I am having difficulty solving a problem on a different coding website.↵
The problem goes like this:↵
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The m × n rectangular grid is a graph whose vertices correspond to the points in the plane with x-coordinates being integers in the range 0, … , n-1 and y-coordinates being integers in the range 0, … , m-1, and two vertices are joined by an edge whenever the corresponding points are at unit distance apart. For example, a 4 × 6 rectangular grid is shown in Figure 1. The grid has n vertices appearing in each of m rows and m vertices in each of n columns. The vertex in row i and column j is denoted by (i, j), where 0 ≤ i ≤ m — 1 and 0 ≤ j ≤ n — 1.↵
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If we add an edge joining two vertices (i, 0) and (i, n-1) of the m × n rectangular grid for every row i ∈ {0, … , m-1} and moreover, add an edge between two vertices (0, j) and (m-1, j) for every column j ∈ {0, … , n-1}, then each row forms a cycle of length n and each column forms a cycle of length m, as illustrated in Figure 2. The resulting graph is often called an m × n toroidal grid, because it can be drawn on a torus without edge crossings.↵
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Given an m × n toroidal grid, you are to write a program to find a cycle that visits every vertex exactly once. Here, the required cycle may be represented as a sequence, (v1, v2, … , vmn), of mn distinct vertices of the graph such that vk and vk+1 are adjacent for all k ∈ {1, … , mn-1} and moreover, vmn and v1 are adjacent.↵
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I got a compile error↵
my code:↵
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#include ><stdio.h<>↵
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int main() {↵
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int t;↵
scanf("%d", &t);↵
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while(t--){↵
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int r, c;↵
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scanf("%d %d", &r, &c);↵
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printf("1\n");↵
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for(int i=0; i=1; j--){↵
printf("(%d,%d)\n", i, j);↵
}↵
}else{↵
for(int j=1; j=1; i--){↵
printf("(%d,0)\n", i, 0);↵
}↵
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}↵
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}↵
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What was wrong?
The problem goes like this:↵
↵
↵
↵
The m × n rectangular grid is a graph whose vertices correspond to the points in the plane with x-coordinates being integers in the range 0, … , n-1 and y-coordinates being integers in the range 0, … , m-1, and two vertices are joined by an edge whenever the corresponding points are at unit distance apart. For example, a 4 × 6 rectangular grid is shown in Figure 1. The grid has n vertices appearing in each of m rows and m vertices in each of n columns. The vertex in row i and column j is denoted by (i, j), where 0 ≤ i ≤ m — 1 and 0 ≤ j ≤ n — 1.↵
↵
If we add an edge joining two vertices (i, 0) and (i, n-1) of the m × n rectangular grid for every row i ∈ {0, … , m-1} and moreover, add an edge between two vertices (0, j) and (m-1, j) for every column j ∈ {0, … , n-1}, then each row forms a cycle of length n and each column forms a cycle of length m, as illustrated in Figure 2. The resulting graph is often called an m × n toroidal grid, because it can be drawn on a torus without edge crossings.↵
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Given an m × n toroidal grid, you are to write a program to find a cycle that visits every vertex exactly once. Here, the required cycle may be represented as a sequence, (v1, v2, … , vmn), of mn distinct vertices of the graph such that vk and vk+1 are adjacent for all k ∈ {1, … , mn-1} and moreover, vmn and v1 are adjacent.↵
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I got a compile error↵
my code:↵
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#include
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int main() {↵
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int t;↵
scanf("%d", &t);↵
↵
while(t--){↵
↵
int r, c;↵
↵
scanf("%d %d", &r, &c);↵
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printf("1\n");↵
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for(int i=0; i=1; j--){↵
printf("(%d,%d)\n", i, j);↵
}↵
}else{↵
for(int j=1; j=1; i--){↵
printf("(%d,0)\n", i, 0);↵
}↵
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}↵
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}↵
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What was wrong?