#include <iostream>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#include <string>
using namespace std;
struct Node
{
int m_iNodeID;
int m_iOriginalPartyID;
int m_iParentNodeID; // for disjoint set forest
int m_iRank;
void MakeSet(int iNodeID)
{
m_iParentNodeID = iNodeID;
m_iRank = 0;
}
void Init(int iNodeID, int iInternalPartyID)
{
m_iNodeID = iNodeID;
m_iOriginalPartyID = iInternalPartyID;
MakeSet(iNodeID);
}
};
struct Party
{
int m_iIslandCnt; // number of "so to say - disconnected" components
int m_iSampleNode;
unordered_set<int> m_usAnotherPartyNodes;
void Init()
{
m_usAnotherPartyNodes.clear();
m_iIslandCnt = 0;
}
};
static int iNodes, iEdges, iParties, iDummy, iFirstFreePartyInternalID;
static vector<int> v;
static vector<int> vSingularParties;
static unordered_set<int> usDisconnectedParties;
static unordered_map<int, int> umPartyExt2Int;
static vector<Party> vParties;
static vector<Node> vNodes;
static int GetPartyInternalID(int iPartyExternal)
{
if (umPartyExt2Int.count(iPartyExternal) != 0)
{
return umPartyExt2Int[iPartyExternal];
}
int iInternalID = iFirstFreePartyInternalID++;
umPartyExt2Int[iPartyExternal] = iInternalID;
Party party;
vParties.push_back(party);
vParties[iInternalID].Init();
return iInternalID;
}
static int FindSet(int iNodeID)
{
v.clear();
int x = iNodeID;
while (x != vNodes[x].m_iParentNodeID)
{
v.push_back(x);
x = vNodes[x].m_iParentNodeID;
}
for (int i : v)
{
vNodes[i].m_iParentNodeID = x;
}
return x;
}
static void Link(int iNode0, int iNode1)
{
if (vNodes[iNode0].m_iRank > vNodes[iNode1].m_iRank)
{
vNodes[iNode1].m_iParentNodeID = iNode0;
}
else
{
vNodes[iNode0].m_iParentNodeID = iNode1;
if (vNodes[iNode0].m_iRank == vNodes[iNode1].m_iRank)
{
vNodes[iNode1].m_iRank++;
}
}
}
static bool Union(int iNode0, int iNode1)
{
int iParent0 = FindSet(iNode0);
int iParent1 = FindSet(iNode1);
if (iParent0 == iParent1)
return false;
Link(iParent0, iParent1);
return true;
}
static void JoinSamePartyNodesOnInput(int iNode0, int iNode1)
{
if (Union(iNode0, iNode1))
{
int iParty = vNodes[iNode0].m_iOriginalPartyID;
vParties[iParty].m_iIslandCnt--;
}
}
static void ProcessEdgeOnInput(int iNode0, int iNode1)
{
int iParty0 = vNodes[iNode0].m_iOriginalPartyID;
int iParty1 = vNodes[iNode1].m_iOriginalPartyID;
if (iParty0 == iParty1)
{
JoinSamePartyNodesOnInput(iNode0, iNode1);
return;
}
vParties[iParty0].m_usAnotherPartyNodes.insert(iNode1);
vParties[iParty1].m_usAnotherPartyNodes.insert(iNode0);
}
static void ReadData()
{
int iPartyExternal, x, y;
iFirstFreePartyInternalID = 0;
umPartyExt2Int.clear();
vParties.clear();
vNodes.clear();
cin >> iNodes >> iEdges >> iDummy;
vNodes.resize(iNodes);
for (int i = 0; i < iNodes; ++i)
{
cin >> iPartyExternal;
int iInternalPartyID = GetPartyInternalID(iPartyExternal);
vNodes[i].Init(i, iInternalPartyID);
vParties[iInternalPartyID].m_iIslandCnt++;
vParties[iInternalPartyID].m_iSampleNode = i;
}
iParties = iFirstFreePartyInternalID;
for (int i = 0; i < iEdges; ++i)
{
cin >> x >> y;
if (x == y)
continue;
ProcessEdgeOnInput(x - 1, y - 1);
}
}
static void CategorizeParties()
{
vSingularParties.clear();
usDisconnectedParties.clear();
for (int i = 0; i < iParties; ++i)
{
Party & party = vParties[i];
if (party.m_iIslandCnt == 1)
{
vSingularParties.push_back(i);
}
else
{
usDisconnectedParties.insert(i);
}
}
}
static inline void ConnectAnotherNodeToSingularParty(int iSingularPartyNode, int iOtherNode)
{
if (!Union(iSingularPartyNode, iOtherNode))
return;
int iOtherNodeParty = vNodes[iOtherNode].m_iOriginalPartyID;
if (usDisconnectedParties.count(iOtherNodeParty) == 0)
return;
vParties[iOtherNodeParty].m_iIslandCnt--;
if (vParties[iOtherNodeParty].m_iIslandCnt > 0)
return;
vSingularParties.push_back(iOtherNodeParty);
usDisconnectedParties.erase(iOtherNodeParty);
}
static void ProcessSingularParty(int iSingularParty)
{
int iSingularPartyNode = vParties[iSingularParty].m_iSampleNode;
for (int iNode : vParties[iSingularParty].m_usAnotherPartyNodes)
{
ConnectAnotherNodeToSingularParty(iSingularPartyNode, iNode);
}
}
static bool DoTestCase()
{
ReadData();
CategorizeParties();
if (usDisconnectedParties.size() == 0)
return true;
if (vSingularParties.size() == 0)
return false;
int i = 0; // this separation is to remind, that we could append to vSingularParties inside the below loop
for (; i < static_cast<int>(vSingularParties.size()); ++i)
{
ProcessSingularParty(vSingularParties[i]);
}
return usDisconnectedParties.size() == 0;
}
int main()
{
int t;
// freopen("sample_input.txt", "r", stdin);
// freopen("sample_output.txt", "w", stdout);
cin >> t;
for (int i = 1;; ++i)
{
bool fResult = DoTestCase();
string sResult = fResult ? "TAK" : "NIE";
cout << sResult;
if (i == t)
break;
cout << endl;
}
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 | #include <iostream> #include <unordered_map> #include <unordered_set> #include <vector> #include <string> using namespace std; struct Node { int m_iNodeID; int m_iOriginalPartyID; int m_iParentNodeID; // for disjoint set forest int m_iRank; void MakeSet(int iNodeID) { m_iParentNodeID = iNodeID; m_iRank = 0; } void Init(int iNodeID, int iInternalPartyID) { m_iNodeID = iNodeID; m_iOriginalPartyID = iInternalPartyID; MakeSet(iNodeID); } }; struct Party { int m_iIslandCnt; // number of "so to say - disconnected" components int m_iSampleNode; unordered_set<int> m_usAnotherPartyNodes; void Init() { m_usAnotherPartyNodes.clear(); m_iIslandCnt = 0; } }; static int iNodes, iEdges, iParties, iDummy, iFirstFreePartyInternalID; static vector<int> v; static vector<int> vSingularParties; static unordered_set<int> usDisconnectedParties; static unordered_map<int, int> umPartyExt2Int; static vector<Party> vParties; static vector<Node> vNodes; static int GetPartyInternalID(int iPartyExternal) { if (umPartyExt2Int.count(iPartyExternal) != 0) { return umPartyExt2Int[iPartyExternal]; } int iInternalID = iFirstFreePartyInternalID++; umPartyExt2Int[iPartyExternal] = iInternalID; Party party; vParties.push_back(party); vParties[iInternalID].Init(); return iInternalID; } static int FindSet(int iNodeID) { v.clear(); int x = iNodeID; while (x != vNodes[x].m_iParentNodeID) { v.push_back(x); x = vNodes[x].m_iParentNodeID; } for (int i : v) { vNodes[i].m_iParentNodeID = x; } return x; } static void Link(int iNode0, int iNode1) { if (vNodes[iNode0].m_iRank > vNodes[iNode1].m_iRank) { vNodes[iNode1].m_iParentNodeID = iNode0; } else { vNodes[iNode0].m_iParentNodeID = iNode1; if (vNodes[iNode0].m_iRank == vNodes[iNode1].m_iRank) { vNodes[iNode1].m_iRank++; } } } static bool Union(int iNode0, int iNode1) { int iParent0 = FindSet(iNode0); int iParent1 = FindSet(iNode1); if (iParent0 == iParent1) return false; Link(iParent0, iParent1); return true; } static void JoinSamePartyNodesOnInput(int iNode0, int iNode1) { if (Union(iNode0, iNode1)) { int iParty = vNodes[iNode0].m_iOriginalPartyID; vParties[iParty].m_iIslandCnt--; } } static void ProcessEdgeOnInput(int iNode0, int iNode1) { int iParty0 = vNodes[iNode0].m_iOriginalPartyID; int iParty1 = vNodes[iNode1].m_iOriginalPartyID; if (iParty0 == iParty1) { JoinSamePartyNodesOnInput(iNode0, iNode1); return; } vParties[iParty0].m_usAnotherPartyNodes.insert(iNode1); vParties[iParty1].m_usAnotherPartyNodes.insert(iNode0); } static void ReadData() { int iPartyExternal, x, y; iFirstFreePartyInternalID = 0; umPartyExt2Int.clear(); vParties.clear(); vNodes.clear(); cin >> iNodes >> iEdges >> iDummy; vNodes.resize(iNodes); for (int i = 0; i < iNodes; ++i) { cin >> iPartyExternal; int iInternalPartyID = GetPartyInternalID(iPartyExternal); vNodes[i].Init(i, iInternalPartyID); vParties[iInternalPartyID].m_iIslandCnt++; vParties[iInternalPartyID].m_iSampleNode = i; } iParties = iFirstFreePartyInternalID; for (int i = 0; i < iEdges; ++i) { cin >> x >> y; if (x == y) continue; ProcessEdgeOnInput(x - 1, y - 1); } } static void CategorizeParties() { vSingularParties.clear(); usDisconnectedParties.clear(); for (int i = 0; i < iParties; ++i) { Party & party = vParties[i]; if (party.m_iIslandCnt == 1) { vSingularParties.push_back(i); } else { usDisconnectedParties.insert(i); } } } static inline void ConnectAnotherNodeToSingularParty(int iSingularPartyNode, int iOtherNode) { if (!Union(iSingularPartyNode, iOtherNode)) return; int iOtherNodeParty = vNodes[iOtherNode].m_iOriginalPartyID; if (usDisconnectedParties.count(iOtherNodeParty) == 0) return; vParties[iOtherNodeParty].m_iIslandCnt--; if (vParties[iOtherNodeParty].m_iIslandCnt > 0) return; vSingularParties.push_back(iOtherNodeParty); usDisconnectedParties.erase(iOtherNodeParty); } static void ProcessSingularParty(int iSingularParty) { int iSingularPartyNode = vParties[iSingularParty].m_iSampleNode; for (int iNode : vParties[iSingularParty].m_usAnotherPartyNodes) { ConnectAnotherNodeToSingularParty(iSingularPartyNode, iNode); } } static bool DoTestCase() { ReadData(); CategorizeParties(); if (usDisconnectedParties.size() == 0) return true; if (vSingularParties.size() == 0) return false; int i = 0; // this separation is to remind, that we could append to vSingularParties inside the below loop for (; i < static_cast<int>(vSingularParties.size()); ++i) { ProcessSingularParty(vSingularParties[i]); } return usDisconnectedParties.size() == 0; } int main() { int t; // freopen("sample_input.txt", "r", stdin); // freopen("sample_output.txt", "w", stdout); cin >> t; for (int i = 1;; ++i) { bool fResult = DoTestCase(); string sResult = fResult ? "TAK" : "NIE"; cout << sResult; if (i == t) break; cout << endl; } } |
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