#pragma GCC optimize ("Ofast") #include using namespace std; inline int my_getchar(){ static char buf[1048576]; static int s = 1048576; static int e = 1048576; if(s == e && e == 1048576){ e = fread(buf, 1, 1048576, stdin); s = 0; } if(s == e){ return EOF; } return buf[s++]; } inline void rd(int &x){ int k; int m=0; x=0; for(;;){ k = my_getchar(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } inline int rd_int(void){ int x; rd(x); return x; } struct MY_WRITER{ char buf[1048576]; int s; int e; MY_WRITER(){ s = 0; e = 1048576; } ~MY_WRITER(){ if(s){ fwrite(buf, 1, s, stdout); } } } ; MY_WRITER MY_WRITER_VAR; void my_putchar(int a){ if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){ fwrite(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout); MY_WRITER_VAR.s = 0; } MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a; } inline void wt_L(char a){ my_putchar(a); } inline void wt_L(int x){ int s=0; int m=0; char f[10]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ my_putchar('-'); } while(s--){ my_putchar(f[s]+'0'); } } inline void wt_L(unsigned x){ int s=0; char f[10]; while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } while(s--){ my_putchar(f[s]+'0'); } } inline void wt_L(long long x){ int s=0; int m=0; char f[20]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ my_putchar('-'); } while(s--){ my_putchar(f[s]+'0'); } } inline void wt_L(unsigned long long x){ int s=0; char f[21]; while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } while(s--){ my_putchar(f[s]+'0'); } } int WRITER_DOUBLE_DIGIT = 15; inline int writerDigit_double(){ return WRITER_DOUBLE_DIGIT; } inline void writerDigit_double(int d){ WRITER_DOUBLE_DIGIT = d; } inline void wt_L(double x){ const int d = WRITER_DOUBLE_DIGIT; int k; int r; double v; if(x!=x || (x==x+1 && x==2*x)){ my_putchar('E'); my_putchar('r'); my_putchar('r'); return; } if(x < 0){ my_putchar('-'); x = -x; } x += 0.5 * pow(0.1, d); r = 0; v = 1; while(x >= 10*v){ v *= 10; r++; } while(r >= 0){ r--; k = floor(x / v); if(k >= 10){ k = 9; } if(k <= -1){ k = 0; } x -= k * v; v *= 0.1; my_putchar(k + '0'); } if(d > 0){ my_putchar('.'); v = 1; for(r=(0);r<(d);r++){ v *= 0.1; k = floor(x / v); if(k >= 10){ k = 9; } if(k <= -1){ k = 0; } x -= k * v; my_putchar(k + '0'); } } } inline void wt_L(const char c[]){ int i=0; for(i=0;c[i]!='\0';i++){ my_putchar(c[i]); } } inline void wt_L(string &x){ int i=0; for(i=0;x[i]!='\0';i++){ my_putchar(x[i]); } } template inline S chmin(S &a, T b){ if(a>b){ a=b; } return a; } int N; int A[3000]; int tmp[3000]; int dp[3001][3001]; int dl[3001][3001]; vector en[3001]; int solve(int s, int g){ int res = 1073709056; int i; int j; int k; if(dp[s][g] >= 0){ return dp[s][g]; } if(s==0){ return 0; } if(s+1 < g){ chmin(res, solve(s, g-1)); } for(j=(0);j<(en[g-1].size());j++){ i = en[g-1][j]; if(i > s){ chmin(res, solve(i, s) + dl[i+1][s]); } } return dp[s][g] = res; } int main(){ int Q5VJL1cS; int e98WHCEY = rd_int(); for(Q5VJL1cS=(0);Q5VJL1cS<(e98WHCEY);Q5VJL1cS++){ int i, k; rd(N); { int FmcKpFmN; for(FmcKpFmN=(0);FmcKpFmN<(N);FmcKpFmN++){ rd(A[FmcKpFmN]); } } for(i=(0);i<(N+1);i++){ int j; for(j=(0);j<(N+1);j++){ dp[i][j] = -1; } } for(k=(0);k<(N);k++){ dl[k][k] = 0; for(i=(k)-1;i>=(0);i--){ dl[i][k] = dl[i+1][k]; if(i + A[i] >= k){ dl[i][k]++; } } } for(i=(0);i<(N);i++){ en[i].clear(); } for(i=(0);i<(N);i++){ en[i+A[i]].push_back(i); } wt_L(solve(N-1,N)); wt_L('\n'); } return 0; } // cLay version 20201204-1 [beta] // --- original code --- // //no-unlocked // int N, A[3000], tmp[3000]; // int dp[3001][3001], dl[3001][3001]; // vector en[3001]; // // int solve(int s, int g){ // int res = int_inf, i, j, k; // // if(dp[s][g] >= 0) return dp[s][g]; // if(s==0) return 0; // // if(s+1 < g) res s) res = k) dl[i][k]++; // } // } // rep(i,N) en[i].clear(); // rep(i,N) en[i+A[i]].push_back(i); // wt(solve(N-1,N)); // } // }