127 lines
2.7 KiB
C++
127 lines
2.7 KiB
C++
#include<cstdio>
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#include<cstring>
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#include<iostream>
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#include<vector>
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#include<queue>
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#include<algorithm>
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#define LL __int64
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const int N = 10005;
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using namespace std;
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int a[N], n, k, s, t;
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int Ans()
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{
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int i;
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for( i = 1; i <= k; i ++ )
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if( a[i] < 0 )
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return 0;
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for( i = 1; i < k; i ++ )
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{
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a[i] -= a[i+1];
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if( a[i] )
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{
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n --;
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t -= a[i] * i;
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}
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}
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s = a[k];
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a[k] = 0;
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for( i = 1; i < k; i ++ )
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if( a[i] < 0 )
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return 0;
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if( n < 0 || s < n)
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return 0;
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if( n == 0 )
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{
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if( t == 0 && s == 0 )
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return 1;
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else
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return 0;
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}
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if( n == 1 )
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{
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if( t%s == 0 && t/s >= k )
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{
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a[t/s] = s;
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return 1;
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}
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else
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return 0;
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}
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int ans(0), j, tt, mm = ( n*n-n ) / 2;
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for( i = k; i*s <= t-mm; i ++ )
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{
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tt = t-mm - i*s;
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if( tt == 0 )
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{
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for( j = 1; j < n; j ++ )
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a[k+j] = 1;
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a[k] = s-n+1;
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ans ++;
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}
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else if( tt > 1 && n > 2 )
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return 2;
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else if( tt > 1 && n == 2 )
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{
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tt += mm;
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for( j = 1; j < s; j ++ )
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{
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if( j > tt )
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break;
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else if( ans > 1 )
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return 2;
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if( tt%j == 0 )
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{
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a[ tt/j + i ] = j;
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a[i] = s-j;
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ans ++;
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}
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}
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}
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else if( s > n )
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return 2;
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else
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{
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for( j = 1; j < n-1; j ++ )
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a[k+j] = 1;
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a[k+n] = 1;
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a[k] = s-n+1;
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ans ++;
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}
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if( ans > 1 )
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return 2;
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}
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return ans;
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}
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int main()
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{
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int ca, cs, i, pre, now;
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scanf( "%d", &ca );
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for( cs = 1; cs <= ca; cs ++ )
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{
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memset( a, 0, sizeof(a) );
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scanf( "%d%d", &n, &k );
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scanf( "%d", &t );
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pre = t;
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for( i = 1; i <= k; i ++ )
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{
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scanf( "%d", &now );
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a[i] = pre - now;
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pre = now;
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}
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printf( "Case #%d:\n", cs );
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now = Ans();
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if( now < 1 )
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printf( "No Solution\n" );
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else if( now > 1 )
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printf( "Multiple Solutions\n" );
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else
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{
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printf( "Unique Solution\n" );
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for( i = 1; i < N; i ++ )
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if( a[i] )
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printf( "%d %d\n", i, a[i] );
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}
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}
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return 0;
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}
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