#include <bits/stdc++.h>
using namespace std;
const int inf = 1e9+7;
namespace Flow {
struct edge {
int to, rev, cap, flow;
};
const int N = 1005;
int n, dst[N], pos[N];
vector<edge> g[N];
void add(int a, int b, int c) {
g[a].push_back({b, (int)g[b].size(), c, 0});
g[b].push_back({a, (int)g[a].size() - 1, 0, 0});
}
int dfs(int f, int s, int cost = inf) {
if (f == s) return cost;
if (!cost) return 0;
for (int &i = pos[f]; i < (int)g[f].size(); ++i) {
auto &item = g[f][i];
if (dst[item.to] == dst[f] + 1) {
int val = dfs(item.to, s, min(cost, item.cap - item.flow));
if (val > 0) {
item.flow += val;
g[item.to][item.rev].flow -= val;
return val;
}
}
}
return 0;
}
bool bfs(int f, int s) {
fill(dst, dst + n, inf);
dst[f] = 0;
queue<int> q;
q.push(f);
while (!q.empty()) {
int v = q.front();
q.pop();
for (auto& item : g[v]) {
if (dst[item.to] > dst[v] + 1 && item.cap > item.flow) {
dst[item.to] = dst[v] + 1;
q.push(item.to);
}
}
}
return dst[s] < inf;
}
int maxFlow(int f, int s) {
int result = 0, val;
while (true) {
if (!bfs(f, s))
break;
fill(pos, pos + n, 0);
while ((val = dfs(f, s)) > 0)
result += val;
}
return result;
}
};
const int N = 105;
const int M = 1000005;
int n, m, l[N], r[N], c[N];
int bal[M], st[M], ed[M];
void solve() {
cin >> n >> m;
int sum = 0;
for (int i = 0; i < n; ++i) {
cin >> l[i] >> r[i] >> c[i];
sum += c[i];
--r[i];
st[l[i]] = 1;
ed[r[i]] = 1;
}
vector<pair<int,int>> seg;
for (int i = 0; i <= 1000001; ++i) {
int j = i;
while (j <= 1000001 && !(st[j+1] || ed[j])) ++j;
seg.emplace_back(i, j);
i = j;
}
Flow::n = 2 + n + (int)seg.size();
for (int i = 0; i < n; ++i) {
Flow::add(0, i + 1, c[i]);
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < (int)seg.size(); ++j) {
auto item = seg[j];
if (l[i] <= item.first && r[i] >= item.second) {
Flow::add(i + 1, j + n + 1, (item.second-item.first+1));
}
}
}
for (int j = 0; j < (int)seg.size(); ++j) {
auto item = seg[j];
Flow::add(j + n + 1, Flow::n - 1, (item.second-item.first+1)*m);
}
int val = Flow::maxFlow(0, Flow::n - 1);
if (val == sum) {
cout << "TAK\n";
} else {
cout << "NIE\n";
}
}
int main() {
ios::sync_with_stdio(false);
int z = 1;
while (z--) solve();
return 0;
}
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 | #include <bits/stdc++.h> using namespace std; const int inf = 1e9+7; namespace Flow { struct edge { int to, rev, cap, flow; }; const int N = 1005; int n, dst[N], pos[N]; vector<edge> g[N]; void add(int a, int b, int c) { g[a].push_back({b, (int)g[b].size(), c, 0}); g[b].push_back({a, (int)g[a].size() - 1, 0, 0}); } int dfs(int f, int s, int cost = inf) { if (f == s) return cost; if (!cost) return 0; for (int &i = pos[f]; i < (int)g[f].size(); ++i) { auto &item = g[f][i]; if (dst[item.to] == dst[f] + 1) { int val = dfs(item.to, s, min(cost, item.cap - item.flow)); if (val > 0) { item.flow += val; g[item.to][item.rev].flow -= val; return val; } } } return 0; } bool bfs(int f, int s) { fill(dst, dst + n, inf); dst[f] = 0; queue<int> q; q.push(f); while (!q.empty()) { int v = q.front(); q.pop(); for (auto& item : g[v]) { if (dst[item.to] > dst[v] + 1 && item.cap > item.flow) { dst[item.to] = dst[v] + 1; q.push(item.to); } } } return dst[s] < inf; } int maxFlow(int f, int s) { int result = 0, val; while (true) { if (!bfs(f, s)) break; fill(pos, pos + n, 0); while ((val = dfs(f, s)) > 0) result += val; } return result; } }; const int N = 105; const int M = 1000005; int n, m, l[N], r[N], c[N]; int bal[M], st[M], ed[M]; void solve() { cin >> n >> m; int sum = 0; for (int i = 0; i < n; ++i) { cin >> l[i] >> r[i] >> c[i]; sum += c[i]; --r[i]; st[l[i]] = 1; ed[r[i]] = 1; } vector<pair<int,int>> seg; for (int i = 0; i <= 1000001; ++i) { int j = i; while (j <= 1000001 && !(st[j+1] || ed[j])) ++j; seg.emplace_back(i, j); i = j; } Flow::n = 2 + n + (int)seg.size(); for (int i = 0; i < n; ++i) { Flow::add(0, i + 1, c[i]); } for (int i = 0; i < n; ++i) { for (int j = 0; j < (int)seg.size(); ++j) { auto item = seg[j]; if (l[i] <= item.first && r[i] >= item.second) { Flow::add(i + 1, j + n + 1, (item.second-item.first+1)); } } } for (int j = 0; j < (int)seg.size(); ++j) { auto item = seg[j]; Flow::add(j + n + 1, Flow::n - 1, (item.second-item.first+1)*m); } int val = Flow::maxFlow(0, Flow::n - 1); if (val == sum) { cout << "TAK\n"; } else { cout << "NIE\n"; } } int main() { ios::sync_with_stdio(false); int z = 1; while (z--) solve(); return 0; } |
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