#include "bits/stdc++.h" using namespace std; #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template static void amin(T &x, U y) { if (y < x) x = y; } template static void amax(T &x, U y) { if (x < y) x = y; } using Val = ll; const Val infVal = INFL; struct Sum { int num; Val minVal; Sum() : num(0), minVal(infVal) {} Sum(const Val &val, int pos) : num(val == infVal ? 0 : 1), minVal(val) { } Sum &operator+=(const Sum &that) { num += that.num; amin(minVal, that.minVal); return *this; } Sum operator+(const Sum &that) const { return Sum(*this) += that; } }; struct Add { ll sub; Add() : sub(0) { } Add &operator+=(const Add &that) { sub += that.sub; return *this; } void addToVal(Val &val, int pos) const { if (val != infVal) val -= sub; } void addToSum(Sum &sum, int left, int right) const { if (sum.minVal != infVal) sum.minVal -= sub; } }; struct SegmentTree { vector leafs; vector nodes; vector add; vector leftpos, rightpos; int n, n2; void init(int n_, const Val &v = Val()) { init(vector(n_, v)); } void init(const vector &u) { n = 1; while (n < (int)u.size()) n *= 2; n2 = (n - 1) / 2 + 1; leafs = u; leafs.resize(n, Val()); nodes.resize(n); for (int i = n - 1; i >= n2; -- i) nodes[i] = Sum(leafs[i * 2 - n], i * 2 - n) + Sum(leafs[i * 2 + 1 - n], i * 2 + 1 - n); for (int i = n2 - 1; i > 0; -- i) nodes[i] = nodes[i * 2] + nodes[i * 2 + 1]; add.assign(n, Add()); leftpos.resize(n); rightpos.resize(n); for (int i = n - 1; i >= n2; -- i) { leftpos[i] = i * 2 - n; rightpos[i] = (i * 2 + 1 - n) + 1; } for (int i = n2 - 1; i > 0; -- i) { leftpos[i] = leftpos[i * 2]; rightpos[i] = rightpos[i * 2 + 1]; } } Val get(int i) { int indices[128]; int k = getIndices(indices, i, i + 1); propagateRange(indices, k); return leafs[i]; } Sum getRangeCommutative(int i, int j) { int indices[128]; int k = getIndices(indices, i, j); propagateRange(indices, k); Sum res = Sum(); for (int l = i + n, r = j + n; l < r; l >>= 1, r >>= 1) { if (l & 1) res += sum(l ++); if (r & 1) res += sum(-- r); } return res; } void set(int i, const Val &x) { int indices[128]; int k = getIndices(indices, i, i + 1); propagateRange(indices, k); leafs[i] = x; mergeRange(indices, k); } void addToRange(int i, int j, const Add &x) { if (i >= j) return; int indices[128]; int k = getIndices(indices, i, j); propagateRange(indices, k); int l = i + n, r = j + n; if (l & 1) { int p = (l ++) - n; x.addToVal(leafs[p], p); } if (r & 1) { int p = (-- r) - n; x.addToVal(leafs[p], p); } for (l >>= 1, r >>= 1; l < r; l >>= 1, r >>= 1) { if (l & 1) add[l ++] += x; if (r & 1) add[-- r] += x; } mergeRange(indices, k); } private: int getIndices(int indices[], int i, int j) const { int k = 0, l, r; if (i >= j) return 0; for (l = (n + i) >> 1, r = (n + j - 1) >> 1; l != r; l >>= 1, r >>= 1) { indices[k ++] = l; indices[k ++] = r; } for (; l; l >>= 1) indices[k ++] = l; return k; } void propagateRange(int indices[], int k) { for (int i = k - 1; i >= 0; -- i) propagate(indices[i]); } void mergeRange(int indices[], int k) { for (int i = 0; i < k; ++ i) merge(indices[i]); } inline void propagate(int i) { if (i >= n) return; add[i].addToSum(nodes[i], leftpos[i], rightpos[i]); if (i * 2 < n) { add[i * 2] += add[i]; add[i * 2 + 1] += add[i]; } else { add[i].addToVal(leafs[i * 2 - n], i * 2 - n); add[i].addToVal(leafs[i * 2 + 1 - n], i * 2 + 1 - n); } add[i] = Add(); } inline void merge(int i) { if (i >= n) return; nodes[i] = sum(i * 2) + sum(i * 2 + 1); } inline Sum sum(int i) { propagate(i); return i < n ? nodes[i] : Sum(leafs[i - n], i - n); } public: void searchAndSetInf(int i, int j, vector> &out) { searchAndSetInfAllRec(1, i, j, out); } private: void searchAndSetInfAllRec(int i, int l, int r, vector> &out) { propagate(i); if (sum(i).minVal > 0) return; if (i >= n) { if (l <= i - n && i - n < r) { out.emplace_back(i - n, leafs[i - n]); leafs[i - n] = infVal; } return; } amax(l, leftpos[i]); amin(r, rightpos[i]); if (l >= r) return; searchAndSetInfAllRec(i * 2, l, r, out); searchAndSetInfAllRec(i * 2 + 1, l, r, out); merge(i); } }; int main() { int N; int W; long long H; while (~scanf("%d%d%lld", &N, &W, &H)) { SegmentTree segt; segt.init(W, Val(H)); vector> tmp; array score = {0, 0}; rep(i, N) { int a; long long b; int x; scanf("%d%lld%d", &a, &b, &x), -- x; Add add; add.sub = b; segt.addToRange(x, x + a, add); tmp.clear(); segt.searchAndSetInf(x, x + a, tmp); score[i % 2] += (int)tmp.size(); } puts(score[0] > score[1] ? "A" : score[0] < score[1] ? "B" : "DRAW"); } return 0; }