#include <bits/stdc++.h>
#define FOR(i,b,e) for(int i=(b); i <= (e); ++i)
#define FORD(i,b,e) for(int i=(b); i >= (e); --i)
#define SIZE(c) (int) (c).size()
#define FORE(i,c) FOR(i,0,SIZE(c)-1)
#define FORDE(i,c) FORD(i,SIZE(c)-1,0)
#define pb push_back
#define mp make_pair
#define st first
#define nd second
using namespace std;
typedef long long ll;
typedef pair <int,int> pii;
typedef pair <ll,ll> pll;
typedef vector <int> VI;
typedef vector <bool> VB;
typedef vector <pii> VP;
typedef vector <ll> VL;
typedef vector <pll> VPL;
typedef vector <VI> VVI;
typedef vector <VL> VVL;
typedef vector <VB> VVB;
typedef vector <VP> VVP;
/*************************************************************************/
bool isSegmentHilbert(int x, int y, int n) {
if (n == 1) {
return (x % 2 || y % 2) && (x != 1 || y != 0);
}
int N = (1 << n);
if (x > N - 1) {
x = 2 * N - 2 - x;
}
if (x == N - 1) {
return y == N;
}
if (y == N - 1) {
return x == 0;
}
if (y < N - 1) {
swap(x, y);
x = N - 2 - x;
} else {
y -= N;
}
return isSegmentHilbert(x, y, n-1);
}
bool isSegmentBoard(int x, int y, int n) {
int N = 1 << (n + 1);
return x == 0 || x == N || y == 0 || y == N || isSegmentHilbert(x-1, y-1, n);
}
/*************************************************************************/
void simulate(int &x, int &y, int &dx, int &dy, int n) {
int N = 1 << (n + 1);
x += dx;
y += dy;
if (isSegmentBoard(x, y, n)) {
if (x == 0 || x == N) {
dx *= -1;
} else if (y == 0 || y == N) {
dy *= -1;
} else if (x % 2) {
dx *= -1;
} else {
dy *= -1;
}
}
}
/*************************************************************************/
int main() {
ios_base::sync_with_stdio(0);
int n, z;
cin >> n >> z;
int x = 1, y = 0;
int dx = 1, dy = 1;
int time = 0;
while (z--) {
int t;
cin >> t;
while (time < t) {
simulate(x, y, dx, dy, n);
time++;
}
cout << x << ' ' << y << endl;
}
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 | #include <bits/stdc++.h> #define FOR(i,b,e) for(int i=(b); i <= (e); ++i) #define FORD(i,b,e) for(int i=(b); i >= (e); --i) #define SIZE(c) (int) (c).size() #define FORE(i,c) FOR(i,0,SIZE(c)-1) #define FORDE(i,c) FORD(i,SIZE(c)-1,0) #define pb push_back #define mp make_pair #define st first #define nd second using namespace std; typedef long long ll; typedef pair <int,int> pii; typedef pair <ll,ll> pll; typedef vector <int> VI; typedef vector <bool> VB; typedef vector <pii> VP; typedef vector <ll> VL; typedef vector <pll> VPL; typedef vector <VI> VVI; typedef vector <VL> VVL; typedef vector <VB> VVB; typedef vector <VP> VVP; /*************************************************************************/ bool isSegmentHilbert(int x, int y, int n) { if (n == 1) { return (x % 2 || y % 2) && (x != 1 || y != 0); } int N = (1 << n); if (x > N - 1) { x = 2 * N - 2 - x; } if (x == N - 1) { return y == N; } if (y == N - 1) { return x == 0; } if (y < N - 1) { swap(x, y); x = N - 2 - x; } else { y -= N; } return isSegmentHilbert(x, y, n-1); } bool isSegmentBoard(int x, int y, int n) { int N = 1 << (n + 1); return x == 0 || x == N || y == 0 || y == N || isSegmentHilbert(x-1, y-1, n); } /*************************************************************************/ void simulate(int &x, int &y, int &dx, int &dy, int n) { int N = 1 << (n + 1); x += dx; y += dy; if (isSegmentBoard(x, y, n)) { if (x == 0 || x == N) { dx *= -1; } else if (y == 0 || y == N) { dy *= -1; } else if (x % 2) { dx *= -1; } else { dy *= -1; } } } /*************************************************************************/ int main() { ios_base::sync_with_stdio(0); int n, z; cin >> n >> z; int x = 1, y = 0; int dx = 1, dy = 1; int time = 0; while (z--) { int t; cin >> t; while (time < t) { simulate(x, y, dx, dy, n); time++; } cout << x << ' ' << y << endl; } return 0; } /*************************************************************************/ |
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