\nwWzfmfcqRW 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39165797\nX 502650342\nIYTaX 950101821\ngsCURjEAltahVzqOp 539853645\nYrSgMkEyaJZT 588782926\nkYNenmCS 581895970\nX 671300194\nWqYrDWZYCuwEnnIxo 269004194\nsnURscDzJJVAEETf 792535515\nTf 887400685\nGZUUnfbQFBdyVaAxtWJ 168428755\nkpZkdYYkIt 83652009\nDarkRed 399621091\nljGz 302746366\nlka 761959175\nVIkdp 862919134\nvMBlZof 638214541\ngB 512953565\njTstNeAuHRoye 800896695\nXfCfpZ 505588821\nMediumSeaGreen 927938054\nGFauSMUINjGUEjevjSra 79442329\nik 370432371\nZeNdtZd 817823073\nWebGreen 350432580\nSlateGray 914981537\nEjTDg 456180894\nlMvMnMddofFSuTJxL 94323627\nDeepSkyBlue 150599675\nDeepSkyBlue 433941520\nbbEhwzNOkNOWZaIg 84267392\nkpZkdYYkIt 878570018\nxuQrzCcy 598959280\nyoMMHdcSLIwIlIA 592963391\nBgmCvsEKY 254352119\nkpZkdYYkIt 970559971\nQG 142447629\nSnow 54490595\nDeepSkyBlue 391774356\nuGyGFyXznvwH 426245863\nNW 782431734\nzlcfBpLDEaMAHTb 39165797\nBRhVZhMSjtmmQbnMi 406942499\nGFauSMUINjGUEjevjSra 977572107\nlLdjm 39093607\nswOYPqeKTIqfE 510099768\nRMuFytrYpTVIgyPNEs 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912258008\nrcLbFbLDedJszQcRMr 594769793\nLightYellow 765571002\noAhazXUpHHJd 66986253\nGreenYellow 287366698\nMistyRose 236218818\nRANgTZrD 970332442\nJsLlvKOVMaLimrPi 781140483\nUqoJTtrkxSMiF 275793010\nVxNBNV 94323627\nLightPink 284843579\nhwtLpVtYvSqO 710622247\nIBauKKLrqVeWMpb 472565104\nkBGbLjUIDAs 924887134\nCornflower 353673069\nXfCfpZ 506130499\nXfCfpZ 757011062\nbfFVlhNhTdDKwDpUwyP 442954987\nupntQLdHFEVYMxigs 279553977\nSaddleBrown 532791341\nsJrGCn 775394639\nSXOMuJoX 705027066\nh 691667097\nYanXIlfbAumE 400176310\nBlueViolet 394562815\nTurquoise 885265139\nYSSBfcuephkIjrAbRM 573815013\nX 117266586\nQmcJhQTucPOXfDoT 491745372\nMidnightBlue 607845160\nKhaki 89808934\nkhcIuADNKuoS 612655078\nXPhxUAarMH 312526305\nidFoBWFN 665369133\nLightSalmon 613355009\noAhazXUpHHJd 863643478\nplLnZEJLtZZcEkDELz 888067317\nTLjOZUS 39165797\nkpZkdYYkIt 37033579\nvylmvQTICQecoUE 498999893\nPeachPuff 472565104\nLightPink 419750104\nqPlF 398419310\nFleGDLyjbGqGU 403519669\nChartreuse 852691005\nHtXTEnCDqF 950101821\nkpZkdYYkIt 446367100\nGhostWhite 44509872\ne 316505824\nUQOzRkcoKTp 927938054\nYyKuSqPAKwrwE 174224966\ntNezsMl 357519346\nidFoBWFN 269609498\nqHncaViHkRGXtlruaTwj 94323627\nZeNdtZd 948896558\nDeepSkyBlue 153980116\nSeaGreen 970332442\nXfCfpZ 823144897\ncsHHEpXFgMnXOoTHyfbC 373681720\nEDeVnioZSJrmuDtfBT 65105498\nAzure 800582453\nlka 97143252\nzUOvrlm 978920691\nsJrGCn 326888110\nKhaki 474579773\nFleGDLyjbGqGU 364611021\nnHyNcczCfmDoKBdd 479500572\nGainsboro 259598564\nwilnZNbrHJOairWSHUQ 992214290\nWjEv 386526809\nupntQLdHFEVYMxigs 75930762\nyDccPqSkypY 677072016\nGsxroTWUPcNgIDycx 966583149\nTixakRteqvK 914981537\nRJ 40699609\ngB 173098811\nYnkik 976299797\nChocolate 269004194\nLightGreen 842699222\nFLIkZC 860850016\nnRjxOlAFQwpLNjE 842486260\nMidnightBlue 962796268\npoitRbxFzZFzlUgnWD 855800606\nURKAQuvwePZ 684879438\nkTK 193236478\nPeru 247769102\nhanKoXFvDVrohGqCOuVz 91519156\nFleGDLyjbGqGU 961809389\nXTmVQPkECvTeMUxQcO 275793010\nRE 555265813\nkpZkdYYkIt 891522919\nTRRsfpFDBOtHj 443271042\nSalmon 734847013\nuGyGFyXznvwH 369224173\nqBlENkGMraucHvtcB 710622247\nLightCoral 350432580\nkpZkdYYkIt 888672018\nMediumTurquoise 434200678\nIUH 180285457\nPaleTurquoise 290476334\nFloralWhite 682600839\nzSEyC 971834130\nLightSteelBlue 466823718\nGZUUnfbQFBdyVaAxtWJ 484031831\ncXqXEFqY 998353109\nMaroon 91519156\nFleGDLyjbGqGU 254541240\ncsHHEpXFgMnXOoTHyfbC 221748011\nqAeDpJyJYqx 152143990\nCHfMSjHOvjC 985097461\nkpZkdYYkIt 565380246\nnbwZTuQCAFyRGyP 954217830\nKhaki 78468851\nSalmon 455698524\nDarkGreen 39165797\nBlack 682600839\nSeashell 637534772\nDarkOliveGreen 765571002\nTRRsfpFDBOtHj 652316756\nc 641900126\nOliveDrab 555265813\nFleGDLyjbGqGU 336638244\nsZ 573815013\nuNIrHRg 708327391\nNavyBlue 342237074\nMidnightBlue 14594056\nZwoJL 677072016\nFleGDLyjbGqGU 992515310\nEFVz 788462698\nTomato 730408242\nPaleGoldenrod 573815013\nheqVOfCaGLhFlcJws 688379325\njpMOSZinLJkaRMv 94323627\nJr 190928457\nmHgKGAJkmZSfhKGSGXa 287366698\nkpZkdYYkIt 297943986\nkpZkdYYkIt 349720819\nyIJYwqNtXWSUfvgKwXV 464608200\nZeNdtZd 720149716\nwilnZNbrHJOairWSHUQ 336923021\nkzHncVzhrCW 512620483\nzauWb 793015730\nChartreuse 721100630\nutzxSkpnyfgxEGdLmFv 529463066\nLwf 342739335\nThistle 147587233\nJKYquP 94323627\nXkVHDnhrvHR 290476334\nVaOmJGLBrxoPZcTchoU 512620483\nY 393686438\nKQGnpZ 686863218\nDarkOrchid 653413588\nxOYJxcyDONHVZRe 290476334\nsnURscDzJJVAEETf 256771852\nGray 275793010\nRJ 489987387\nwbFrQxOhuigmBLhUgze 710622247\nGoldenrod 170873766\nRQsRHOZf 7796280\niLYho 266113941\nMediumTurquoise 267183455\nkpZkdYYkIt 405522681\nTRRsfpFDBOtHj 456588170\nkYNenmCS 435094031\nvylmvQTICQecoUE 517268069\nFleGDLyjbGqGU 406510690\nMidnightBlue 869705129\ncsHHEpXFgMnXOoTHyfbC 623823378\nMediumSlateBlue 598959280\nDarkSalmon 598959280\nRcCrdsrzDdnddCH 366088919\nzgKEPHJUkLqipdMld 177240661\nbOwc 284372839\nSnow 311265441\nQwrOShhgQErmzPKgfLRi 112855552\nRUsqbgbDFPk 846747065\nEFVz 380472589\nakbwrwcEAftAoyouJ 682600839\nuNIrHRg 882577514\nWjEv 916829865\nCmvvucrZtiKi 41341876\nkpZkdYYkIt 304436668\nPapayaWhip 66601424\nz 170873766\nlka 701511321\nidFoBWFN 588636938\nwFvLE 269004194\nwieoJhYDDJHte 729356609\nCHfMSjHOvjC 176866494\nDimGray 404428502\nRworL 723449094\nMgBRm 363747682\nCWNxiwjJ 573815013\ngqQWVCeCagcDniyquhnI 927938054\nkpZkdYYkIt 851758459\nBNnHrtwLkCqkfYx 281191589\nLjLsyKrBoigq 462328190\nvylmvQTICQecoUE 644088876\npAZ 648732476\nniLddLQTvGCAioM 294174483\nlm 341179298\nBlanchedAlmond 260233449\nScNMjQNTkeEEglix 971834130\nkpZkdYYkIt 859249741\nKJkwmiIiQ 322556692\nCHfMSjHOvjC 627208623\nutGkAGzTh 715232508\nfSloYqEvQTCdxUbc 111666612\nkpZkdYYkIt 861042805\nL 472565104\n" } ]
quadratum
"Se considera urmatorul caroiaj:\n1 1 1 1 1\n1 2 2 2 2 ...\n1 2 3 3 3\n1 2 3 4 4 .(...TRUNCATED)
easy
["#include <fstream>\n#include <iostream>\n\nusing namespace\t\t\tstd;\n\n#ifndef INFINT_H_\n# defin(...TRUNCATED)
["import sys\n\nclass my_number:\n\n def __init__(self, num):\n self.repr = '0' * 31\n (...TRUNCATED)
[{"input":"20\n54530969\n644485536\n119140421\n743273006\n966096572\n615556758\n67030885\n958507673\(...TRUNCATED)
cpal
"Stiind ca aveti la dispozitie F[x] cifre de x pentru toti 1 <= x <= 9 decideti daca se poate forma (...TRUNCATED)
easy
["#include <algorithm>\n#include <assert.h>\n#include <bitset>\n#include <cctype>\n#include <cmath>\(...TRUNCATED)
["import math\nimport sys\n\nINFI = (1 << 30) - 100\nINFL = (1 << 62) - 100\neps = 1e-10\npi = acos((...TRUNCATED)
[{"input":"0 0 0 0 0 0 0 0 0\n1 0 1 0 1 0 1 0 1\n2 2 2 4 6 8 2 12 256\n1 42 42 42 42 42 42 42 42\n10(...TRUNCATED)
polihroniade
"!>problema/polihroniade?poli\nDate de Intrare: Fisierul de intrare polihroniade.in va contine pe pr(...TRUNCATED)
easy
[]
[]
[{"input":"2 100\n20\n10101010101010101010\n01010101010101010101\n10101010101010101010\n010101010101(...TRUNCATED)
cmmp
"Pentru orice numar natural x definim operatia ,,cmmp\" prin care adaugam cifre la stanga lui x, la (...TRUNCATED)
easy
[]
[]
[{"input":"10\n41 67 34 0 69 24 78 58 62 64 \n","output":"10\n41 67 34 0 69 24 78 58 62 64 \n"},{"in(...TRUNCATED)
negot
"Radusqrt, sultanul indepartatului tinut iGorj, a facut o analiza amanuntita a situatiei economice d(...TRUNCATED)
easy
[]
[]
[{"input":"5 5 2\n1 4 \n2 1 2 \n0 \n0 \n1 3 \n","output":"5 5 2\n1 4 \n2 1 2 \n0 \n0 \n1 3 \n"},{"in(...TRUNCATED)
cifru
"Un criptolog amator isi propune sa construiasca o masina de cifrat care sa cripteze un text alcatui(...TRUNCATED)
easy
["#include <stdio.h>\n\n#define maxp 10\n#define mod 19997\n#define maxx 10001\n#define maxn 2010\n\(...TRUNCATED)
["import math\n\n\nclass modularOperations:\n kMod = 19997\n\n @staticmethod\n def Add(x, y(...TRUNCATED)
[{"input":"8 7\n","output":"8 7\n"},{"input":"9 8\n","output":"9 8\n"},{"input":"12 12\n","output":"(...TRUNCATED)
mediana
"Se dau doua siruri ( A si B ) sortate crescator de lungime N si M. Curios din fire, Algorel, in int(...TRUNCATED)
easy
["#include <fstream>\n#include <iostream>\nusing namespace std;\n\n#ifdef INFOARENA\n# define cout f(...TRUNCATED)
["import sys\nfrom typing import List, Dict\n\nclass Reader:\n def __init__(self, filename: str):(...TRUNCATED)
[{"input":"20\n11 8 131\n49655 51684 96916 184119 199945 287445 364179 415217 449157 455457 528851 \(...TRUNCATED)
specsort
"Se considera o permutare a multimii {1, 2, ..., N}. Pentru aceasta permutare se defineste un singur(...TRUNCATED)
easy
["\n\n#include <cstdio>\n#include <fstream>\n#include <iostream>\n#include <vector>\n\nusing namespa(...TRUNCATED)
["import math\nfrom typing import List, Tuple\n\nIN = \"specsort.in\"\nOUT = \"specsort.out\"\nMAX =(...TRUNCATED)
[{"input":"10\n8 9 5 10 3 6 1 7 4 2 \n","output":"10\n8 9 5 10 3 6 1 7 4 2 \n"},{"input":"10000\n666(...TRUNCATED)
fbsearch
"Pentru aceasta problema va trebui sa implementati functia de cautare de la Facebook pentru un utili(...TRUNCATED)
easy
["#include <algorithm>\n#include <cctype>\n#include <cstdio>\n#include <cstring>\n#define MAXL 32\n#(...TRUNCATED)
["# No include necessary\nclass trie:\n NMAX = 100010\n LMAX = 33\n ALF = 27\n\n def __i(...TRUNCATED)
[{"input":"3\n9 12\nAndrei_Popescu\nGiulia_Mateescu\nAndrei_Anton\nTeo\nTeodor\nMa\nMarius\nMarte\nM(...TRUNCATED)

RoCode: A Dataset for Measuring Code Intelligence from Problem Definitions in Romanian

Recently, large language models (LLMs) have become increasingly powerful and have become capable of solving a plethora of tasks through proper instructions in natural language. However, the vast majority of testing suites assume that the instructions are written in English, the de facto prompting language. Code intelligence and problem solving still remain a difficult task, even for the most advanced LLMs. Currently, there are no datasets to measure the generalization power for code-generation models in a language other than English. In this work, we present RoCode, a competitive programming dataset, consisting of 2,642 problems written in Romanian, 11k solutions in C, C++ and Python and comprehensive testing suites for each problem. The purpose of RoCode is to provide a benchmark for evaluating the code intelligence of language models trained on Romanian / multilingual text as well as a fine-tuning set for pretrained Romanian models. Through our results and review of related works, we argue for the need to develop code models for languages other than English.

Dataset Details

Dataset Description

  • Curated by: Adrian Cosma, Bogdan Iordache, Paolo Rosso
  • Language(s) (NLP): Romanian, C++, Python

Dataset Sources

Uses

Fine-tuning and evaluation of Large-Language Models that solve programming puzzles from Romanian prompts.

Citation

@misc{cosma2024rocode,
      title={RoCode: A Dataset for Measuring Code Intelligence from Problem Definitions in Romanian}, 
      author={Adrian Cosma and Bogdan Iordache and Paolo Rosso},
      year={2024},
      eprint={2402.13222},
      archivePrefix={arXiv},
      primaryClass={cs.CL}
}

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For any information contact Adrian Cosma (cosma.i.adrian@gmail.com)

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