UK public debt calcs:
GDP: £2.3t
Debt: £2.5t
D/GDP ratio: 109%
Tax rev: £0.9t
Spending: £1t
Deficit: £0.1t
Pay back period = ∞

If we balance budget, cut spend to £0.9t:
Pay back period = ∞

For a 50y back back, cut spend by 13.5% from £1t to £0.865t = -£135bn/yr

∴ inflation